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两比特密度矩阵纠缠的鲁棒性

Robustness of entanglement for two qubit density matrix

S. J. Akhtarshenas, M. A. Jafarizadeh

摘要:

通过考虑Wootters [W. K. Wootters,Phys. Rev. Lett. { \bf 80} 2245(1998)]中,用代数方法得到了两量子比特系统任意混合态纠缠的鲁棒性。结果表明,纠缠的鲁棒性与纠缠度成正比,在Bell可分解的密度矩阵中,纠缠的鲁棒性与纠缠度成正比。我们还给出了两个可分态的解析表达式,使它们之间的纠缠完全消失。由于由此获得的鲁棒性是分解中向量范数的函数,我们给出了分解的明确参数化。

英文摘要:

By considering the decomposition of a generic two qubit density matrix presented by Wootters [W. K. Wootters, Phys. Rev. Lett. {\bf 80} 2245 (1998)], the robustness of entanglement for any mixed state of two qubit systems is obtained algebraically. It is shown that the robustness of entanglement is proportional to concurrence and in Bell decomposable density matrices it is equal to the concurrence. We also give an analytic expression for two separable states which wipe out all entanglement of these states. Since thus obtained robustness is function of the norm of the vectors in the decomposition we give an explicit parameterization for the decomposition.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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