自然科学版
陕西师范大学学报(自然科学版)
专题研究
Bell基的局域SU2变换不变量研究
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查 新 未
(西安邮电学院 应用数理系, 陕西 西安 710061)
查新未,男,教授,主要从事量子力学与量子信息研究.
摘要:
由局域SU2变换不变量出发,对Bell基矢的纠缠度及Bell基矢的局域SU2变换不变量进行分析,讨论了Bell基线性叠加态的纠缠度.结果表明,虽然Bell基都是纠缠度最大的纠缠态,但从局域SU2变换不变量看其仍是两种形式.同一形式的最大纠缠态线性叠加(实数)构成的态仍是纠缠态,且纠缠度不变,其态矢构成纠缠基;不同形式的最大纠缠态线性组合后纠缠度改变,其态矢不能构成纠缠基.任意多个局域SU2不变量相同的最大纠缠态线性叠加构成的态仍是纠缠态,且纠缠度不变.
关键词:
Bell基; SU2不变量; 线性叠加态
收稿日期:
2006-01-12
中图分类号:
O413.1
文献标识码:
A
文章编号:
1672-4291(2006)03-0041-03
基金项目:
国家自然科学基金资助项目(40375010); 陕西省自然科学基金资助项目(2004A15); 陕西省教育厅专项科研基金资助项目(2005JK288)
Doi:
Analysis on Bell bases with SU2 transformation invariant
ZHA Xin-wei
(Department of Applied Mathematics and Physics, Xi′an Institute of Posts and Telecommunications, Xi′an 710061, Shaanxi, China)
Abstract:
The entanglement measure and local SU2 transformation of Bell bases are studied by utilizing SU2 transformation invariant. The entanglement measure of Bell bases that combinated linearly is discussed. The analysis results show that all Bell states are maximally entangled states, but they are two different local SU2 transformation invariant. The Bell states with same forms can become entangled bases, but the Bell states with different forms can not become entangled bases. Furthermore, it is found that arbitrary linear combination of maximally entangled states with same forms is also maximally entangled state.
KeyWords:
Bell bases; local SU2 transformation invariant;linear combination state