Binegativity and geometry of entangled states in two qubits

被引:39
作者
Ishizaka, S
机构
[1] Japan Sci & Technol Agcy, PRESTO, Kawaguchi, Saitama, Japan
[2] NEC Corp Ltd, Fundamental Res Labs, Tsukuba, Ibaraki 305, Japan
来源
PHYSICAL REVIEW A | 2004年 / 69卷 / 02期
关键词
D O I
10.1103/PhysRevA.69.020301
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We prove that the binegativity is always positive for any two-qubit state. As a result, and as suggested by previous work, the asymptotic relative entropy of entanglement in two qubits does not exceed the Rains bound, and the positive partial transposed-entanglement cost for any two-qubit state is determined to be the logarithmic negativity of the state. Further, the proof reveals some geometrical characteristics of the entangled states, and shows that partial transposition can give another separable approximation of the entangled state in two qubits.
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页数:4
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