Majorization Relation in Quantum Critical Systems

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 critical systems via LOCC and propose a novel method to reveal th...

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Published inChinese physics letters Vol. 31; no. 7; pp. 145 - 148
Main Author 淮琳萍 张煜然 刘思远 杨文力 屈世显 范桁
Format Journal Article
LanguageEnglish
Published 01.07.2014
Subjects
Constrictions
Conversion
Data processing
Entanglement
Entropy (Information)
Ground state
Ising model
Phase transformations
一维
临界系统
伊辛模型
化探
基态
横向场
相变点
量子信息处理
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Summary: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 critical systems via LOCC and propose a novel method to reveal the different convertibilities via majorization relation when a quantum phase transition occurs. The ground-state local convertibility in the one-dimensional transverse field Ising model is studied. It is shown that the LOCC convertibility changes nearly at the phase transition point. The relation between the order of quantum phase transitions and the LOCC convertibility is discussed. Our results are compared with the corresponding results by using the Renyi entropy and the LOCC convertibility with assisted entanglement.
Bibliography: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 critical systems via LOCC and propose a novel method to reveal the different convertibilities via majorization relation when a quantum phase transition occurs. The ground-state local convertibility in the one-dimensional transverse field Ising model is studied. It is shown that the LOCC convertibility changes nearly at the phase transition point. The relation between the order of quantum phase transitions and the LOCC convertibility is discussed. Our results are compared with the corresponding results by using the Renyi entropy and the LOCC convertibility with assisted entanglement.
11-1959/O4
HUAI Lin-Ping, ZHANG Yu-Ran, LIU Si-Yuan, YANG Wen-Li, QU Shi-Xian, FAN Heng（1 Institute of Theoretical and Computational Physics, School of Physics and Information Technology, Shaanxi Normal University, Xi＇an 710062 ; 2 Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190 ;3Institute of Modern Physics, Northwest University, Xi＇an 710069 ; 4 Collaborative hmovation Center of Quantum Matter, Beijing 100190）
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/31/7/076401