Zobrazeno 1 - 10
of 2 288
pro vyhledávání: '"R´enyi entropy"'
Autor:
Buchanan, Andrew
A method is presented for computing the R\'enyi entropy of a perturbed massless vacuum on the ball via a comparison with lattice field theory. If the perturbed state is Gaussian with smoothly varying correlation functions and the perturbation paramet
Externí odkaz:
http://arxiv.org/abs/2411.19312
We introduce the Langevin deformation for the R\'enyi entropy on the $L^2$-Wasserstein space over $\mathbb{R}^n$ or a Riemannian manifold, which interpolates between the porous medium equation and the Benamou-Brenier geodesic flow on the $L^2$-Wasser
Externí odkaz:
http://arxiv.org/abs/2410.20369
We modify the R\'enyi (1961) axioms for entropy to apply to negative (``signed") measures as arise, for example, in phase-space representations of quantum mechanics. We obtain two new measures of (lack of) information about a system -- which we propo
Externí odkaz:
http://arxiv.org/abs/2410.15976
Unraveling the secrets of how much nonstabilizerness a quantum dynamic can generate is crucial for harnessing the power of magic states, the essential resources for achieving quantum advantage and realizing fault-tolerant quantum computation. In this
Externí odkaz:
http://arxiv.org/abs/2409.06659
Autor:
Nomura, Ryo, Yagi, Hideki
Two typical fixed-length random number generation problems in information theory are considered for general sources. One is the source resolvability problem and the other is the intrinsic randomness problem. In each of these problems, the optimum ach
Externí odkaz:
http://arxiv.org/abs/2404.11097
We investigate the role of the permutationally invariant part of the density matrix (PIDM) in capturing the properties of the ground state of the system during a quantum phase transition. In the context of quantum state tomography, PIDM is known to b
Externí odkaz:
http://arxiv.org/abs/2404.08389
Autor:
Ozawa, Misaki, Javerzat, Nina
Publikováno v:
Europhysics Letters, Volume 147, Number 1, 11001 (2024)
R\'enyi entropy is a one-parameter generalization of Shannon entropy, which has been used in various fields of physics. Despite its wide applicability, the physical interpretations of the R\'enyi entropy are not widely known. In this paper, we discus
Externí odkaz:
http://arxiv.org/abs/2404.06436
Autor:
López, Jordi Arnau Montañà, Kos, Pavel
Publikováno v:
J. Phys. A: Math. Theor. 57 (2024) 475301
Quantum systems can not be efficiently simulated classically due to the presence of entanglement and nonstabilizerness, also known as quantum magic. Here we study the generation of magic under evolution by a quantum circuit. To be able to provide exa
Externí odkaz:
http://arxiv.org/abs/2405.04448
Autor:
Belov, V. V., Pogosov, W. V.
We conduct a numerical investigation of the dynamics of the central spin model in the presence of measurement processes. This model holds promise for experimental exploration due to its topology, which facilitates the natural distinction of a central
Externí odkaz:
http://arxiv.org/abs/2404.15717
We extend Bobkov and Chistyakov's (2015) upper bounds on concentration functions of sums of independent random variables to a multivariate entropic setting. The approach is based on pointwise estimates on densities of sums of independent random vecto
Externí odkaz:
http://arxiv.org/abs/2406.04200