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This work is an enquiry into the circumstances under which entropy methods can give an answer to the questions of both quantum separability and classical correlations of a composite state. Several entropy functionals are employed to examine…

量子物理 · 物理学 2009-11-07 A. K. Rajagopal , R. W. Rendell

We consider the entanglement entropy in critical one-dimensional quantum systems with open boundary conditions. We show that the second R\'enyi entropy of an interval away from the boundary can be computed exactly, provided the same…

数学物理 · 物理学 2022-05-18 Benoit Estienne , Yacine Ikhlef , Andrei Rotaru

We formulate an infinite hierarchy of continuous-variable separability criteria in terms of quasiprobability distributions and their derivatives evaluated at individual points in phase space. Our approach is equivalent to the…

量子物理 · 物理学 2026-02-26 Elena Callus , Martin Gärttner , Tobias Haas

We investigate the entanglement of a quantum field in the expanding universe. By introducing a bipartite system using a coarse-grained scalar field, we apply the separability criterion based on the partial transpose operation and…

广义相对论与量子宇宙学 · 物理学 2014-11-20 Yasusada Nambu , Yuji Ohsumi

We propose a scheme for distillation of free bipartite entanglement from bipartite bound-entangled states. The crucial element of our scheme is an ancillary system that is coupled to the initial bound-entangled state via appropriate weak…

量子物理 · 物理学 2013-12-19 S. Baghbanzadeh , A. T. Rezakhani

The entanglement properties in an antiferromagnetic dimerized Heisenberg spin-1/2 chain are investigated. The entanglement gap, which is the difference between the ground-state energy and the minimal energy that any separable state can…

量子物理 · 物理学 2008-03-07 Xiang Hao , Shiqun Zhu

We introduce a sequence of numerical tests that can determine the entanglement or separability of a state even when there is not enough information to completely determine its density matrix. Given partial information about the state in the…

量子物理 · 物理学 2012-12-14 Federico M. Spedalieri

In this paper we consider the separability problem for bipartite quantum states arising from graphs. Earlier it was proved that the degree criterion is the graph-theoretic counterpart of the familiar positive partial transpose criterion for…

量子物理 · 物理学 2016-07-29 Supriyo Dutta , Bibhas Adhikari , Subhashish Banerjee , R. Srikanth

We present a general criterion for entanglement of N indistinguishable particles decomposed into arbitrary s subsystems based on the unambiguous measurability of correlation. Our argument provides a unified viewpoint on the entanglement of…

量子物理 · 物理学 2011-02-10 Toshihiko Sasaki , Tsubasa Ichikawa , Izumi Tsutsui

Both direct and indirect weak nonresonant interactions are shown to produce entanglement between two initially disentangled systems prepared as a tensor product of thermal states, provided the initial temperature is sufficiently low.…

量子物理 · 物理学 2009-11-11 Michael Khasin , Ronnie Kosloff

Gapped two-dimensional topological phases can feature ungappable edge states which are robust even in the absence of protecting symmetries. In this work we show that a multipartite entanglement measure recently proposed in the context of…

量子物理 · 物理学 2022-07-20 Karthik Siva , Yijian Zou , Tomohiro Soejima , Roger S. K. Mong , Michael P. Zaletel

Using an operational definition we quantify the entanglement, $E_P$, between two parties who share an arbitrary pure state of $N$ indistinguishable particles. We show that $E_P \leq E_M$, where $E_M$ is the bipartite entanglement calculated…

量子物理 · 物理学 2009-11-07 H. M. Wiseman , John A. Vaccaro

We first propose a new separability criterion based on algebraic-geometric invariants of bipartite mixed states introduced in [1], then prove that for all low ranks r <m+n-2, generic rank r mixed states in mxn systems have relatively high…

量子物理 · 物理学 2007-05-23 Hao Chen

The entanglement entropy of a pure quantum state of a bipartite system $A \cup B$ is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. Critical ground states of local…

强关联电子 · 物理学 2008-11-26 Eduardo Fradkin , Joel E. Moore

The strange property of the Einstein-Podolsky-Rosen (EPR) correlation between two remote physical systems is a primitive object on the study of quantum entanglement. In order to understand the entanglement in canonical continuous-variable…

量子物理 · 物理学 2013-03-20 Ryo Namiki

The quantum entanglement measure is determined, for the first time, for a collection of spin-1/2 arranged in a infinite chain with finite temperature and applied to a single-crystal \beta-\mathrm{T_eVO_4}. The physical quantity proposed…

强关联电子 · 物理学 2016-05-17 S. L. L. da Silva

Relativistic bipartite entangled quantum states is studied to show that Nature doesn't favor nonlocality for massive particles in the ultra-relativistic limit. We found that to an observer (Bob) in a moving frame S', the entangled Bell…

量子物理 · 物理学 2007-05-23 Doyeol Ahn , Hyuk-jae Lee , Sung Woo Hwang

We investigate the bipartite entanglement for the boundary states in a simple type of spin networks with dangling edges, in which the two complementary parts are linked by two or more edges. Firstly, the spin entanglement is considered in…

高能物理 - 理论 · 物理学 2019-01-23 Yi Ling , Meng-He Wu , Yikang Xiao

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

Bound entanglement is a special form of quantum entanglement that cannot be used for distillation, i.e., the local transformation of copies of arbitrarily entangled states into a smaller number of approximately maximally entangled states.…

量子物理 · 物理学 2025-08-01 Beatrix C. Hiesmayr , Christopher Popp , Tobias C. Sutter