Generalized Rényi Entropy Accumulation Theorem and Generalized Quantum Probability Estimation [PDF]
Physical Review XThe entropy accumulation theorem—and its subsequent generalized version—is a powerful tool in the security analysis of many device-dependent and device-independent cryptography protocols. However, it has the drawback that the finite-size bounds it yields
Amir Arqand +2 more
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A Generalized Equilibrium Transform with Application to Error Bounds in the Rényi Theorem with No Support Constraints [PDF]
Mathematics, 2020 We introduce a generalized stationary renewal distribution (also called the equilibrium transform) for arbitrary distributions with finite nonzero first moment and study its properties.
Irina Shevtsova, Mikhail Tselishchev
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Holographic second laws of black hole thermodynamics
Journal of High Energy Physics, 2018 Recently, it has been shown that for out-of-equilibrium systems, there are additional constraints on thermodynamical evolution besides the ordinary second law.
Alice Bernamonti +3 more
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A simple probabilistic construction yielding generalized entropies and divergences, escort distributions and q-Gaussians [PDF]
, 2012 We give a simple probabilistic description of a transition between two states which leads to a generalized escort distribution. When the parameter of the distribution varies, it defines a parametric curve that we call an escort-path.
Abe +35 more
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Spectra of large diluted but bushy random graphs [PDF]
, 2013 We compute an asymptotic expansion in $1/c$ of the limit in $n$ of the empirical spectral measure of the adjacency matrix of an Erd\H{o}s-R\'enyi random graph with $n$ vertices and parameter $c/n$.
Enriquez, Nathanael, Menard, Laurent
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Strong entanglement distribution of quantum networks
Physical Review Research, 2022 Large-scale quantum networks have been employed to overcome practical constraints of transmission and storage for single entangled systems. Our goal in this paper is to explore the strong entanglement distribution of quantum networks.
Xue Yang, Yan-Han Yang, Ming-Xing Luo
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Analytic and Asymptotic Properties of the Generalized Student and Generalized Lomax Distributions
Mathematics, 2023 Analytic and asymptotic properties of the generalized Student and generalized Lomax distributions are discussed, with the main focus on the representation of these distributions as scale mixtures of the laws that appear as limit distributions in ...
Victor Korolev
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Universal thermal corrections to symmetry-resolved entanglement entropy and full counting statistics
Journal of High Energy Physics, 2023 In the presence of a global symmetry, the entanglement entropy of a quantum system can be decomposed among the individual symmetry sectors, dubbed symmetry-resolved entanglement entropy.
Mostafa Ghasemi
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Samplers and Extractors for Unbounded Functions [PDF]
, 2019 Blasiok (SODA\u2718) recently introduced the notion of a subgaussian sampler, defined as an averaging sampler for approximating the mean of functions f from {0,1}^m to the real numbers such that f(U_m) has subgaussian tails, and asked for explicit ...
Agrawal, Rohit
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Expressivity of quantum neural networks
Physical Review Research, 2021 In this work, we address the question whether a sufficiently deep quantum neural network can approximate a target function as accurate as possible. We start with typical physical situations that the target functions are physical observables, and then we ...
Yadong Wu +3 more
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