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The local convertibility of quantum states, measured by the R\'enyi entropy, is concerned with whether or not a state can be transformed into another state, using only local operations and classical communications. We found that in the…

介观与纳米尺度物理 · 物理学 2015-06-24 Li Dai , Ming-Chiang Chung

We investigate crossing behavior of ground state entanglement Renyi entropies of quantum critical systems. We find a novel property that the ground state in one quantum phase cannot be locally transferred to that of another phase, that…

量子物理 · 物理学 2010-12-23 Jian Cui , Jun-Peng Cao , Heng Fan

The low-temperature physics of quantum many-body systems is largely governed by the structure of their ground states. Minimizing the energy of local interactions, ground states often reflect strong properties of locality such as the area…

量子物理 · 物理学 2017-01-18 Tomotaka Kuwahara , Itai Arad , Luigi Amico , Vlatko Vedral

Local Convertibility refers to the possibility of transforming a given state into a target one, just by means of LOCC with respect to a given bipartition of the system and it is possible if and only if all the Renyi-entropies of the initial…

强关联电子 · 物理学 2022-08-15 Luigi Amico , Vladimir Korepin , Alioscia Hamma , Salvatore Marco Giampaolo , Fabio Franchini

A quantum many-body state built on a classical 1D Ising model with locally entangled qubits is considered. This setup can model an infinite-player quantum Prisoner's dilemma game with each site representing two entangled players (or…

量子物理 · 物理学 2023-09-21 Colin Benjamin , Aditya Dash

Recently, it has been suggested that operational properties connected to quantum computation can be alternative indicators of quantum phase transitions. In this work we systematically study these operational properties in 1D systems that…

We study the entanglement structure and the topological edge states of the ground state of the spin-1/2 XXZ model with bond alternation. We employ parity-density matrix renormalization group with periodic boundary conditions. The…

量子物理 · 物理学 2016-05-25 Yu-Chin Tzeng , Li Dai , M. -C. Chung , Luigi Amico , Leong-Chuan Kwek

We compare the time evolution of entanglement measures after local operator excitation in the critical Ising model with predictions from conformal field theory. For the spin operator and its descendants we find that Renyi entropies of a…

强关联电子 · 物理学 2017-01-10 Pawel Caputa , Marek M. Rams

We consider a one-dimensional spin chain for which the ground state is the cluster state, capable of functioning as a quantum computational wire when subjected to local adaptive measurements of individual qubits, and investigate the…

量子物理 · 物理学 2009-08-13 Stein Olav Skrøvseth , Stephen D. Bartlett

For pure states of multi-dimensional quantum lattice systems, which in a convenient computational basis have amplitude and phase structure of sufficiently rapid decorrelation, we construct high fidelity approximations of relatively low…

量子物理 · 物理学 2025-03-18 Michael Aizenman , Simone Warzel

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

We consider pure quantum states of $N\gg 1$ spins or qubits and study the average entanglement that can be \emph{localized} between two separated spins by performing local measurements on the other individual spins. We show that all…

量子物理 · 物理学 2007-05-23 F. Verstraete , M. Popp , J. I. Cirac

Quantum systems can exhibit a great deal of universality at low temperature due to the structure of ground states and the critical points separating distinct states. On the other hand, quantum time evolution of the same systems involves all…

无序系统与神经网络 · 物理学 2014-06-11 Ronen Vosk , Ehud Altman

Quantum phase transitions occur at zero temperature and involve the appearance of long-range correlations. These correlations are not due to thermal fluctuations but to the intricate structure of a strongly entangled ground state of the…

量子物理 · 物理学 2008-11-26 G. Vidal , J. I. Latorre , E. Rico , A. Kitaev

We consider the transformation of multisystem entangled states by local quantum operations and classical communication. We show that, for any reversible transformation, the relative entropy of entanglement for two parties must remain…

量子物理 · 物理学 2007-05-23 N. Linden , S. Popescu , B. Schumacher , M. Westmoreland

The most basic local conversion is local operations and classical communications (LOCC), which is also the most natural restriction in quantum information processing. We investigate the conversions between the ground states in quantum…

量子物理 · 物理学 2015-05-27 Lin-Ping Huai , Yu-Ran Zhang , Si-Yuan Liu , Wen-Li Yang , Shi-Xian Qu , Heng Fan

Entanglement is one of the key feature of quantum world and any entanglement measure must satisfy some basic laws. Most important of them is the invariance of entanglement under local unitary operations. We show that this is no longer true…

量子物理 · 物理学 2014-04-25 Arun Kumar Pati

The transition from a many-body localized phase to a thermalizing one is a dynamical quantum phase transition which lies outside the framework of equilibrium statistical mechanics. We provide a detailed study of the critical properties of…

无序系统与神经网络 · 物理学 2017-04-27 Vedika Khemani , S. P. Lim , D. N. Sheng , David A. Huse

Departing from the usual paradigm of local operations and classical communication adopted in entanglement theory, here we study the interconversion of quantum states by means of local operations and shared randomness. A set of necessary and…

量子物理 · 物理学 2012-05-18 Francesco Buscemi

Conversions between the ground states in quantum critical systems via entanglement-assisted local operations and classical communications (eLOCC) are studied. We propose a new method to reveal the different convertibility by local…

量子物理 · 物理学 2012-05-09 Jian Cui , Jun-Peng Cao , Heng Fan
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