华东师范大学学报(自然科学版) ›› 2014, Vol. 2014 ›› Issue (1): 1-8.

• 应用数学与基础数学 •    下一篇

一类 5×5 的可分量子态的可分表示

黄晓芬   

  1. 海南师范大学~~数学与统计学院,\; 海南\, 海口\; 571158
  • 收稿日期:2013-04-01 修回日期:2013-07-01 出版日期:2014-01-25 发布日期:2015-09-25

Decompositions for a class of 5×5 separable quantum states

HUANG Xiao-fen   

  1. School of Mathematics and Statistics, Hainan Normal University,\; Haikou Hainan\; 571158, China
  • Received:2013-04-01 Revised:2013-07-01 Online:2014-01-25 Published:2015-09-25

摘要: 研究了一类 5×5 的两体量子态,
证明其可分的充分必要条件是它的部分转置矩阵为半正定矩阵~(PPT),
并且构造出了这类可分态的一种可分分解表示. 用此方法,
可判别一类量子态是否纠缠.

关键词: PPT, 纠缠, 可分性

Abstract: This paper studied certain quantum states for which the PPT
criterion was both sufficient and necessary for separability. A
class of 5×5, bipartite mixed states was prestented and the
conditions of PPT for these states were derived. The separable pure
state decompositions of these states were explicitly constructed
when they were PPT, so we can judge a class of states entangled or
not by this method.

Key words: PPT, entanglement, separability

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