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2×5×5纯态量子体系完全纠缠态的分类

  • 程硕 ,
  • 李军利 ,
  • 乔从丰
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  • 1. 中国科学院研究生院物理科学学院, 北京 100049;
    2. 中国科学院大科学装置理论物理研究中心(TPCSF), 京 100049

收稿日期: 2008-11-28

  修回日期: 2009-02-16

  网络出版日期: 2009-05-15

基金资助

国家自然科学基金(10491306, 10521003, 10775179)资助 

Classification of the ture entangled state of 2×5×5 pure systems

  • CHENG Shuo ,
  • LI Jun-Li ,
  • QIAO Cong-Feng
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  • 1. College of Physical Science, Graduate University of the Chinese Academy of Sciences,Beijing 100049, China;
    2. Theoretical Physics Center for Science Facilities (TPCSF), Beijing 100049, China

Received date: 2008-11-28

  Revised date: 2009-02-16

  Online published: 2009-05-15

摘要

基于"随机局域操作和经典通讯"对2×5×5纯态量子系统的完全纠缠态进行了分类,共得到34个不等价类.其中有3个类对应的纠缠态含有连续参数.对含参数类的参数进行了详细研究,发现其中有2个类只含1个独立参数;另外1个含有2个独立参数.而且这些独立参数并不完全任意,它们有确定的对称性.对于1个独立参数情形,得到该参数具有D3群对称性.

关键词: 量子纠缠; 分类; 多体

本文引用格式

程硕 , 李军利 , 乔从丰 . 2×5×5纯态量子体系完全纠缠态的分类[J]. 中国科学院大学学报, 2009 , 26(3) : 303 -309 . DOI: 10.7523/j.issn.2095-6134.2009.3.003

Abstract

We fully classify the quantum pure state of 2×5×5 system under stochastic local operations and classical communication. We find all together 34 inequivalent classes, 3 of which have non-local parameters. One of them has two non-local parameters, and the other two have only one. The parameters are not completely arbitrary. We find that the parameters have some symmetry properties, and there is a D3 symmetry for the case of one parameter.

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