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Recent proposals of measuring bipartite Renyi entropy experimentally involve techniques that hold exactly for non-interacting quantum particles. Here we consider the difference between such measurements and the actual Renyi entropy for…

强关联电子 · 物理学 2012-05-02 Norm M. Tubman , Jeremy McMinis

We study experimentally accessible lower bounds on entanglement measures based on entropic uncertainty relations. Experimentally quantifying entanglement is highly desired for applications of quantum simulation experiments to fundamental…

量子物理 · 物理学 2021-05-25 Bjarne Bergh , Martin Gärttner

We revisit the relationship between quantum separability and the sign of the relative q-entropies of composite quantum systems. The q-entropies depend on the density matrix eigenvalues p_i through the quantity omega_q = sum_i p_i^q. Renyi's…

量子物理 · 物理学 2016-09-08 J. Batle , A. R. Plastino , M. Casas , A. Plastino

We present upper and lower bounds to the relative entropy of entanglement of multi-party systems in terms of the bi-partite entanglements of formation and distillation and entropies of various subsystems. We point out implications of our…

量子物理 · 物理学 2009-11-06 M. B. Plenio , V. Vedral

Entanglement is one of the most intriguing features of quantum theory and a main resource in quantum information science. Ground states of quantum many-body systems with local interactions typically obey an "area law" meaning the…

高能物理 - 理论 · 物理学 2018-11-12 Fumihiko Sugino , Vladimir Korepin

A large class of strongly correlated quantum systems can be described in certain large-N limits by quadratic in field actions along with self-consistency equations that determine the two-point functions. We use the replica approach and the…

强关联电子 · 物理学 2024-02-20 Siqi Shao , Yashar Komijani

We study the unitary time evolution of the entropy of entanglement of a one-dimensional system between the degrees of freedom in an interval of length l and its complement, starting from a pure state which is not an eigenstate of the…

统计力学 · 物理学 2011-02-16 Pasquale Calabrese , John Cardy

We study the excess of (Renyi) entanglement entropy in various free field theories for the locally excited states defined by acting with local operators on the ground state. It is defined by subtracting the entropy for the ground state from…

高能物理 - 理论 · 物理学 2017-08-02 Masahiro Nozaki , Naoki Watamura

We prove a conjecture by Bravyi on an upper bound on entanglement rates of local Hamiltonians. We then use this bound to prove the stability of the area law for the entanglement entropy of quantum spin systems under adiabatic and…

Entanglement in a pure state of a many-body system can be characterized by the R\'enyi entropies $S^{(\alpha)}=\ln\textrm{tr}(\rho^\alpha)/(1-\alpha)$ of the reduced density matrix $\rho$ of a subsystem. These entropies are, however,…

无序系统与神经网络 · 物理学 2020-06-18 Maximilian Kiefer-Emmanouilidis , Razmik Unanyan , Jesko Sirker , Michael Fleischhauer

Entanglement is the fundamental quantum property behind the now popular field of quantum transport of information. This quantum property is incompatible with the separation of a single system into two uncorrelated subsystems. Consequently,…

统计力学 · 物理学 2009-11-07 Filippo Giraldi , Paolo Grigolini

A new method is proposed for analyzing complexity and studying the information in random geometric networks using Tsallis entropy tool. Tsallis entropy of the ensemble of random geometric networks is calculated based on the components of…

统计力学 · 物理学 2025-02-20 O. K. Kazemi , S. M. Taheri

We propose a generalized entropy maximization procedure, which takes into account the generalized averaging procedures and information gain definitions underlying the generalized entropies. This novel generalized procedure is then applied…

统计力学 · 物理学 2015-05-13 G. Baris Bagci , Ugur Tirnakli

The full state vector of boson sampling is generated by passing S single photons through beam splitters of M modes. The initial Fock state is expressed withgeneralized coherent states, and an exact application of the unitary evolution…

量子物理 · 物理学 2023-07-12 Yulong Qiao , Joonsuk Huh , Frank Grossmann

We study entanglement and other correlation properties of random states in high-dimensional bipartite systems. These correlations are quantified by parameters that are subject to the "concentration of measure" phenomenon, meaning that on a…

量子物理 · 物理学 2007-05-23 Patrick Hayden , Debbie W. Leung , Andreas Winter

Quantum spin liquids are phases of matter whose internal structure is not captured by a local order parameter. Particularly intriguing are critical spin liquids, where strongly interacting excitations control low energy properties. Here we…

强关联电子 · 物理学 2011-08-05 Yi Zhang , Tarun Grover , Ashvin Vishwanath

In this work we consider the time evolution of charged Renyi entanglement entropies after exciting the vacuum with local fermionic operators. In order to explore the information contained in charged Renyi entropies, we perform computations…

高能物理 - 理论 · 物理学 2016-05-25 Pawel Caputa , Masahiro Nozaki , Tokiro Numasawa

Quantifying entanglement for multipartite quantum state is a crucial task in many aspects of quantum information theory. Among all the entanglement measures, relative entropy of entanglement $E_{R}$ is an outstanding quantity due to its…

量子物理 · 物理学 2020-10-30 Shi-Yao Hou , Chenfeng Cao , D. L. Zhou , Bei Zeng

Entanglement entropy has become an important theoretical concept in condensed matter physics, because it provides a unique tool for characterizing quantum mechanical many-body phases and new kinds of quantum order. However, the experimental…

介观与纳米尺度物理 · 物理学 2012-07-13 Dmitry A. Abanin , Eugene Demler

We discuss quantum entanglement between fast and slow degrees of freedom, in a two dimensional (2D) large $N_c$ gauge theory with Dirac quarks, quantized on the light front. Using the 't Hooft wave functions, we construct the reduced…

高能物理 - 唯象学 · 物理学 2022-06-29 Yizhuang Liu , Maciej A. Nowak , Ismail Zahed