Tootfinder

Wasserstein Distances on Quantum Structures: an Overview
Emily Beatty
https://arxiv.org/abs/2506.09794 https://arxiv.org/pdf/2506.097…

Wasserstein Distances on Quantum Structures: an Overview
The theory of optimal transport of probability measures has wide-ranging applications across a number of different fields, including concentration of measure, machine learning, Markov chains, and economics. The generalisation of optimal transport tools from probability measures to quantum states has shown great promise over the last few years, particularly in the development of the theory of Wasserstein-style distances and divergences between quantum states. Such distances have already led to a…

Visual metrics on boundaries of hyperbolic spaces
Emily Stark
https://arxiv.org/abs/2506.10108 https://arxiv.org/pdf/2506.10108

Visual metrics on boundaries of hyperbolic spaces
This is an expository article on visual metrics on boundaries of hyperbolic metric spaces. We discuss the construction of visual metrics, quasisymmetries and their invariants, Hausdorff and conformal dimension, and constructions and applications of Gromov's round trees. There is a focus on providing examples throughout. These notes are based on the material of a minicourse given by the author at the 2024 Riverside Workshop in Geometric Group Theory.

Classification of multiple segmented profiles, application to the study of the neuronal protein Tau
Vincent Brault, Emilie Lebarbier, Am\'elie Rosier, Virginie Stoppin-Mellet
https://arxiv.org/abs/2506.10126

Classification of multiple segmented profiles, application to the study of the neuronal protein Tau
This work is motivated by an application in neuroscience, in particular by the study of the (dys)functioning of a protein called Tau. The objective is to establish a classification of intensity profiles, according to the presence or absence of the protein and its monomer or dimer proportion. For this, we propose a Gaussian mixture model with a fixed number of clusters whose mean parameters are constrained and shared by the clusters. The inference of this model is done via the classical EM algor…

Constrained Pareto Set Identification with Bandit Feedback
Cyrille Kone, Emilie Kaufmann, Laura Richert
https://arxiv.org/abs/2506.08127 https://

Constrained Pareto Set Identification with Bandit Feedback
In this paper, we address the problem of identifying the Pareto Set under feasibility constraints in a multivariate bandit setting. Specifically, given a $K$-armed bandit with unknown means $μ_1, \dots, μ_K \in \mathbb{R}^d$, the goal is to identify the set of arms whose mean is not uniformly worse than that of another arm (i.e., not smaller for all objectives), while satisfying some known set of linear constraints, expressing, for example, some minimal performance on each objective. Our focu…

JWST Coronagraphic Images of 14 Her c: a Cold Giant Planet in a Dynamically Hot, Multi-planet System
Daniella C. Bardalez Gagliuffi, William O. Balmer, Laurent Pueyo, Timothy D. Brandt, Mark R. Giovinazzi, Sarah Millholland, Brennen Black, Tiger Lu, Malena Rice, James Mang, Caroline Morley, Brianna Lacy, Julien Girard, Elisabeth Matthews, Aarynn Carter, Brendan P. Bowler, Jacqueline K. Faherty, Clemence Fontanive, Emily Rickman

JWST Coronagraphic Images of 14 Her c: a Cold Giant Planet in a Dynamically Hot, Multi-planet System
Most observed multi-planet systems are coplanar, in a dynamically "cold" configuration of concentric orbits like our own Solar System. With the James Webb Space Telescope (JWST) we have detected 14 Her c, the first mature and cold exoplanet directly imaged in a dynamically "hot", multi-planet system. With large eccentricities and a nonzero mutual inclination, the present-day architecture of this system points to a turbulent past and ongoing angular momentum exchange between the planetary orbits…

Apparatus for the measurement of birefringence maps of optical materials: the case of crystalline silicon for Einstein Telescope
Alina Mariana Soflau, Federico Della Valle, Francesco Cescato, Giovanni Di Domenico, Aur\'elie Mailliet, Lorenzo Malagutti, Emilio Mariotti, Andrea Mazzolari, Marco Romagnoni, Guido Zavattini
https://

Apparatus for the measurement of birefringence maps of optical materials: the case of crystalline silicon for Einstein Telescope
Einstein Telescope (ET) is expected to achieve sensitivity improvements exceeding an order of magnitude compared to current gravitational-wave detectors. The rigorous characterization in optical birefringence of materials and coatings has become a critical task for next-generation detectors, especially since this birefringence is generally spatially non-uniform. A highly sensitive optical polarimeter has been developed at the Department of Physics and Earth Sciences of the University of Ferrara…

Real-time adaptive tracking of fluctuating relaxation rates in superconducting qubits
Fabrizio Berritta, Jacob Benestad, Jan A. Krzywda, Oswin Krause, Malthe A. Marciniak, Svend Kr{\o}jer, Christopher W. Warren, Emil Hogedal, Andreas Nylander, Irshad Ahmad, Amr Osman, Janka Bizn\'arov\'a, Marcus Rommel, Anita Fadavi Roudsari, Jonas Bylander, Giovanna Tancredi, Jeroen Danon, Jacob Hastrup, Ferdinand Kuemmeth, Morten Kjaergaard

Real-time adaptive tracking of fluctuating relaxation rates in superconducting qubits
The fidelity of operations on a solid-state quantum processor is ultimately bounded by decoherence effects induced by a fluctuating environment. Characterizing environmental fluctuations is challenging because the acquisition time of experimental protocols limits the precision with which the environment can be measured and may obscure the detailed structure of these fluctuations. Here we present a real-time Bayesian method for estimating the relaxation rate of a qubit, leveraging a classical co…

Trotter transition in BCS pairing dynamics
Aniket Patra, Emil A. Yuzbashyan, Boris L. Altshuler, Sergej Flach
https://arxiv.org/abs/2506.08657 https://

Trotter transition in BCS pairing dynamics
We Trotterize the mean-field dynamics of the integrable BCS model using symplectic integrators. The resulting chaotic dynamics is characterized by its Lyapunov spectrum and rescaled Kolmogorov-Sinai entropy. The chaos quantifiers depend on the Trotterization time step $τ$. We observe a Trotter transition at a finite step value $τ_c \approx \sqrt{N}$. While the dynamics is weakly chaotic for time steps $τ\ll τ_c$, the regime of large Trotterization steps is characterized by short temporal co…

Adaptive quantum dynamics with the time-dependent variational Monte Carlo method
Raffaele Salioni, Rocco Martinazzo, Davide Emilio Galli, Christian Apostoli
https://arxiv.org/abs/2506.08575

Adaptive quantum dynamics with the time-dependent variational Monte Carlo method
We introduce an extension of the time-dependent variational Monte Carlo (tVMC) method that adaptively controls the expressivity of the variational quantum state during the simulation. This adaptive tVMC approach addresses numerical instabilities that arise when the variational ansatz is overparameterized or contains redundant degrees of freedom. Building on the concept of the local-in-time error (LITE), a measure of the deviation between variational and exact evolution, we introduce a procedure…

Experimental memory control in continuous variable optical quantum reservoir computing
Iris Paparelle, Johan Henaff, Jorge Garcia-Beni, Emilie Gillet, Gian Luca Giorgi, Miguel C. Soriano, Roberta Zambrini, Valentina Parigi
https://arxiv.org/abs/2506.07279

Experimental memory control in continuous variable optical quantum reservoir computing
Quantum reservoir computing (QRC) offers a promising framework for online quantum-enhanced machine learning tailored to temporal tasks, yet practical implementations with native memory capabilities remain limited. Here, we demonstrate an optical QRC platform based on deterministically generated multimode squeezed states, exploiting both spectral and temporal multiplexing in a fully continuous-variable (CV) setting, and enabling controlled fading memory. Data is encoded via programmable phase sh…