Tootfinder

Temperature-induced measurement sensitivity enhancement via imaginary weak values
Lorena Ballesteros Ferraz, Alexandre Matzkin, Alok Kumar Pan
https://arxiv.org/abs/2509.04048 h…

Temperature-induced measurement sensitivity enhancement via imaginary weak values
We investigate the potential of weak measurement and post-selection to enhance measurement sensitivity when the initial probe state is mixed. In our framework, the mixedness of the probe's density operator is controlled by temperature. We focus on two key quantities: the signal-to-noise ratio and the quantum Fisher information of the final probe state, evaluated after post-selection is applied on the system. Our analysis employs a rigorous, all-order coupling treatment of measurement, demonstra…

PARSEC V2.0: Rotating tracks and isochrones for seven addtional metallicities in the range Z=0.0001-0.03
C. T. Nguyen, G. Costa, A. Bressan, L. Girardi, G. Cescutti, A. J. Korn, G. Volpato, Y. Chen, G. Pastorelli, M. Trabucchi, K. G. Shepherd, G. Ettorre, S. Zaggia
https://arxiv.org/abs/2508.02393 …

PARSEC V2.0: Rotating tracks and isochrones for seven addtional metallicities in the range Z=0.0001-0.03
PARSEC v2.0 rotating stellar tracks were previously presented for six values of metallicity from subsolar to solar values, with initial rotation rates ($ω_\mathrm{i}$, defined as the ratio of angular velocity and its critical value) spanning from the non-rotating case to very near the critical velocity (i.e. $ω_\mathrm{i}=0.99$), and for initial masses covering the $\sim 0.7 M_\odot$ to $14 M_\odot$ interval. Furthermore, we provided the corresponding isochrones converted into several photome…

Transition to the buoyancy dominated regime in a planar temporal forced plume
G. Boga, A. Cimarelli, M. Crialesi Esposito, S. Musacchio, E. Stalio, G. Boffetta
https://arxiv.org/abs/2508.02234

Transition to the buoyancy dominated regime in a planar temporal forced plume
We study the transition from momentum- to buoyancy-dominated regime in temporal jets forced by gravity. From the conservation of the thermal content and of the volume flux, we develop a simple model which is able to describe accurately the transition between the two regimes in terms of a single parameter representing the entrainment coefficient. Our analytical results are validated against a set of numerical simulations of temporal planar forced plumes at different initial values of Reynolds an…

Intermediate-temperature topological Uhlmann phase on IBM quantum computers
Christopher Mastandrea, Costin Iancu, Hao Guo, Chih-Chun Chien
https://arxiv.org/abs/2508.02915 https…

Intermediate-temperature topological Uhlmann phase on IBM quantum computers
A spin-1 system can exhibit an intermediate-temperature topological regime with a quantized Uhlmann phase sandwiched by topologically trivial low- and high-temperature regimes. We present a quantum circuit consisting of system and ancilla qubits plus a probe qubit which prepares an initial state corresponding to the purified state of a spin-1 system at finite temperature, evolves the system according to the Uhlmann process, and measures the Uhlmann phase via expectation values of the probe qubi…

Playstyle and Artificial Intelligence: An Initial Blueprint Through the Lens of Video Games
Chiu-Chou Lin
https://arxiv.org/abs/2508.19152 https://arxiv.or…

Playstyle and Artificial Intelligence: An Initial Blueprint Through the Lens of Video Games
Contemporary artificial intelligence (AI) development largely centers on rational decision-making, valued for its measurability and suitability for objective evaluation. Yet in real-world contexts, an intelligent agent's decisions are shaped not only by logic but also by deeper influences such as beliefs, values, and preferences. The diversity of human decision-making styles emerges from these differences, highlighting that "style" is an essential but often overlooked dimension of intelligence.…

A new global solvability criterion for matrix Riccati equations
G. A. Grigorian
https://arxiv.org/abs/2509.01207 https://arxiv.org/pdf/2509.01207

A new global solvability criterion for matrix Riccati equations
We use a new approach with a matrix transformation to obtain a new global solvability criterion for matrix Riccati equations. The proven theorem completes an well known result in directions of extension of classes of coefficient of equations and of extension of initial values,under which the solutions of equations are continuable to $\infty$.

Quantitative evaluations of stability and convergence for solutions of semilinear Klein--Gordon equation
Takuya Tsuchiya, Makoto Nakamura
https://arxiv.org/abs/2508.21659 https:…

Quantitative evaluations of stability and convergence for solutions of semilinear Klein--Gordon equation
We perform some simulations of the semilinear Klein--Gordon equation with a power-law nonlinear term and propose each of the quantitative evaluation methods for the stability and convergence of numerical solutions. We also investigate each of the thresholds in the methods by varying the amplitude of the initial value and the mass, and propose appropriate values.

On the $h$-majority dynamics with many opinions
Francesco d'Amore, Niccol\`o D'Archivio, George Giakkoupis, Emanuele Natale
https://arxiv.org/abs/2506.20218

On the $h$-majority dynamics with many opinions
We present the first upper bound on the convergence time to consensus of the well-known $h$-majority dynamics with $k$ opinions, in the synchronous setting, for $h$ and $k$ that are both non-constant values. We suppose that, at the beginning of the process, there is some initial additive bias towards some plurality opinion, that is, there is an opinion that is supported by $x$ nodes while any other opinion is supported by strictly fewer nodes. We prove that, with high probability, if the bi…

Dark photon dark matter from flattened axion potentials
Hong-Yi Zhang, Paola Arias, Andrew Cheek, Enrico D. Schiappacasse, Luca Visinelli, Leszek Roszkowski
https://arxiv.org/abs/2507.20484

Dark photon dark matter from flattened axion potentials
Dark photons can be resonantly produced in the early universe via their coupling to an oscillating axion field. However, this mechanism typically requires large axion-dark photon couplings or some degree of fine-tuning. In this work, we present a new scenario in which efficient dark photon production arises from axion potentials that are shallower than quadratic at large field values. For moderately large initial misalignment angles, the oscillation of the axion field can trigger either efficie…

The Complexity of Thermalization in Finite Quantum Systems
Dhruv Devulapalli, T. C. Mooney, James D. Watson
https://arxiv.org/abs/2507.00405 https://

The Complexity of Thermalization in Finite Quantum Systems
Thermalization is the process through which a physical system evolves toward a state of thermal equilibrium. Determining whether or not a physical system will thermalize from an initial state has been a key question in condensed matter physics. Closely related questions are determining whether observables in these systems relax to stationary values, and what those values are. Using tools from computational complexity theory, we demonstrate that given a Hamiltonian on a finite-sized system, dete…

Comprehensive Statistical Analysis of Initial Lorentz Factor and Jet Opening Angle of Gamma-Ray Bursts
Jian Zhang, Bao-Cheng Qin, Lu-Lu Zhang, Fu-Wen Zhang
https://arxiv.org/abs/2508.13448

Comprehensive Statistical Analysis of Initial Lorentz Factor and Jet Opening Angle of Gamma-Ray Bursts
The initial Lorentz factor ($Γ_{0}$) and jet half-opening angle ($θ_{\rm jet}$) of gamma-ray bursts (GRBs) are critical physical parameters for understanding the dynamical evolution of relativistic jets and the true energy release of GRBs. We compile a sample of 89 GRBs that exhibit an onset bump feature in their early optical or GeV light curves, 42 of which also display a jet break feature, and derive their $Γ_{0}$ and $θ_{\rm jet}$ values. Using this sample, we re-eaxmine the correlation…

Global regularity of Leray-Hopf weak solutions to 3D Navier-Stokes equations
Myong-Hwan Ri
https://arxiv.org/abs/2508.19590 https://arxiv.org/pdf/2508.1959…

Global regularity of Leray-Hopf weak solutions to 3D Navier-Stokes equations
We show that any Leray-Hopf weak solution to 3D Navier-Stokes equations with initial values u0 2 H1=2(R3) belong to L1(0; 1; H1=2(R3)) and thus it is regular. For the proof, flrst, we construct a supercritical space, the norm of which is compared to the homogeneous Sobolev H_ 1=2-norm in that it has inverse logarithmic weight very sparsely in the frequency domain. Then we obtain the energy estimates of high frequency parts of the solution which involve the supercritical norm on the right-hand s…

This https://arxiv.org/abs/2505.11864 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csLG_…

Learning Pareto-Optimal Rewards from Noisy Preferences: A Framework for Multi-Objective Inverse Reinforcement Learning
As generative agents become increasingly capable, alignment of their behavior with complex human values remains a fundamental challenge. Existing approaches often simplify human intent through reduction to a scalar reward, overlooking the multi-faceted nature of human feedback. In this work, we introduce a theoretical framework for preference-based Multi-Objective Inverse Reinforcement Learning (MO-IRL), where human preferences are modeled as latent vector-valued reward functions. We formalize …

This https://arxiv.org/abs/2506.01495 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCL_…

CVC: A Large-Scale Chinese Value Rule Corpus for Value Alignment of Large Language Models
Ensuring that Large Language Models (LLMs) align with mainstream human values and ethical norms is crucial for the safe and sustainable development of AI. Current value evaluation and alignment are constrained by Western cultural bias and incomplete domestic frameworks reliant on non-native rules; furthermore, the lack of scalable, rule-driven scenario generation methods makes evaluations costly and inadequate across diverse cultural contexts. To address these challenges, we propose a hierarchi…

This https://arxiv.org/abs/2409.03788 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCR_…

HSF: Defending against Jailbreak Attacks with Hidden State Filtering
With the growing deployment of LLMs in daily applications like chatbots and content generation, efforts to ensure outputs align with human values and avoid harmful content have intensified. However, increasingly sophisticated jailbreak attacks threaten this alignment, aiming to induce unsafe outputs. Current defense efforts either focus on prompt rewriting or detection, which are limited in effectiveness due to the various design of jailbreak prompts, or on output control and detection, which a…

This https://arxiv.org/abs/2411.17877 has been replaced.
initial toot: https://mastoxiv.page/@…

Chiral eigenbases of the XX and XY quantum spin chains
We calculate the values of observables in chiral eigenstates of the XX quantum spin chain that were introduced in previous work and compare the form of the result with the respective expressions obtained in the more familiar eigenbasis of states with fixed magnetization in the $z$ direction. We carry out the diagonalization of the XY spin chain in the chiral basis. We calculate the norm of the chiral XY eigenstates, and the values of the one-point functions and some neighbor two-point correlati…

This https://arxiv.org/abs/2407.14624 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Waring Numbers of Ramified $p$-adic Rings
Let $p$ be prime and $e,k$ be positive integers, and let $R = {\mathbb Z}_p[\sqrt[e]{p}]$. We calculate the Waring numbers $g_R(k)$ for many values of $p, e$, and $k$, and investigate how the Waring numbers for $p=2$ change as $e$ and $k$ vary.

This https://arxiv.org/abs/2503.12661 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Extendability of general $K3$ surfaces without Gaussian maps and classification of non-prime Fano threefolds
In arXiv:2409.03960, we introduced an approach to the question of extendability of projective varieties via degeneration to ribbons. In this article we build on these methods to give a new proof of optimal results on the extendability of general non-prime $K3$ surfaces, classification of non-prime Fano threefolds and Mukai varieties and the irreducibility of their Hilbert schemes. The methods in this article also show the non-extendability of prime $K3$ surfaces for infinitely many values of $g…

This https://arxiv.org/abs/2505.15258 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the distances of an element to its conjugates
For a valued field $(K,v)$, with a fixed extension of $v$ to the algebraic closure $\overline K$ of $K$, and an element $θ\in\overline K$, we are interested in the possible values of $θ-θ'$ where $θ'$ runs through all the $K$-conjugates of $θ$. The study of these values is a classic problem in number theory and ramification theory. However, the classic results focus on tame, and in particular defectless, extensions. In this paper we focus on the study of defect extensions. We want to compa…

This https://arxiv.org/abs/2412.09211 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

DeWitt wave functions for de Sitter JT gravity
Jackiw-Teitelboim (JT) gravity in two-dimensional de Sitter space is an intriguing model for cosmological "wave functions of the universe". Its minisuperspace version already contains all physical information. The size of compact slices is parametrized by a scale factor $h > 0$. The dilaton $ϕ$ is chosen to have positive values, $ϕ> 0$, and interpreted as size of an additional compact slice in a higher-dimensional theory. At the boundaries $h=0$, $ϕ=0$, where the volume of the universe vanis…

This https://arxiv.org/abs/2504.14730 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csIT_…

Optimizing Noise Distributions for Differential Privacy
We propose a unified optimization framework for designing continuous and discrete noise distributions that ensure differential privacy (DP) by minimizing Rényi DP, a variant of DP, under a cost constraint. Rényi DP has the advantage that by considering different values of the Rényi parameter $α$, we can tailor our optimization for any number of compositions. To solve the optimization problem, we reduce it to a finite-dimensional convex formulation and perform preconditioned gradient descent…

This https://arxiv.org/abs/2504.05307 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csIR_…

Toward Total Recall: Enhancing FAIRness through AI-Driven Metadata Standardization
Scientific metadata often suffer from incompleteness, inconsistency, and formatting errors, which hinder effective discovery and reuse of the associated datasets. We present a method that combines GPT-4 with structured metadata templates from the CEDAR knowledge base to automatically standardize metadata and to ensure compliance with established standards. A CEDAR template specifies the expected fields of a metadata submission and their permissible values. Our standardization process involves u…

Amplitude maximization in stable systems, Schur positivity, and some conjectures on polynomial interpolation
Dmitrii M. Ostrovskii, Pavel S. Shcherbakov
https://arxiv.org/abs/2508.13554

Amplitude maximization in stable systems, Schur positivity, and some conjectures on polynomial interpolation
For $r > 0$ and integers $t \ge n > 0$, we consider the following ``amplitude maximization'' problem: maximize the quantity $|x_t|$ over the set of complex solutions $x = (x_0, x_1, \dots)$ of all homogeneous linear difference equations of order $n$ with the roots of characteristic polynomial in the disc $\{z \in \mathbb{C}: |z| \le r\}$, and with initial values $x_0, \dots, x_{n-1}$ in the unit disc. We find that for any $t,n,r$, the maximum is attained in the case of coinc…

Reservoir computing with large valid prediction time for the Lorenz system
Lauren A Hurley, Sean E Shaheen
https://arxiv.org/abs/2508.06730 https://arxiv.o…

Reservoir computing with large valid prediction time for the Lorenz system
We study the dependence of the Valid Prediction Time (VPT) of Reservoir Computers (RCs) on hyperparameters including the regularization coefficient, reservoir size, and spectral radius. Under carefully chosen conditions, the RC can achieve approximately 70% of a benchmark performance, based on the output of a single prediction step used as initial conditions for the Lorenz equations. We report high VPT values (>30 Lyapunov times), as we are predicting a noiseless system where overfitting can be…

Generalization of Gaussian third-order Jacobsthal numbers and their new families
Gamaliel Morales
https://arxiv.org/abs/2508.11650 https://arxiv.org/pdf/25…

Generalization of Gaussian third-order Jacobsthal numbers and their new families
In this study, we introduce the generalized Gaussian third-order Jacobsthal numbers with arbitrary initial values and discuss two particular cases, namely, Gaussian third-order Jacobsthal and Gaussian modified third-order Jacobsthal numbers. In this paper we discuss several of its algebraic properties such as Binet's formula, partial sum, generating function, negative subscript elements, d'Ocagne's and Cassini's identities. Furthermore, we study and introduce a new generalization of this sequen…

This https://arxiv.org/abs/2506.01306 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Asymptotic of Coulomb gas integral, Temperley-Lieb type algebras and pure partition functions
In this supplementary note, we study the asymptotic behavior of several types of Coulomb gas integrals and construct the pure partition functions for multiple radial $\mathrm{SLE}(κ)$ and general multiple chordal $\mathrm{SLE}(κ)$ systems. For both radial and chordal cases, we prove the linear independence of the ground state solutions $J_α^{(m,n)}(\boldsymbol{x})$ to the null vector equations for irrational values of $κ\in (0,8)$. In particular, we show that the ground state solutions …

This https://arxiv.org/abs/2506.01790 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csLG_…

$IF-GUIDE$: Influence Function-Guided Detoxification of LLMs
We study how training data contributes to the emergence of toxic behaviors in large-language models. Most prior work on reducing model toxicity adopts $reactive$ approaches, such as fine-tuning pre-trained (and potentially toxic) models to align them with human values. In contrast, we propose a $proactive$ approach$-$IF-Guide$-$which leverages influence functions to identify harmful tokens within any training data and suppress their impact during training. To this end, we first show that standa…

A Parareal Algorithm with Spectral Coarse Solver
Martin J. Gander, Mario Ohlberger, Stephan Rave
https://arxiv.org/abs/2508.08873 https://arxiv.org/pdf/250…

A Parareal Algorithm with Spectral Coarse Solver
We consider a new class of Parareal algorithms, which use ideas from localized reduced basis methods to construct the coarse solver from spectral approximations of the transfer operators mapping initial values for a given time interval to the solution at the end of the interval. By leveraging randomized singular value decompositions, these spectral approximations are obtained embarrassingly parallel by computing local fine solutions for random initial values. We show a priori and a posteriori e…

Analytic estimation of parameters of stochastic volatility diffusion models with exponential-affine characteristic function for currency option pricing
Miko{\l}aj {\L}ab\k{e}dzki
https://arxiv.org/abs/2507.11868

Analytic estimation of parameters of stochastic volatility diffusion models with exponential-affine characteristic function for currency option pricing
This dissertation develops and justifies a novel method for deriving approximate formulas to estimate two parameters in stochastic volatility diffusion models with exponentially-affine characteristic functions and single- or two-factor variance. These formulas aim to improve the accuracy of option pricing and enhance the calibration process by providing reliable initial values for local minimization algorithms. The parameters relate to the volatility of the stochastic factor in instantaneous va…

This https://arxiv.org/abs/2412.04574 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Gradient flows of $(K,N)$-convex functions with negative $N$
We discuss $(K,N)$-convexity and gradient flows for $(K,N)$-convex functionals on metric spaces, in the case of real $K$ and negative $N$. In this generality, it is necessary to consider functionals unbounded from below and/or above, possibly attaining as values both the positive and the negative infinity. We prove several properties of gradient flows of $(K,N)$-convex functionals characterized by Evolution Variational Inequalities, including contractivity, regularity, and uniqueness.

This https://arxiv.org/abs/2409.16613 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_sta…

Oral exams in introductory statistics class with non-native English speakers
Oral exams are a powerful tool to assess student's learning. This is particularly important in introductory statistics classes where students struggle to grasp various topics like the interpretation of probability, $p$-values and more. The challenge of acquiring conceptual understanding is only heightened when students are learning in a second language. In this paper, I share my experience administering oral exams to an introductory statistics class of non-native English speakers at a Japanese …

On a Generalized System with Applications to Ideal Magnetohydrodynamics
Alejandro Sarria
https://arxiv.org/abs/2507.14772 https://arx…

On a Generalized System with Applications to Ideal Magnetohydrodynamics
Finite-time blowup of solutions $(u(x,t),b(x,t))$ to a generalized system of equations with applications to ideal Magnetohydrodynamics (MHD) and one-dimensional fluid convection and stretching, among other areas, is investigated. The system is parameter-dependent, our spatial domain is the unit interval or the circle, and the initial data $(u_0(x),b_0(x))$ is assumed to be smooth. Among other results, we derive precise blowup criteria for specific values of the parameters by tracking the evolut…

The simplest chaos indicator derived from Lagrangian descriptors
Javier Jim\'enez-L\'opez, V\'ictor J. Garc\'ia-Garrido
https://arxiv.org/abs/2506.16660

The simplest chaos indicator derived from Lagrangian descriptors
In this paper we introduce the simplest chaos indicator derivable from Lagrangian Descriptors (LDs), defined as the difference in LD values between two neighboring trajectories. This difference LD is remarkably easy to implement and interpret, offering a direct and intuitive measure of dynamical behavior. We provide a heuristic argument linking its growth to the regularity or chaoticity of the underlying initial condition, considering both arclength-based and $p$-norm formulations of LDs. To ev…

Nonlinear Dynamics of Kink Configurations: From Small to Large Kink Collisions
Aliakbar Moradi Marjaneh, Dionisio Bazeia
https://arxiv.org/abs/2508.05812 https://

Nonlinear Dynamics of Kink Configurations: From Small to Large Kink Collisions
This study explores the scattering dynamics of kinks within a nonlinear system governed by a parameterized potential $U_λ(χ)$, examining the distinct behaviors of small and large kinks across a range of $λ$ values and initial velocities. For small kinks, we investigate the critical velocity for separation, the influence of vibrational modes, resonance phenomena, and the conditions under which large kinks emerge from collisions. Our findings reveal that the critical velocity exhibits a non-mo…

This https://arxiv.org/abs/2309.01815 has been replaced.
initial toot: https://mastoxiv.page/@…

Effective Hamiltonian approach to kinetic Ising models: Application to an infinitely long-range Husimi-Temperley model
The probability distribution (PD) of spin configurations in kinetic Ising models has been cast in the form of the canonical Boltzmann PD with a time-dependent effective Hamiltonian (EH). It has been argued that in systems with extensive energy EH depends linearly on the number of spins $N$ leading to the exponential dependence of PD on the system size. In macroscopic systems the argument of the exponential function may reach values of the order of the Avogadro number which is impossible to deal…

Neural networks with image recognition by pairs
Polad Geidarov
https://arxiv.org/abs/2506.06322 https://arxiv.org/pdf/2506.06322

Neural networks with image recognition by pairs
Neural networks based on metric recognition methods have a strictly determined architecture. Number of neurons, connections, as well as weights and thresholds values are calculated analytically, based on the initial conditions of tasks: number of recognizable classes, number of samples, metric expressions used. This paper discusses the possibility of transforming these networks in order to apply classical learning algorithms to them without using analytical expressions that calculate weight val…

Dependence of the recoherence times and recoherence increments on the state of phonon bath in a single qubit dephasing model
V. V. Ignatyuk, Ch. Samorodov
https://arxiv.org/abs/2508.11606

Dependence of the recoherence times and recoherence increments on the state of phonon bath in a single qubit dephasing model
The recoherence times $t^*$ and the maximum values of the recoherence increments $γ_{\rm extr}$ are studied as functions of the bath parameters for a single qubit dephasing model, prepared initially by a special kind of the non-selective measurements. The recoherence/decoherence events (RDE), occurring at the initial stage of the system evolution, are found to be both similar and different from the system dynamics at large times. For instance, in contrast to the RDE observed on large time scal…

This https://arxiv.org/abs/2505.08640 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Exact quantum noise deconvolution with partial knowledge of noise
We introduce a new quantum noise deconvolution technique that does not rely on the complete knowledge of noise and does not require partial noise tomography. In this new method, we construct a set of observables with completely correctable expectation values despite our incomplete knowledge of noise. This task is achieved just by classical post-processing without extra quantum resources. We show that the number of parameters in the subset of observables with correctable expectation values is th…

This https://arxiv.org/abs/2505.05850 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Resonances and continued-fraction Green's functions in non-Hermitian Bose-Hubbard-like quantum models
With resonances treated as eigenstates of a non-Hermitian quantum Hamiltonian, the task of localization of the complex energy eigenvalues is considered. The paper is devoted to the reduced version of this task in which one only computes the real quantities called singular values. It is shown that in such an approach (and under suitable constraints including the tridiagonality of the Hamiltdonian) the singular values can be sought as poles of an auxiliary Green's function expressible in terms of…

Extrapolation of quantum measurement data
Konstantinos Manos, Mirjam Weilenmann, Miguel Navascues
https://arxiv.org/abs/2507.06912 https://

Extrapolation of quantum measurement data
We consider the problem of predicting future expectation values of a collection of quantum observables, given their noisy expectation values at past times. The measured observables, the initial state of the physical system and even the Hilbert space are unknown; we nonetheless assume a promise on the energy distribution of the state. Investigating to what extent extrapolation is possible in this framework, we discover highly problematic datasets that allow full predictability at any future time…

This https://arxiv.org/abs/2505.09714 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Overcoming the entanglement barrier with sampled tensor networks
The rapid growth of entanglement under unitary time evolution is the primary bottleneck for modern tensor-network techniques--such as Matrix Product States (MPS)--when computing time-dependent expectation values. This {entanglement barrier} restricts classical simulations and, conversely, underpins the quantum advantage anticipated from future devices. Here we show that, for one-dimensional Hamiltonian dynamics, the spatio-temporal tensor network encoding the evolved wave function amplitudes ca…