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The relation between the violation of the Bell-CHSH inequalities and entanglement properties of quantum states is not clear so one may consider the mixedness of the system to understand the entanglement properties better than the Bell-CHSH…

量子物理 · 物理学 2009-06-11 Satyabrata Adhikari

We provide an upper bound on the maximal entropy rate at which the entropy of the expected density operator of a given ensemble of two states changes under nonlocal unitary evolution. A large class of entropy measures in considered, which…

数学物理 · 物理学 2022-01-03 Anna Vershynina

Entanglement is a striking feature of quantum mechanics, and it has a key property called unextendibility. In this paper, we present a framework for quantifying and investigating the unextendibility of general bipartite quantum states.…

量子物理 · 物理学 2024-03-28 Kun Wang , Xin Wang , Mark M. Wilde

The entanglement properties of random quantum states or dynamics are important to the study of a broad spectrum of disciplines of physics, ranging from quantum information to high energy and many-body physics. This work investigates the…

量子物理 · 物理学 2018-07-10 Zi-Wen Liu , Seth Lloyd , Elton Yechao Zhu , Huangjun Zhu

We study systematically resource measures of coherence and entanglement based on R\'enyi relative entropies, which include the logarithmic robustness of coherence, geometric coherence, and conventional relative entropy of coherence together…

量子物理 · 物理学 2017-11-29 Huangjun Zhu , Masahito Hayashi , Lin Chen

We theoretically derive the probability densities of the entanglement measures of a pure non-ergodic many-body state, represented in a bipartite product basis and with its reduced density matrix described by a generalized, multi-parametric…

量子物理 · 物理学 2024-12-11 Devanshu Shekhar , Pragya Shukla

We introduce a general scheme to detect various multiparticle entanglement structures from global non-permutationally invariant observables. In particular, we derive bounds on the variance of non-permutationally invariant and collective…

量子物理 · 物理学 2017-08-24 Oliver Marty , Marcus Cramer , Giuseppe Vitagliano , Geza Toth , Martin B. Plenio

We explore the subtle relationships between partial separability and entanglement of subsystems in multiqubit quantum states and give experimentally accessible conditions that distinguish between various classes and levels of partial…

量子物理 · 物理学 2008-09-03 Michael Seevinck , Jos Uffink

Quantum entanglement serves as a fundamental resource in quantum information theory. This paper presents a comprehensive framework of separability criteria for detecting bipartite and multipartite entanglements. We construct a novel…

量子物理 · 物理学 2026-05-19 Linwei Li , Chunlin Yang , Hongmei Yao , Aimin Xu , Zhaobing Fan , Shao-Ming Fei

It has been known for some years that entanglement entropy obtained from partial trace does not provide the correct entanglement measure when applied to systems of identical particles. Several criteria have been proposed that have the…

高能物理 - 理论 · 物理学 2013-03-05 A. P. Balachandran , T. R. Govindarajan , Amilcar R. de Queiroz , A. F. Reyes-Lega

We present a method for improving measurements of the entanglement R\'enyi entropies in quantum Monte Carlo simulations by relating them with measurements of participation R\'enyi entropies. Exploiting the capability of building improved…

强关联电子 · 物理学 2014-11-11 David J. Luitz , Xavier Plat , Nicolas Laflorencie , Fabien Alet

The topological R\'enyi and entanglement entropies depend on the bipartition of the manifold and the choice of the ground states. However, these entanglement quantities remain invariant under a coordinate transformation when the bipartition…

强关联电子 · 物理学 2024-02-21 Chih-Yu Lo , Po-Yao Chang

We derive an explicit analytic estimate for the entanglement of a large class of bipartite quantum states which extends into bound entanglement regions. This is done by using an efficiently computable concurrence lower bound, which is…

We develop a quantum Monte Carlo procedure, in the valence bond basis, to measure the Renyi entanglement entropy of a many-body ground state as the expectation value of a unitary {\it Swap} operator acting on two copies of the system. An…

强关联电子 · 物理学 2012-01-18 Matthew B. Hastings , Ivan Gonzalez , Ann B. Kallin , Roger G. Melko

We present universal relations between entanglement entropy, which quantifies the quantum correlation between subsystems, and the elastic cross section, which is the primary observable for high energy particle scattering, by employing a…

高能物理 - 理论 · 物理学 2024-10-31 Ian Low , Zhewei Yin

We introduce R\'enyi entropy of a subsystem energy as a natural quantity which closely mimics the behavior of the entanglement entropy and can be defined for all the quantum many body systems. For this purpose, consider a quantum chain in…

强关联电子 · 物理学 2019-11-13 Khadijeh Najafi , M. A. Rajabpour

We compute analytically the statistics of the Renyi and von Neumann entropies (standard measures of entanglement), for a random pure state in a large bipartite quantum system. The full probability distribution is computed by first mapping…

统计力学 · 物理学 2011-05-30 Celine Nadal , Satya N Majumdar , Massimo Vergassola

Considering pure quantum states, entanglement concentration is the procedure where from $N$ copies of a partially entangled state, a single state with higher entanglement can be obtained. Getting a maximally entangled state is possible for…

量子物理 · 物理学 2023-04-12 L. Palma Torres , M. A. Solís-Prosser , O. Jiménez , E. S. Gómez , A. Delgado

Entanglement plays a central role in quantum information processing, indicating the non-local correlation of quantum matters. However, few effective ways are known to detect the amount of entanglement of an unknown quantum state. In this…

量子物理 · 物理学 2020-11-26 You Zhou , Pei Zeng , Zhenhuan Liu

Topological order in a 2d quantum matter can be determined by the topological contribution to the entanglement R\'enyi entropies. However, when close to a quantum phase transition, its calculation becomes cumbersome. Here we show how…

强关联电子 · 物理学 2014-12-24 Roman Orus , Tzu-Chieh Wei , Oliver Buerschaper , Artur Garcia-Saez