Optimal entanglement witnesses for qubits and qutrits

被引:61
作者
Bertlmann, RA [1 ]
Durstberger, K [1 ]
Hiesmayr, BC [1 ]
Krammer, P [1 ]
机构
[1] Univ Vienna, Inst Theoret Phys, A-1090 Vienna, Austria
来源
PHYSICAL REVIEW A | 2005年 / 72卷 / 05期
关键词
D O I
10.1103/PhysRevA.72.052331
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We study the connection between the Hilbert-Schmidt measure of entanglement (that is the minimal distance of an entangled state to the set of separable states) and entanglement witness in terms of a generalized Bell inequality which distinguishes between entangled and separable states. A method for checking the nearest separable state to a given entangled one is presented. We illustrate the general results by considering isotropic states, in particular two-qubit and two-qutrit states-and their generalizations to arbitrary dimensions-where we calculate the optimal entanglement witnesses explicitly.
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页数:9
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