Results 31 to 40 of about 11,677 (195)
On Variational Expressions for Quantum Relative Entropies [PDF]
, 2017 Distance measures between quantum states like the trace distance and the fidelity can naturally be defined by optimizing a classical distance measure over all measurement statistics that can be obtained from the respective quantum states.
Berta, Mario +2 more
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Renyi Entropy Estimation Revisited
Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2017), 2017 We revisit the problem of estimating entropy of discrete distributions from independent samples, studied recently by Acharya, Orlitsky, Suresh and Tyagi (SODA 2015), improving their upper and lower bounds on the necessary sample size n. For estimating Renyi entropy of order alpha, up to constant accuracy and error probability, we show the following ...
Obremski, Maciej, Skorski, Maciej
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Holographic Renyi entropy from quantum error correction [PDF]
Journal of High Energy Physics, 2019 Abstract We study Renyi entropies S n in quantum error correcting codes and compare the answer to the cosmic brane prescription for computing $$ {\tilde{S}}_n\equiv {n}^2{\partial}_n\left(\frac{n-1}{n}{S}_n\right) $$
Akers, Chris, Rath, Pratik
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Journal of High Energy Physics, 2021 We study the excited state Rényi entropy and subsystem Schatten distance in the two-dimensional free massless non-compact bosonic field theory, which is a conformal field theory.
Jiaju Zhang, M. A. Rajabpour
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Note on entropy dynamics in the Brownian SYK model
Journal of High Energy Physics, 2021 We study the time evolution of Rényi entropy in a system of two coupled Brownian SYK clusters evolving from an initial product state. The Rényi entropy of one cluster grows linearly and then saturates to the coarse grained entropy.
Shao-Kai Jian, Brian Swingle
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Estimating Renyi Entropy of Discrete Distributions [PDF]
IEEE Transactions on Information Theory, 2017 It was recently shown that estimating the Shannon entropy $H({\rm p})$ of a discrete $k$-symbol distribution ${\rm p}$ requires $ (k/\log k)$ samples, a number that grows near-linearly in the support size. In many applications $H({\rm p})$ can be replaced by the more general R nyi entropy of order $ $, $H_ ({\rm p})$.
Jayadev Acharya +3 more
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Journal of Inequalities and Applications, 2023 In this paper, four new Green functions are used to generalize Levinson-type inequalities for the class of 3-convex functions. The f-divergence, Renyi entropy, Renyi divergence, Shannon entropy, and the Zipf–Mandelbrot law are also used to apply the main
Awais Rasheed +3 more
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Non-additivity of Renyi entropy and Dvoretzky's Theorem [PDF]
, 2010 The goal of this note is to show that the analysis of the minimum output p-Renyi entropy of a typical quantum channel essentially amounts to applying Milman's version of Dvoretzky's Theorem about almost Euclidean sections of high-dimensional convex ...
Amosov G. G. +9 more
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Green's function approach to entanglement entropy on lattices and fuzzy spaces
Physics Letters B, 2019 We develop a Green's function approach to compute Rényi entanglement entropy on lattices and fuzzy spaces. The Rényi entropy resulting from tracing out an arbitrary collection of subsets of coupled harmonic oscillators is written as zero temperature ...
Amel Allouche, Djamel Dou
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Entanglement and boundary critical phenomena [PDF]
, 2005 We investigate boundary critical phenomena from a quantum information perspective. Bipartite entanglement in the ground state of one-dimensional quantum systems is quantified using the Renyi entropy S_alpha, which includes the von Neumann entropy (alpha ...
A. B. Zamolodchikov +16 more
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