Tootfinder

The Universal Theory of Locally Universal Tracial von Neumann Algebras is not Computable
Jananan Arulseelan, Aareyan Manzoor
https://arxiv.org/abs/2508.21709 https://

The Universal Theory of Locally Universal Tracial von Neumann Algebras is not Computable
Building on Lin's breakthrough MIP$^{co}$ = coRE and an encoding of non-local games as universal sentences in the language of tracial von Neumann algebras, we show that locally universal tracial von Neumann algebras have undecidable universal theories. This implies that no such algebra admits a computable presentation. Our results also provide, for the first time, explicit examples of separable II$_1$ factors without computable presentations, and in fact yield a broad family of them, including …

On the Physical Untenability of the Standard Notion of Quantum State
Christian de Ronde
https://arxiv.org/abs/2505.23989 https://arxi…

On the Physical Untenability of the Standard Notion of Quantum State
The notion of quantum state plays a fundamental role within the Standard account of Quantum Mechanics (SQM) as established by Dirac and von Neumann during 1930s and up to the present. In this work we expose the deep inconsistencies that exist within the multiple definitions of the notion of quantum state that are provided within this axiomatic formulation. As we will argue, these different inconsistent definitions continue to be -- even today -- uncritically confused within the mainstream physi…

Lecture Notes on Operator Algebras and Quantum Field Theory
Rainer Verch
https://arxiv.org/abs/2507.00900 https://arxiv.org/pdf/2507.…

Lecture Notes on Operator Algebras and Quantum Field Theory
Lecture notes prepared for the EMS--IAMP Spring School ``Symmetries and Measurement in Quantum Field Theory''. This set of lecture notes covers four lectures: 1. Operator Algebras and Quantum Field Theory, 2. Tomita-Takesaki Modular Theory of von Neumann Algebras and the Bisognano-Wichmann/Borchers Theorem, 3. Local Covariant Quantum Field Theory, 4. Temperature and Entropy-Area Relation of Quantum Fields near Horizons of Dynamical Black Holes. The basic aim is to provide an introduction into s…

X-pSRAM: A Photonic SRAM with Embedded XOR Logic for Ultra-Fast In-Memory Computing
Md Abdullah-Al Kaiser, Sugeet Sunder, Ajey P. Jacob, Akhilesh R. Jaiswal
https://arxiv.org/abs/2506.22707

X-pSRAM: A Photonic SRAM with Embedded XOR Logic for Ultra-Fast In-Memory Computing
Traditional von Neumann architectures suffer from fundamental bottlenecks due to continuous data movement between memory and processing units, a challenge that worsens with technology scaling as electrical interconnect delays become more significant. These limitations impede the performance and energy efficiency required for modern data-intensive applications. In contrast, photonic in-memory computing presents a promising alternative by harnessing the advantages of light, enabling ultra-fast da…

"And quite an adventure the life of Margittai Neumann Janos Lajos was. A child prodigy, he published his first paper in mathematics before age 20. He was the indisputable champion of applied mathematics in the 20th century. His work yielded groundbreaking advances in theoretical mathematics, quantum mechanics, game theory, economics, fluid dynamics, artificial intelligence, electrodynamics, meteorology, and computing."

William Aspray
There was a moment in which Kurt Gödel, Albert Einstein, and John von Neumann were all roaming the halls of the Institute for Advanced Studies in Princeton at the same time. Let that information sink in. Humanity experiences such gatherings of brilliant minds in a remote location of the space-time continuum only every so often; maybe the ancient Greeks and the men of the Renaissance witnessed such periods in time, as did the IAS staff at the end of World War II. How much will we have to wait f…

Entanglement, Trace Anomaly and Confinement in QCD
Kiminad A. Mamo
https://arxiv.org/abs/2507.00176 https://arxiv.org/pdf/2507.00176

Entanglement, Trace Anomaly and Confinement in QCD
We formulate confinement in QCD as an entropic surface phenomenon. Quark and gluon quantum information is localized on a two-dimensional transverse sheet of radius $R_{\mathrm{EE}}$ where the von Neumann entropy of the vacuum attains its maximum. Lattice QCD determinations of scalar (trace) gravitational form factors fix both $R_{\mathrm{EE}}$ and the transverse trace-anomaly density $ρ_h(R_{\mathrm{EE}})$ with percent-level accuracy, enabling a parameter-free mechanical entropy $S_{\mathrm{EE…

A Mixed-Signal Photonic SRAM-based High-Speed Energy-Efficient Photonic Tensor Core with Novel Electro-Optic ADC
Md Abdullah-Al Kaiser, Sugeet Sunder, Ajey P. Jacob, Akhilesh R. Jaiswal
https://arxiv.org/abs/2506.22705

A Mixed-Signal Photonic SRAM-based High-Speed Energy-Efficient Photonic Tensor Core with Novel Electro-Optic ADC
The rapid surge in data generated by Internet of Things (IoT), artificial intelligence (AI), and machine learning (ML) applications demands ultra-fast, scalable, and energy-efficient hardware, as traditional von Neumann architectures face significant latency and power challenges due to data transfer bottlenecks between memory and processing units. Furthermore, conventional electrical memory technologies are increasingly constrained by rising bitline and wordline capacitance, as well as the resi…

Von Neumann was the subject of many dotty professor stories. Von Neumann
supposedly had the habit of simply writing answers to homework assignments on
the board (the method of solution being, of course, obvious) when he was asked
how to solve problems. One time one of his students tried to get more helpful
information by asking if there was another way to solve the problem. Von
Neumann looked blank for a moment, thought, and then answered, "Yes.".

Replaced article(s) found for math.OA. https://arxiv.org/list/math.OA/new
[1/1]:
- Quantum Expanders and Quantifier Reduction for Tracial von Neumann Algebras
Ilijas Farah, David Jekel, Jennifer Pi

Augmenting Von Neumann's Architecture for an Intelligent Future
Rajpreet Singh, Vidhi Kothari
https://arxiv.org/abs/2507.16628 https://

Augmenting Von Neumann's Architecture for an Intelligent Future
This work presents a novel computer architecture that extends the Von Neumann model with a dedicated Reasoning Unit (RU) to enable native artificial general intelligence capabilities. The RU functions as a specialized co-processor that executes symbolic inference, multi-agent coordination, and hybrid symbolic-neural computation as fundamental architectural primitives. This hardware-embedded approach allows autonomous agents to perform goal-directed planning, dynamic knowledge manipulation, and …

Between Myth and History: von Neumann on Consciousness in Quantum Mechanics
Federico Laudisa
https://arxiv.org/abs/2508.15871 https://arxiv.org/pdf/2508.15…

Between Myth and History: von Neumann on Consciousness in Quantum Mechanics
The von Neumann attitude on such a deep interpretational question as the role of a human observer in order for the quantum description of measurement to be consistent has been long misrepresented. The large majority of the subsequent literature ascribed to von Neumann a radical view, according to which not only the collapse was in itself a truly physical process, but also the only way to accomodate it within a quantum description of a typical measurement was the introduction of human consciousn…

Schatten-von Neumann classes of tensors of invariant operators
Julio Delgado, Liliana Posada, Michael Ruzhansky
https://arxiv.org/abs/2507.15055 https://…

Schatten-von Neumann classes of tensors of invariant operators
In this work we study Schatten-von Neumann classes of tensor products of invariant operators on Hilbert spaces. In the first part we first deduce some spectral properties for tensors of anharmonic oscillators thanks to the knowledge on corresponding Schatten-von Neumann properties. In the second part we specialised on tensors of invariant operators. In the special case where a suitable Fourier analysis associated to a fixed partition of a Hilbert space into finite dimensional subspaces is avail…

The algebraic structure of gravitational scrambling
Geoff Penington, Elisa Tabor
https://arxiv.org/abs/2508.21062 https://arxiv.org/pdf/2508.21062

The algebraic structure of gravitational scrambling
We introduce a new algebraic framework to describe gravitational scrambling, including the semiclassical limit of any out-of-time-order correlation function that is built out of operator insertions separated by approximately the scrambling time. In two dimensions, the scrambling algebra, which we call a modular-twisted product, is defined in terms of two copies of the Leutheusser-Liu half-sided modular inclusion of von Neumann algebras; these describe early- and late-time operators respectively…

The regular representation of Neretin groups is factorial
Basile Morando
https://arxiv.org/abs/2506.24029 https://arxiv.org/pdf/2506.…

The regular representation of Neretin groups is factorial
We show that the left regular representation of Neretin groups is factorial, providing the first example of a non-discrete simple group with this property. This is based on a new criterion of factoriality for totally disconnected groups. For groups G satisfying the criterion, we determine the type of the factor L(G) and derive factoriality results for crossed products associated to G-actions on von Neumann algebras.

Timed Prediction Problem for Sandpile Models
Pablo Concha-Vega (AMU, LIS), K\'evin Perrot (AMU, LIS)
https://arxiv.org/abs/2506.21084 https://

Timed Prediction Problem for Sandpile Models
We investigate the computational complexity of the timed prediction problem in two-dimensional sandpile models. This question refines the classical prediction problem, which asks whether a cell q will eventually become unstable after adding a grain at cell p from a given configuration. The prediction problem has been shown to be P-complete in several settings, including for subsets of the Moore neighborhood, but its complexity for the von Neumann neighborhood remains open. In a previous work, w…

What would John von Neumann (Neumann Jšnos Lajos) and Alan Turing say if they see their concepts implemented in a tiny and even flexible micro computer thats more powerful than what was available at their time: https://www.kickstarter.com/projects/harshu/rp2040…

Neuromorphic Computing: A Theoretical Framework for Time, Space, and Energy Scaling
James B Aimone
https://arxiv.org/abs/2507.17886 https://arxiv.org/pdf/2…

Neuromorphic Computing: A Theoretical Framework for Time, Space, and Energy Scaling
Neuromorphic computing (NMC) is increasingly viewed as a low-power alternative to conventional von Neumann architectures such as central processing units (CPUs) and graphics processing units (GPUs), however the computational value proposition has been difficult to define precisely. Here, we explain how NMC should be seen as general-purpose and programmable even though it differs considerably from a conventional stored-program architecture. We show that the time and space scaling of NMC is equ…

Bitte unbedingt dem
@… folgen. Und diesen Thread lesen <https://mastodon.social/@mtz767/114839923494727506> , besonders interessant …

Noise Quantification and Control in Circuits via Strong Data-Processing Inequalities
Chenyang Sun
https://arxiv.org/abs/2507.15108 https://

Noise Quantification and Control in Circuits via Strong Data-Processing Inequalities
This essay explores strong data-processing inequalities (SPDI's) as they appear in the work of Evans and Schulman \cite{ES} and von Neumann \cite{vN} on computing with noisy circuits. We first develop the framework in \cite{ES}, which leads to lower bounds on depth and upper bounds on noise that permit reliable computation. We then introduce the $3$-majority gate, introduced by \cite{vN} for the purpose of controlling noise, and obtain an upper bound on noise necessary for its function. We end …

Correlation functions of von Neumann entropy
Mathew W. Bub, Allic Sivaramakrishnan
https://arxiv.org/abs/2506.10917 https://arxiv.org…

Correlation functions of von Neumann entropy
In this note, we study two-point correlation functions of modular Hamiltonians. We show that in general quantum systems, these correlators obey properties similar to those of von Neumann entropy and capacity of entanglement, both of which are special cases of these correlators. Then we specialize to two spacelike-separated spherical subregions in conformal field theories. We present direct computations of the vacuum two-point function that confirm its equivalence to the stress-tensor conformal …

Peripheral Poisson Boundary: Extensions and Examples
B V Rajarama Bhat, Astrid Swizell Dias
https://arxiv.org/abs/2507.20668 https://arxiv.org/pdf/2507.206…

Peripheral Poisson Boundary: Extensions and Examples
The main purpose of this article is to explore the possibility of extending the notion of peripheral Poisson boundary of unital completely positive (UCP) maps to contractive completely positive (CCP) maps and to unital and non-unital contractive quantum dynamical semigroups on von Neumann algebras. We observe that the theory extends easily in the setting of von Neumann algebras and normal maps. Surprisingly, the peripheral Poisson boundary is unital, whenever it is nontrivial, even for contract…

Skew von Neumann constant in Weak Orlicz Spaces and Weak Lebesgue Spaces
Haoyu Zhou, Qi Liu, Yuxin Wang, Man Liang, Linlin Fu
https://arxiv.org/abs/2508.06999 https://

Skew von Neumann constant in Weak Orlicz Spaces and Weak Lebesgue Spaces
This paper defines the skew von Neumann constant in quasi-Banach spaces. Meanwhile, we obtain two constants. It presents the upper and lower bounds of two constants. Subsequently, it deduces the lower bound of the skew von Neumann constant within weak Orlicz spaces. Then, leveraging the relationship between weak Orlicz spaces and weak Lebesgue spaces, the lower bound of the skew von Neumann - Jordan constant in weak Lebesgue spaces is established. Meanwhile, in this paper, we also generalize th…

Koopman-von Neumann Field Theory
James Stokes
https://arxiv.org/abs/2507.11541 https://arxiv.org/pdf/2507.11541

Koopman-von Neumann Field Theory
The classical many-body problem is reformulated as a bosonic quantum field theory. Quantum field operators evolve unitarily in the Heisenberg picture so that a quantum Vlasov equation is satisfied as an operator identity. The formalism enables the direct transfer of techniques from quantum information and quantum many-body field theory to classical nonequilibrium statistical mechanics. Implications for quantum algorithms are discussed.

Characterizing and Testing Configuration Stability in Two-Dimensional Threshold Cellular Automata
Yonatan Nakar, Dana Ron
https://arxiv.org/abs/2507.14569 …

Characterizing and Testing Configuration Stability in Two-Dimensional Threshold Cellular Automata
We consider the problems of characterizing and testing the stability of cellular automata configurations that evolve on a two-dimensional torus according to threshold rules with respect to the von-Neumann neighborhood. While stable configurations for Threshold-1 (OR) and Threshold-5 (AND) are trivial (and hence easily testable), the other threshold rules exhibit much more diverse behaviors. We first characterize the structure of stable configurations with respect to the Threshold-2 (similarly, …

Essential Self-Adjointness of the Geometric Deformation Operator on a Compact Interval
Anton Alexa
https://arxiv.org/abs/2506.18914 https://

Essential Self-Adjointness of the Geometric Deformation Operator on a Compact Interval
We define a second-order differential operator $\hat{C}$ on the Hilbert space $L^2([-v_c, v_c])$, constructed from a smooth deformation function $C(v)$. The operator is considered on the Sobolev domain $H^2([-v_c, v_c]) \cap H^1_0([-v_c, v_c])$ with Dirichlet boundary conditions. We prove that $\hat{C}$ is essentially self-adjoint by verifying its symmetry and computing von Neumann deficiency indices, which vanish. All steps are carried out explicitly. This result ensures the mathematical consi…

Studies on the $\pi^ p$ elastic scattering via the von Neumann entropy
Seung-il Nam
https://arxiv.org/abs/2506.10672 https://arxiv.o…

Studies on the $π^+ p$ elastic scattering via the von Neumann entropy
We study the $π^+ p$ elastic scattering process using an effective Lagrangian approach that incorporates the $s$-, $u$-, and $t$-channel amplitudes, including $Δ^{++,0}(1232)$, neutron, and $ρ^0$ contributions. By constructing the spin-density matrices (SDMs) from helicity amplitudes, we derive the von Neumann (entanglement) entropy associated with the spin degrees of freedom of the initial and final state particles. We compute the entropy by performing a partial trace over the spin subsyste…

On the stability of the low-rank projector-splitting integrator for hyperbolic and parabolic equations
Shiheng Zhang, Jingwei Hu
https://arxiv.org/abs/2507.15192

On the stability of the low-rank projector-splitting integrator for hyperbolic and parabolic equations
We study the stability of a class of dynamical low-rank methods--the projector-splitting integrator (PSI)--applied to linear hyperbolic and parabolic equations. Using a von Neumann-type analysis, we investigate the stability of such low-rank time integrator coupled with standard spatial discretizations, including upwind and central finite difference schemes, under two commonly used formulations: discretize-then-project (DtP) and project-then-discretize (PtD). For hyperbolic equations, we show t…

One-dimensional blast waves in a rarefied polyatomic gas with large bulk viscosity based on rational extended thermodynamics
Shigeru Taniguchi
https://arxiv.org/abs/2508.15329 h…

One-dimensional blast waves in a rarefied polyatomic gas with large bulk viscosity based on rational extended thermodynamics
The one-dimensional blast waves in a rarefied polyatomic gas with large bulk viscosity are studied based on rational extended thermodynamics (RET) with six independent fields: mass density, velocity, (equilibrium) pressure, and dynamic pressure. First, by using the method of Lie group theory, we derive a similarity solution of blast waves induced by an intense point explosion. We discuss the deviation from the well-known Sedov-von Neumann-Taylor solution due to the dynamic pressure. Second, we …

Extension of Second-Principles Density Functional Theory into the time domain
Toraya Fern\'andez-Ruiz, Jorge \'I\~niguez, Javier Junquera, Pablo Garc\'ia-Fern\'andez
https://arxiv.org/abs/2507.13824

Extension of Second-Principles Density Functional Theory into the time domain
We present an extension of the second-principles density functional theory (SPDFT) method to perform time-dependent simulations. Our approach, which calculates the evolution of the density matrix in real time and real space using the Liouville-von Neumann equation of motion, allows determining optical and transport properties for very large systems, involving tens of thousands of atoms, using very modest computational platforms. In contrast with other methods, we show that SPDFT can be applied …

Replaced article(s) found for cs.GT. https://arxiv.org/list/cs.GT/new
[1/1]:
- Von Neumann's minimax theorem through Fourier-Motzkin elimination
Mark Voorneveld

Femtojoule-per-operation photonic computer for the subset sum problem
Tian-Yu Zhang, Xiao-Yun Xu, Wen-Hao Zhou, Xiao-Wei Wang, Chu-Han Wang, Yi-Jun Chang, Ying-Yue Yang, Jie Ma, Ka-Di Zhu, Xian-Min Jin
https://arxiv.org/abs/2508.17274

Femtojoule-per-operation photonic computer for the subset sum problem
Energy-efficient computing is becoming increasingly important in the information era. However, electronic computers with von Neumann architecture can hardly meet the challenge due to the inevitable energy-intensive data movement, especially when tackling computationally hard problems or complicated tasks. Here, we experimentally demonstrate an energy-efficient photonic computer that solves intractable subset sum problem (SSP) by making use of the extremely low energy level of photons (~10^(-19)…

Replaced article(s) found for math.RA. https://arxiv.org/list/math.RA/new
[1/1]:
- Representation of partially ordered sets over Von Neumann regular algebras. More prime, non-primi...
Giuseppe Baccella

Optimal Hamiltonian for a quantum state with finite entropy
M. E. Shirokov
https://arxiv.org/abs/2508.16575 https://arxiv.org/pdf/2508.16575

Optimal Hamiltonian for a quantum state with finite entropy
We consider the following task: how for a given quantum state $ρ$ to find a grounded Hamiltonian $H$ such that $\mathrm{Tr}Hρ\leq E_0<+\infty$ in such a way that the von Neumann entropy of the Gibbs state $γ_H(E)$ corresponding to a given energy $E>0$ be as small as possible. We show that for any mixed state $ρ$ with finite entropy and any $E>0$ there is a unique solution $H(ρ,E_0,E)$ of the above problem which we call optimal Hamiltonian for this state. Explicit expressions for $H(ρ,E_…

Non-Euclidean dual gradient ascent for entropically regularized linear and semidefinite programming
Yuhang Cai, Michael Lindsey
https://arxiv.org/abs/2506.09711

Non-Euclidean dual gradient ascent for entropically regularized linear and semidefinite programming
We present an optimization framework that exhibits dimension-independent convergence on a broad class of semidefinite programs (SDPs). Our approach first regularizes the primal problem with the von Neumann entropy, then solve the regularized problem using dual gradient ascent with respect to a problem-adapted norm. In particular, we show that the dual gradient norm converges to zero at a rate independent of the ambient dimension and, via rounding arguments, construct primal-feasible solutions i…

CoMoNM: A Cost Modeling Framework for Compute-Near-Memory Systems
Hamid Farzaneh, Asif Ali Khan, Jeronimo Castrillon
https://arxiv.org/abs/2508.11451 https://

CoMoNM: A Cost Modeling Framework for Compute-Near-Memory Systems
Compute-Near-Memory (CNM) systems offer a promising approach to mitigate the von Neumann bottleneck by bringing computational units closer to data. However, optimizing for these architectures remains challenging due to their unique hardware and programming models. Existing CNM compilers often rely on manual programmer annotations for offloading and optimizations. Automating these decisions by exploring the optimization space, common in CPU/GPU systems, is difficult for CNMs as constructing and …

On the equivalent p-th von Neumann-Jordan constant associated with isosceles orthogonality in Banach spaces
Yuxin Wang, Qi Liu, Yongmo Hu, Jinyu Xia, Mengmeng Bao
https://arxiv.org/abs/2506.13142

On the equivalent p-th von Neumann-Jordan constant associated with isosceles orthogonality in Banach spaces
In this paper, we define a new geometric constant based on isosceles orthogonality, denoted by . Through research, we find that this constant is the equivalent p-th von Neumann Jordan constant in the sense of isosceles orthogonality. First, we obtain some basic properties of the constant. Then, we calculate the upper and lower bounds of the constant. Through three examples, it is found that the upper bound of the constant is attainable. We also compare the relationship between this constant and…

The holographic entanglement pattern of BTZ planar black hole from a thread perspective
Yi-Yu Lin, Dong-Yu Fang, Jie-Chen Jin, Chen-Ye Li
https://arxiv.org/abs/2508.16977 https:…

The holographic entanglement pattern of BTZ planar black hole from a thread perspective
In this paper, we study the holographic quantum entanglement structure in the finite-temperature CFT state/planar BTZ black hole correspondence from the perspective of entanglement threads. Unlike previous studies based on bit threads, these entanglement threads provide a more detailed characterization of the contribution sources to the von Neumann entropy of boundary subregions, in particular by quantitatively deriving the flux function of entanglement threads that traverse the wormhole horizo…

Model Theory of General von Neumann Algebras I: Generalized Ocneanu Ultraproducts
Jananan Arulseelan
https://arxiv.org/abs/2508.17241 https://arxiv.org/pdf…

Model Theory of General von Neumann Algebras I: Generalized Ocneanu Ultraproducts
This paper collates, presents, and expands upon technology and results obtained as part of the author's PhD thesis. We generalize work done in the $σ$-finite setting by the author, Goldbring, Hart, and Sinclair by producing a language and axiomatization of full left Hilbert algebras. To improve the accessibility of using this axiomatization, we examine the metric structure ultraproduct associated to this axiomatization. In doing so, we generalize results of Ando-Haagerup and Masuda-Tomatsu. Th…

On the quantum algebra $su_q(1,1)$ from a Special Function standpoint
R. Alvarez-Nodarse, A. Arenas-Gomez
https://arxiv.org/abs/2507.14100 https://

On the quantum algebra $su_q(1,1)$ from a Special Function standpoint
In this paper, we study the tensor product of two unitary irreducible representations, as well as the tensor product of a unitary irreducible representation with a finite-dimensional one, and determine the corresponding Clebsch-Gordan coefficients. Using von Neumann's projection operator method, we obtain an explicit representation of these coefficients, which allows us to express them as symmetric q-hypergeometric series. Finally, by leveraging the properties of the q-hypergeometric function, …

A Duflo-Moore theorem for ergodic group actions on semifinite von Neumann algebras
Ulrik Enstad, Hannes Wendt
https://arxiv.org/abs/2508.15575 https://arxi…

A Duflo-Moore theorem for ergodic group actions on semifinite von Neumann algebras
We prove a generalization of the orthogonality relations of Duflo and Moore for ergodic, trace-preserving group actions on von Neumann algebras that are integrable in a suitable sense. We also obtain convolution inequalities that generalize both Young's inequality for convolution on locally compact groups and inequalities for operator-operator convolutions in Werner's quantum harmonic analysis.

The algebraic structures of social organizations: the operad of cooperative games
Dylan Laplace Mermoud, Victor Roca i Lucio
https://arxiv.org/abs/2507.01969

The algebraic structures of social organizations: the operad of cooperative games
The main goal of this paper is to settle a conceptual framework for cooperative game theory in which the notion of composition/aggregation of games is the defining structure. This is done via the mathematical theory of algebraic operads: we start by endowing the collection of all cooperative games with any number of players with an operad structure, and we show that it generalises all the previous notions of sums, products and compositions of games considered by Owen, Shapley, von Neumann and M…

A Time- and Energy-Efficient CNN with Dense Connections on Memristor-Based Chips
Wenyong Zhou, Yuan Ren, Jiajun Zhou, Tianshu Hou, Ngai Wong
https://arxiv.org/abs/2508.12251 htt…

A Time- and Energy-Efficient CNN with Dense Connections on Memristor-Based Chips
Designing lightweight convolutional neural network (CNN) models is an active research area in edge AI. Compute-in-memory (CIM) provides a new computing paradigm to alleviate time and energy consumption caused by data transfer in von Neumann architecture. Among competing alternatives, resistive random-access memory (RRAM) is a promising CIM device owing to its reliability and multi-bit programmability. However, classical lightweight designs such as depthwise convolution incurs under-utilization …

Entanglement and particle production from cosmological perturbations: a quantum optical simulation approach
Pramod Kamal Kharel, Mausam Ghimire, Ashish Khanal, Samyam Pudasaini, Nabaraj Khatri, Sayujya Bhandari, Divash Rai, Kiran Adhikari, Rajeev Singh
https://arxiv.org/abs/2508.04249

Entanglement and particle production from cosmological perturbations: a quantum optical simulation approach
In this work, we develop a computational framework based on the Gaussian formalism and symplectic circuit representation to explore cosmological perturbations during inflation. These tools offer an efficient means to study entanglement generation and particle production, particularly when analytical methods become insufficient and numerical simulations are essential. By evolving an initial Bunch-Davies vacuum through a two-mode squeezer, we simulate the behavior of the von Neumann entropy and l…

Replaced article(s) found for math.GR. https://arxiv.org/list/math.GR/new
[1/1]:
- The Haagerup property for groups and for tracial von Neumann algebras in terms of invariant and m...
Paul Jolissaint

Angela and the electric dipole response -- giant and pygmy, hot and cold, isoscalar and isovector
Peter von Neumann-Cosel (Institut f\"ur Kernphysik, Technische Universit\"at Darmstadt, Darmstadt, Germany, Norwegian Nuclear Research Center and Department of Physics, University of Oslo, Oslo, Norway)
https://arxiv.org/a…

Angela and the electric dipole response -- giant and pygmy, hot and cold, isoscalar and isovector
The impact of Angela Bracco's work on the electric dipole response of nuclei is discussed using three examples of current nuclear structure problems: disentangling different contributions to the decay width of the giant dipole resonance, the equivalence of photo-absorption and -emission and the nature of the pygmy dipole resonance.

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem
Li Jingyuan
https://arxiv.org/abs/2506.07066 https://arxiv.or…

From Axioms to Algorithms: Mechanized Proofs of the vNM Utility Theorem
This paper presents a comprehensive formalization of the von Neumann-Morgenstern (vNM) expected utility theorem using the Lean 4 interactive theorem prover. We implement the classical axioms of preference-completeness, transitivity, continuity, and independence-enabling machine-verified proofs of both the existence and uniqueness of utility representations. Our formalization captures the mathematical structure of preference relations over lotteries, verifying that preferences satisfying the vNM…

Replaced article(s) found for quant-ph. https://arxiv.org/list/quant-ph/new
[2/2]:
- Information-acquiring von Neumann architecture of a computer: Functionality and subjectivity
Eiji Konishi

Invariant subalgebras rigidity for von Neumann algebras of groups arising as certain semidirect products
Tattwamasi Amrutam, Artem Dudko, Yongle Jiang, Adam Skalski
https://arxiv.org/abs/2507.12824

Invariant subalgebras rigidity for von Neumann algebras of groups arising as certain semidirect products
We study the ISR (von Neumann invariant subalgebra rigidity) property for certain discrete groups arising as semidirect products from algebraic actions on certain 2-torsion groups, mostly arising as direct products of $\mathbb{Z}_2$. We present, in particular, the first example of an amenable group with the ISR property that admits a non-trivial abelian normal subgroup. Several other examples are discussed, notably including an infinite amenable group whose von Neumann algebra admits precisely …

The Electron-Gamma Coincidence Setup DAGOBERT
B. Hesbacher, G. Steinhilber, J. Isaak, N. Pietralla, J. Birkhan, M. L. Cort\'es, D. H. Jakubassa-Amundsen, I. Jurosevic, P. von Neumann-Cosel, M. Rech, X. Roca-Maza, D. Schneider
https://arxiv.org/abs/2506.02072

The Electron-Gamma Coincidence Setup DAGOBERT
The QCLAM electron spectrometer at the S-DALINAC electron accelerator at Technische Universität Darmstadt has been extended by the DAGOBERT $γ$-detector array consisting of fast timing and high efficiency LaBr$_3$:Ce detectors to perform electron-gamma coincidence measurements. The functionality of the setup and data acquisition system was demonstrated in a commissioning measurement on $^{12}\textrm{C}$ observing the $4.44\,$MeV and $15.11\,$MeV states. A medium-heavy nucleus, $^{96}\textrm{R…

On the Jordan-Chevalley-Dunford decomposition of operators in type $I$ Murray-von Neumann algebras
Soumyashant Nayak, Renu Shekhawat
https://arxiv.org/abs/2506.17227

On the Jordan-Chevalley-Dunford decomposition of operators in type $I$ Murray-von Neumann algebras
We show that, for $n \ge 3$, the mapping on $M_n(\mathbb{C})$ which sends a matrix to its diagonalizable part in its Jordan-Chevalley decomposition, is {\bf norm-unbounded} on any neighbourhood of the zero matrix. Let $X$ be a Stonean space, and $\mathcal{N}(X)$ denote the $*$-algebra of (unbounded) normal functions on $X$, containing $C(X)$ as a $*$-subalgebra. We show that every element of $M_n\big(\mathcal{N}(X)\big)$ has a unique Jordan-Chevalley decomposition. Furthermore, when $n \ge 3$ a…

Detecting entanglement with transport measurement in weakly interacting and fluctuating systems
Zhenhua Zhu, Gu Zhang, Dong E. Liu
https://arxiv.org/abs/2508.02378 https://

Detecting entanglement with transport measurement in weakly interacting and fluctuating systems
Measuring entanglement entropy in interacting, multipartite systems remains a significant experimental challenge. We address this challenge by developing a protocol to measure von Neumann entropy (VNE) and mutual information in quantum transport systems with both many-body interactions and multiple subsystems. Our analysis indicates that the vital connection between VNE and two-point correlation functions persists under these realistic conditions. The measurement is shown to be feasible for sys…

This https://arxiv.org/abs/2412.20515 has been replaced.
initial toot: https://mastoxiv.page/@…

Entanglement as a topological marker in harmonically confined attractive Fermi-Hubbard chains
We investigate the single-site von Neumann entropy along a harmonically confined superfluid chain, as described by the one-dimensional fermionic Hubbard model with strongly attractive interactions. We find that by increasing the confinement (or equivalently the particle filling) the system undergoes a quantum phase transition from a superfluid (SF) to a non-trivial topological insulator (TI) phase, which is characterized by an insulating bulk surrounded by highly entangled superfluid edges. The…

Coherent Ising Machines: The Good, The Bad, The Ugly
Farhad Khosravi, Martin Perreault, Artur Scherer, Pooya Ronagh
https://arxiv.org/abs/2507.14489 https:…

Coherent Ising Machines: The Good, The Bad, The Ugly
Analog computing using bosonic computational states is a leading approach to surpassing the computational speed and energy limitations of von Neumann architectures. But the challenges of manufacturing large-scale photonic integrated circuits (PIC) has led to hybrid solutions that integrate optical analog and electronic digital components. A notable example is the coherent Ising machine (CIM), that was primarily invented for solving quadratic binary optimization problems. In this paper, we focus…

Pomeron evolution, entanglement entropy and Abramovskii-Gribov-Kancheli cutting rules
Mustapha Ouchen, Alex Prygarin
https://arxiv.org/abs/2508.12102 https://

Pomeron evolution, entanglement entropy and Abramovskii-Gribov-Kancheli cutting rules
We use Pomeron evolution equation in zero transverse dimension based on the Abramovskii-Gribov-Kancheli~(AGK) cutting rules to calculate the von Neumann entropy and $q$-moments that used as an experimental test for the Koba-Nielsen-Olesen~(KNO) scaling. In order to avoid the negative probabilities that emerge from the negative AGK weights in the Minkowski space, we reformulate the Pomeron evolution in the Euclidean space. The resulting positive definite probabilities for cut and uncut Pomeron…

Strong converse rate for asymptotic hypothesis testing in type III
Nicholas Laracuente, Marius Junge
https://arxiv.org/abs/2507.07989 https://

Strong converse rate for asymptotic hypothesis testing in type III
We extend from the hyperfinite setting to general von Neumann algebras Mosonyi and Ogawa's (2015) and Mosonyi and Hiai's (2023) results showing the operational interpretation of sandwiched relative Rényi entropy in the strong converse of hypothesis testing. The specific task is to distinguish between two quantum states given many copies. We use a reduction method of Haagerup, Junge, and Xu (2010) to approximate relative entropy inequalities in an arbitrary von Neumann algebra by those in finit…

Word Error Rate Definitions and Algorithms for Long-Form Multi-talker Speech Recognition
Thilo von Neumann, Christoph Boeddeker, Marc Delcroix, Reinhold Haeb-Umbach
https://arxiv.org/abs/2508.02112

Word Error Rate Definitions and Algorithms for Long-Form Multi-talker Speech Recognition
The predominant metric for evaluating speech recognizers, the Word Error Rate (WER) has been extended in different ways to handle transcripts produced by long-form multi-talker speech recognizers. These systems process long transcripts containing multiple speakers and complex speaking patterns so that the classical WER cannot be applied. There are speaker-attributed approaches that count speaker confusion errors, such as the concatenated minimum-permutation WER cpWER and the time-constrained cp…

Reconfigurable Digital RRAM Logic Enables In-Situ Pruning and Learning for Edge AI
Songqi Wang, Yue Zhang, Jia Chen, Xinyuan Zhang, Yi Li, Ning Lin, Yangu He, Jichang Yang, Yingjie Yu, Yi Li, Zhongrui Wang, Xiaojuan Qi, Han Wang
https://arxiv.org/abs/2506.13151

Reconfigurable Digital RRAM Logic Enables In-Situ Pruning and Learning for Edge AI
The human brain simultaneously optimizes synaptic weights and topology by growing, pruning, and strengthening synapses while performing all computation entirely in memory. In contrast, modern artificial-intelligence systems separate weight optimization from topology optimization and depend on energy-intensive von Neumann architectures. Here, we present a software-hardware co-design that bridges this gap. On the algorithmic side, we introduce a real-time dynamic weight-pruning strategy that moni…

Principle of Diminishing Potentialities in Large N Algebra
Bik Soon Sia
https://arxiv.org/abs/2508.11688 https://arxiv.org/pdf/2508.11688

Principle of Diminishing Potentialities in Large N Algebra
A connection between the completion of quantum mechanics featuring events and the theory of emergent spacetime in quantum gravity where von Neumann algebra plays a vital role is established. In thermal equilibrium, we show that the Principle of Diminishing Potentialities (PDP) holds for the large $N$ algebra of $\mathcal{N}=4$ Super Yang-Mills (SYM) theory with gauge group $SU(N)$ when the temperature is higher than Hawking-Page temperature. Below Hawking-Page transition and for the case of zer…

Types of graded tensor products of graded von Neumann algebras
Jumpei Tanaka
https://arxiv.org/abs/2508.10084 https://arxiv.org/pdf/2508.10084

Types of graded tensor products of graded von Neumann algebras
There is a famous multiplication table of types of tensor product of two von Neumann algebras. We filled out the multiplication table of graded tensor product of two graded von Neumann algebras in special cases.

Acyclic complexes and regular rings
Lars Winther Christensen, Sergio Estrada, Peder Thompson
https://arxiv.org/abs/2506.09831 https://

Acyclic complexes and regular rings
A 2009 paper by Iacob and Iyengar characterizes noetherian regular rings in terms of properties of complexes of projective modules, flat modules, and injective modules. We show that the relevant properties of such complexes are equivalent without reference to regularity of the ring and that they characterize coherent regular rings and von Neumann regular rings.

Error exponents for tripartite-to-bipartite entanglement transformations
P\'eter Vrana
https://arxiv.org/abs/2507.13778 https://a…

Error exponents for tripartite-to-bipartite entanglement transformations
We consider distillation of ebits between a specified pair of subsystems from pure tripartite states by local operations and classical communication. It is known that, allowing an asymptotically vanishing error, the maximal rate is the minimum of the von Neumann entropies of the two corresponding marginals, and under asymptotic stochastic local operations and classical communication the maximal rate is given by a minimization over a one-parameter family of entanglement measures. In this paper, …

A local quantization principle for inclusions of tracial von Neumann algebras
Xinyan Cao, Junsheng Fang, Chunlan Jiang, Zhaolin Yao
https://arxiv.org/abs/2507.04244

A local quantization principle for inclusions of tracial von Neumann algebras
We study the local quantization principle (after Sorin Popa~\cite{popa 94} and \cite{popa 95}) of inclusions of tracial von Neumann algebras. Let $(\mathcal{M},τ)$ be a type ${\rm II}_1$ von Neumann algebra and let $\mathcal{N}\subseteq \mathcal{M}$ be a type ${\rm II}_1$ von Neumann subalgebra. Let $x_1,\ldots, x_m \in \mathcal{M}$ and $ ε> 0$. Then there exists a partition of 1 with projections $p_{1}, \ldots, p_{n}$ in $\mathcal{N}$ such that \[\left\|\sum_{i=1}^n p_{i}\left(x_j-E_{\m…

Procedural Mixture Sets
Hendrik Rommeswinkel
https://arxiv.org/abs/2508.07588 https://arxiv.org/pdf/2508.07588

Procedural Mixture Sets
The paper characterizes the Shannon (1948) and Tsallis (1988) entropies in a standard framework of decision theory, mixture sets. Procedural mixture sets are introduced as a variant of mixture sets in which it is not necessarily true that a mixture of two identical elements yields the same element. This allows the process of mixing itself to have an intrinsic value. The paper proves the surprising result that simply imposing the standard axioms of von Neumann-Morgenstern on preferences on a pro…

Exploring near critical lattice gauge simulators with Rydberg atoms facilities
Avi Kaufman, James Corona, Zane Ozzello, Blake Senseman, Muhammad Asaduzzaman, Yannick Meurice
https://arxiv.org/abs/2507.14128

Exploring near critical lattice gauge simulators with Rydberg atoms facilities
We motivate the use of a ladder of Rydberg atoms as an analog simulator for a lattice gauge theory version of scalar electrodynamics also called the compact Abelian Higgs model. We demonstrate that by using a few thousand shots from a single copy of the ladder simulator it is possible to estimate the bipartite quantum von Neumann entanglement entropy $S^{vN}_A$. The estimation relies on an optimized filtration of the mutual information associated with the bitstrings obtained from public facilit…

Form factors of composite branch-point twist operators in the sinh-Gordon model on a multi-sheeted Riemann surface: semiclassical limit
Michael Lashkevich, Amir Nesturov
https://arxiv.org/abs/2508.12878

Form factors of composite branch-point twist operators in the sinh-Gordon model on a multi-sheeted Riemann surface: semiclassical limit
Quantum sinh-Gordon model in 1+1 dimensions is one of the simplest and best-studied massive integrable relativistic quantum field theories. We consider this theory on a multi-sheeted Riemann surfaces with a flat metric, which can be seen as a pile of planes connected to each other along cut lines. The cut lines end at branch points, which are represented by a twist operator ${\cal T}_n.$ Operators of such kind are interesting in the framework of the problem of computing von Neumann and Renyi en…

Replaced article(s) found for math.OA. https://arxiv.org/list/math.OA/new
[1/1]:
- Sequential commutation in tracial von Neumann algebras
Srivatsav Kunnawalkam Elayavalli, Gregory Patchell

Quantum mechanics, non-locality, and the space discreteness hypothesis
W. A. Z\'u\~niga-Galindo
https://arxiv.org/abs/2508.14836 https://arxiv.org/pdf/…

Quantum mechanics, non-locality, and the space discreteness hypothesis
The space discreteness hypothesis asserts that the nature of space at short distances is radically different from that at large distances. Based on the Bronstein inequality, here, we use a totally disconnected topological space $\mathcal{X}$ as a model for the space. However, we consider the time as a real variable. In this framework, the formalism of Dirac-von Neumann can be used. This discreteness hypothesis implies that given two different points in space, there is no continuous curve (a wor…

Replaced article(s) found for physics.class-ph. https://arxiv.org/list/physics.class-ph/new
[1/1]:
- Dirac-von Neumann Type Axiomatic Structure for Classical Electromagnetism
Daniel W. Piasecki

OISMA: On-the-fly In-memory Stochastic Multiplication Architecture for Matrix-Multiplication Workloads
Shady Agwa, Yihan Pan, Georgios Papandroulidakis, Themis Prodromakis
https://arxiv.org/abs/2508.08822

OISMA: On-the-fly In-memory Stochastic Multiplication Architecture for Matrix-Multiplication Workloads
Artificial Intelligence models are currently driven by a significant up-scaling of their complexity, with massive matrix multiplication workloads representing the major computational bottleneck. In-memory computing architectures are proposed to avoid the Von Neumann bottleneck. However, both digital/binary-based and analogue in-memory computing architectures suffer from various limitations, which significantly degrade the performance and energy efficiency gains. This work proposes OISMA, a nove…

Algebras, Entanglement Islands, and Observers
Hao Geng, Yikun Jiang, Jiuci Xu
https://arxiv.org/abs/2506.12127 https://arxiv.org/pdf/…

Algebras, Entanglement Islands, and Observers
Some recent work has postulated the existence of an "observer" for a consistent definition of subregion algebras in gravitational universes. The subregion algebras consist of operators dressed to this "observer" and are typically Type II von Neumann algebras. Nevertheless, as opposed to standard physical systems, such an "observer" was postulated to have a Hamiltonian $\hat{H}_{\text{obs}}$ linear in phase space variable. This linear form suggests that the complete dynamics of such an "observer…

Replaced article(s) found for math.FA. https://arxiv.org/list/math.FA/new
[1/1]:
- Novel constants based on the generalization of Von Neumann-Jordan constant
Yuxin Wang, Qi Liu, Qian Li, Qichuan Ni, Zhijian Yang, Muhammad Sarfraz, Yongjin Li

The atoms of graph product von Neumann algebras
Ian Charlesworth, David Jekel
https://arxiv.org/abs/2506.09000 https://arxiv.org/pdf/…

The atoms of graph product von Neumann algebras
We completely classify the atomic summands in a graph product $(M,φ) = *_{v \in \mathcal{G}} (M_v,φ_v)$ of von Neumann algebras with faithful normal states. Each type I factor summand $(N,ψ)$ is a tensor product of type I factor summands $(N_v,ψ_v)$ in the individual algebras. The existence of such a summand and its weight in the direct sum can be determined from the $(N_v,ψ_v)$'s using explicit polynomials associated to the graph.

Rigidity for graph product von Neumann algebras
Camille Horbez, Adrian Ioana
https://arxiv.org/abs/2508.03662 https://arxiv.org/pdf/2508.03662

Rigidity for graph product von Neumann algebras
We establish rigidity theorems for graph product von Neumann algebras $M_Γ=*_{v,Γ}M_v$ associated to finite simple graphs $Γ$ and families of tracial von Neumann algebras $(M_v)_{v\inΓ}$. We consider the following three broad classes of vertex algebras: diffuse, diffuse amenable, and II$_1$ factors. In each of these three regimes, we exhibit a large class of graphs $Γ,Λ$ for which the following holds: any isomorphism $θ$ between $M_Γ$ and $N_Λ$ ensures the existence of a graph isomorph…

Non-commutative Intermediate Factor theorem associated with $W^*$-dynamics of product groups
Tattwamasi Amrutam, Yongle Jiang, Shuoxing Zhou
https://arxiv.org/abs/2508.18978 htt…

Non-commutative Intermediate Factor theorem associated with $W^*$-dynamics of product groups
Let $G = G_{1} \times G_{2}$ be a product of two locally compact, second countable groups and $μ\in \mathrm{Prob}(G)$ be of the form $μ= μ_{1} \times μ_{2}$, where $μ_{i} \in \mathrm{Prob}(G_{i})$. Let $(B,ν_B)$ be the associated Poisson boundary. We show that every intermediate $G$-von Neumann algebra $\mathcal{M}$ with \[ \mathcal{N} \subseteq \mathcal{M} \subseteq \mathcal{N} \,\bar{\otimes}\, L^{\infty}(B,ν) \] splits as a tensor product of the form $\mathcal{N}\bar{\otimes}L^{\infty…

Entanglement production in the Sachdev-Ye-Kitaev Model and its variants
Tanay Pathak, Masaki Tezuka
https://arxiv.org/abs/2507.10892 https://

Entanglement production in the Sachdev-Ye-Kitaev Model and its variants
Understanding how quantum chaotic systems generate entanglement can provide insight into their microscopic chaotic dynamics and can help distinguish between different classes of chaotic behavior. Using von Neumann entanglement entropy, we study a nonentangled state evolved under three variants of the Sachdev-Ye-Kitaev (SYK) model with a finite number of Majorana fermions $N$. All the variants exhibit linear entanglement growth at early times, which at late times saturates to a universal value c…

NeuroPDE: A Neuromorphic PDE Solver Based on Spintronic and Ferroelectric Devices
Siqing Fu, Lizhou Wu, Tiejun Li, Chunyuan Zhang, Sheng Ma, Jianmin Zhang, Yuhan Tang, Jixuan Tang
https://arxiv.org/abs/2507.04677

NeuroPDE: A Neuromorphic PDE Solver Based on Spintronic and Ferroelectric Devices
In recent years, new methods for solving partial differential equations (PDEs) such as Monte Carlo random walk methods have gained considerable attention. However, due to the lack of hardware-intrinsic randomness in the conventional von Neumann architecture, the performance of PDE solvers is limited. In this paper, we introduce NeuroPDE, a hardware design for neuromorphic PDE solvers that utilizes emerging spintronic and ferroelectric devices. NeuroPDE incorporates spin neurons that are capable…

Jensen's inequality for partial traces in von Neumann algebras
Mizanur Rahaman, Lyudmila Turowska
https://arxiv.org/abs/2507.02422 https://

Jensen's inequality for partial traces in von Neumann algebras
Motivated by a recent result on finite-dimensional Hilbert spaces, we prove a Jensen's inequality for partial traces in semifinite von Neumann algebras. We also prove a similar inequality in the framework of general (non-tracial) von Neumann algebras.

Weak relative Dixmier property and Popa's intertwining technique for type III subfactors
Yusuke Isono
https://arxiv.org/abs/2508.17592 https://arxiv.or…

Weak relative Dixmier property and Popa's intertwining technique for type III subfactors
Let \( A \subset M \) be an inclusion of von Neumann algebras equipped with a faithful normal semifinite operator valued weight \( E \colon M \to A \). We prove that every positive element \( x \in M \) with \( E(x) < \infty \) satisfies the weak Dixmier property relative to \( A \): the \( σ\)-weak closure of the convex hull of its unitary orbit under \( \mathcal{U}(A) \) intersects the relative commutant \( A' \cap M \). This extends Marrakchi's result for the case of conditional expectation…

Efficient Quantum Information-Inspired Ansatz for Variational Quantum Eigensolver Algorithm: Applications to Atomic Systems
Abdul Kalam, Prasenjit Deb, Akitada Sakurai, B. K. Sahoo, V. S. Prasannaa, B. P. Das
https://arxiv.org/abs/2508.10593

Efficient Quantum Information-Inspired Ansatz for Variational Quantum Eigensolver Algorithm: Applications to Atomic Systems
We present a quantum information-inspired ansatz for the variational quantum eigensolver (VQE) and demonstrate its efficacy in calculating ground-state energies of atomic systems. Instead of adopting a heuristic approach, we start with an approximate multi-qubit target state and utilize two quantum information-theoretic quantities, i.e., von Neumann entropy and quantum mutual information, to construct our ansatz. The quantum information encoded in the target state helps us to design unique bloc…

An extension of Haagerup's reduction theorem with applications to subdiagonal subalgebras of general von Neumann algebras
Louis Labuschagne, Quanhua Xu
https://arxiv.org/abs/2506.06674

An extension of Haagerup's reduction theorem with applications to subdiagonal subalgebras of general von Neumann algebras
We revisit Haagerup's enigmatic reduction theorem \cite[Theorems 2.1 \& 3.1]{HJX} showing how that theorem may be extended to general von Neumann algebras $\M$ equipped with an arbitrary faithful normal semifinite weight in a manner which faithfully captures the essence of the original. In contrast to the proposal in \cite[Remark 2.8]{HJX}, we show how in the non-$σ$-finite case the enlargement $\R=\M\rtimes\mathbb{Q}_D$ of $\M$ may be approximated by an increasing \emph{sequence} of \emph{exp…

A study of weak$^*$-weak points of continuity in the unit ball of dual spaces
S. Daptari, V. Montesinos, T. S. S. R. K. Rao
https://arxiv.org/abs/2506.08458

A study of weak$^*$-weak points of continuity in the unit ball of dual spaces
We study classes of Banach spaces where the points of weak$^*$-weak continuity for the identity mapping on the dual unit ball form a weak$^*$-dense and weak$^*$-$G_δ$ set. We also discuss how this property behaves in higher duals of Banach spaces. We prove in particular that if $\mathcal{A}$ is a von Neumann algebra and its predual has the Radon--Nikodým property, then there is no point of weak$^*$-weak continuity on the unit ball of $\mathcal{A}$.

Unicorn-CIM: Unconvering the Vulnerability and Improving the Resilience of High-Precision Compute-in-Memory
Qiufeng Li, Yiwen Liang, Weidong Cao
https://arxiv.org/abs/2506.02311

Unicorn-CIM: Unconvering the Vulnerability and Improving the Resilience of High-Precision Compute-in-Memory
Compute-in-memory (CIM) architecture has been widely explored to address the von Neumann bottleneck in accelerating deep neural networks (DNNs). However, its reliability remains largely understudied, particularly in the emerging domain of floating-point (FP) CIM, which is crucial for speeding up high-precision inference and on device training. This paper introduces Unicorn-CIM, a framework to uncover the vulnerability and improve the resilience of high-precision CIM, built on static r…

Volume as an index of a subalgebra
Samuel Leutheusser, Hong Liu
https://arxiv.org/abs/2508.00056 https://arxiv.org/pdf/2508.00056

Volume as an index of a subalgebra
We propose a new way to understand the volume of certain subregions in the bulk of AdS spacetime by relating it to an algebraic quantity known as the index of inclusion. This index heuristically measures the relative size of a subalgebra $\mathcal{N}$ embedded within a larger algebra $\mathcal{M}$. According to subregion-subalgebra duality, bulk subregions are described by von Neumann algebras on the boundary. When a causally complete bulk subregion corresponds to the relative commutant $\mathc…

Transportation cost and contraction coefficient for channels on von Neumann algebras
Roy Araiza, Marius Junge, Peixue Wu
https://arxiv.org/abs/2506.04197 h…

Transportation cost and contraction coefficient for channels on von Neumann algebras
We present a noncommutative optimal transport framework for quantum channels acting on von Neumann algebras. Our central object is the Lipschitz cost measure, a transportation-inspired quantity that evaluates the minimal cost required to move between quantum states via a given channel. Accompanying this is the Lipschitz contraction coefficient, which captures how much the channel contracts the Wasserstein-type distance between states. We establish foundational properties of these quantities, in…

Inclusions of Standard Subspaces
Ricardo Correa da Silva, Gandalf Lechner
https://arxiv.org/abs/2506.16085 https://arxiv.org/pdf/2506…

Inclusions of Standard Subspaces
Standard subspaces are closed real subspaces of a complex Hilbert space that appear naturally in Tomita-Takesaki modular theory and its applications to quantum field theory. In this article, inclusions of standard subspaces are studied independently of von Neumann algebras. Several new methods for their investigation are developed, related to polarizers, Gelfand triples defined by modular data, and extensions of modular operators. A particular class of examples that arises from the fundamental …

ReTern: Exploiting Natural Redundancy and Sign Transformations for Enhanced Fault Tolerance in Compute-in-Memory based Ternary LLMs
Akul Malhotra, Sumeet Kumar Gupta
https://arxiv.org/abs/2506.01140

ReTern: Exploiting Natural Redundancy and Sign Transformations for Enhanced Fault Tolerance in Compute-in-Memory based Ternary LLMs
Ternary large language models (LLMs), which utilize ternary precision weights and 8-bit activations, have demonstrated competitive performance while significantly reducing the high computational and memory requirements of full-precision LLMs. The energy efficiency and performance of Ternary LLMs can be further improved by deploying them on ternary computing-in-memory (TCiM) accelerators, thereby alleviating the von-Neumann bottleneck. However, TCiM accelerators are prone to memory stuck-at faul…

This https://arxiv.org/abs/2304.05500 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Rigidity for von Neumann algebras of graph product groups II. Superrigidity results
In \cite{CDD22} we investigated the structure of $\ast$-isomorphisms between von Neumann algebras $L(Γ)$ associated with graph product groups $Γ$ of flower-shaped graphs and property (T) wreath-like product vertex groups as in \cite{CIOS21}. In this follow-up we continue the structural study of these algebras by establishing that these graph product groups $Γ$ are entirely recognizable from the category of all von Neumann algebras arising from an arbitrary non-trivial graph product group wit…

This https://arxiv.org/abs/2209.12996 has been replaced.
link: https://scholar.google.com/scholar?q=a

Rigidity for von Neumann algebras of graph product groups. I. Structure of automorphisms
In this paper we study various rigidity aspects of the von Neumann algebra $L(Γ)$ where $Γ$ is a graph product group \cite{Gr90} whose underlying graph is a certain cycle of cliques and the vertex groups are the wreath-like product property (T) groups introduced recently in \cite{CIOS21}. Using an approach that combines methods from Popa's deformation/rigidity theory with new techniques pertaining to graph product algebras, we describe all symmetries of these von Neumann algebras and reduced …

Revisiting the operator extension of strong subadditivity
Lauritz van Luijk, Alexander Stottmeister, Henrik Wilming
https://arxiv.org/abs/2508.03731 https://

Revisiting the operator extension of strong subadditivity
We give a new proof of the operator extension of the strong subadditivity of von Neumann entropy $ρ_{AB} \otimes σ_{C}^{-1} \leq ρ_{A} \otimes σ_{BC}^{-1}$ by identifying the mathematical structure behind it as Connes' theory of spatial derivatives. This immediately generalizes the inequality to arbitrary inclusions of von Neumann algebras. In the case of standard representations, it reduces to the monotonicity of the relative modular operator.

W*-correlations of II$_1$ factors and rigidity of tensor products and graph products
Daniel Drimbe, Stefaan Vaes
https://arxiv.org/abs/2507.04691 https://

W*-correlations of II$_1$ factors and rigidity of tensor products and graph products
A variant of Gromov's notion of measure equivalence for groups has been introduced for II$_1$ factors under different names. We propose the terminology of W*-correlated II$_1$ factors. We prove rigidity results up to W*-correlations for tensor products and graph products of II$_1$ factors. As a consequence, we construct the first uncountable family of discrete groups $Γ$ that are not von Neumann equivalent, which means that their group von Neumann algebras $L(Γ)$ are not W*-correlated, and wh…

Rank metric isometries and determinant-preserving mappings on II$_1$-factors
Jinghao Huang, Karimbergen Kudaybergenov, Fedor Sukochev
https://arxiv.org/abs/2506.11428

Rank metric isometries and determinant-preserving mappings on II$_1$-factors
We fully describe the general form of a linear (or conjugate-linear) rank metric isometry on the Murray--von Neumann algebra associated with a II$_1$-factor. As an application, we establish Frobenius' theorem in the setting of II$_1$-factors, by showing that every determinant-preserving linear bijection between two II$_1$-factors is necessarily an isomorphism or an anti-isomorphism. This confirms the Harris--Kadison conjecture (1996).

Weak* decomposition and Radon-Nikodym theorem for quantum expectations
Fouad Naderi
https://arxiv.org/abs/2506.12018 https://arxiv.or…

Weak* decomposition and Radon-Nikodym theorem for quantum expectations
A quantum expectation is a positive linear functional of norm one on a non-commutative probability space (i.e., a C*-algebra). For a given pair of quantum expectations $μ$ and $λ$ on a non-commutative probability space $A$, we propose a definition for weak* continuity and weak* singularity of $μ$ with respect to $λ$. Then, using the theory of von Neumann algebras, we obtain the natural weak* continuous and weak* singular parts of $μ$ with respect to $λ$. If $λ$ satisfies a weak tracial p…

Bilinear maps having Jordan product property
Jorge J. Garc\'es, Mykola Khrypchenko
https://arxiv.org/abs/2508.09052 https://arxiv.org/pdf/2508.09052

Bilinear maps having Jordan product property
We study symmetric continuous bilinear maps $V$ on a C$^*$-algebra $A$ that have the Jordan product property at a fixed element $z\in A$. We show that, whenever $A$ is a finite direct sum or a $c_0$-sum of infinite simple von Neumann algebras, such a map $V$ has the square-zero property. Then, it is proved that $V(a,b)=T(a\circ b)$ for some bounded linear map $T$ on $A$. As a consequence, Jordan homomorphisms and derivations at $z\in A$ are characterized.

Noncommutative ergodic theorems for action of semisimple Lie groups
Guixiang hong, Samya Kumar Ray
https://arxiv.org/abs/2508.07444 https://arxiv.org/pdf/2…

Noncommutative ergodic theorems for action of semisimple Lie groups
Let $G$ be a connected simple Lie group of real rank one and finite center, and let $K$ be a maximal compact subgroup. We study the families of spherical, ball, and uniform averages $(σ_t)_{t>0}$, $(β_t)_{t>0}$, and $(μ_t)_{t>0}$ on $G$ induced by the canonical $G$-invariant metric on $G/K$, in the setting where $G$ acts by trace-preserving $*$-automorphisms on a finite von Neumann algebra $(\mathcal M,τ)$. For the associated noncommutative $L_p$-spaces $L_p(\mathcal M)$, we consider both l…

The unitary group of a $\mathrm{II}_1$ factor is SOT-contractible
David Jekel
https://arxiv.org/abs/2508.05834 https://arxiv.org/pdf/2508.05834

The unitary group of a $\mathrm{II}_1$ factor is SOT-contractible
We show that the unitary group of any SOT-separable $\mathrm{II}_1$ factor $M$, with the strong operator topology, is contractible. Combined with several old results, this implies that the same is true for any SOT-separable von Neumann algebra with no type $\mathrm{I}_n$ direct summands ($n < \infty$). The proof for the $\mathrm{II}_1$-factor case uses regularization via free convolution and Popa's theorem on the existence of approximately free Haar unitaries in $\mathrm{II}_1$ factors.

This https://arxiv.org/abs/2410.17407 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Morita theory for dynamical von Neumann algebras
Given a locally compact quantum group $\mathbb{G}$ and two $\mathbb{G}$-$W^*$-algebras $α: A\curvearrowleft \mathbb{G}$ and $β: B\curvearrowleft \mathbb{G}$, we study the notion of equivariant $W^*$-Morita equivalence $(A, α)\sim_{\mathbb{G}} (B, β)$, which is an equivariant version of Rieffel's notion of $W^*$-Morita equivalence. We prove that important dynamical properties of $\mathbb{G}$-$W^*$-algebras, such as (inner) amenability, are preserved under equivariant Morita equivalence. For …