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arXiv 1111.4831cs.ITmath.ITquant-ph
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用KKT方法解析计算量子态无模糊判别的最优POVM

Analytical calculation of optimal POVM for unambiguous discrimination of quantum states using KKT method

N. Karimi

摘要:

本文给出了包含任意数目的具有实内积和复内积的纯线性无关量子态的最优无模糊态鉴别(OPUSD)问题的精确解析解。利用半定规划和Karush-Kuhn-Tucker凸优化方法,导出了一个解析公式,该公式表明了无模糊状态判别问题的最优解与任意数量的纯线性无关量子态之间的关系.

英文摘要:

In the present paper, an exact analytic solution for the optimal unambiguous state discrimination (OPUSD) problem involving an arbitrary number of pure linearly independent quantum states with real and complex inner product is presented. Using semidefinite programming and Karush-Kuhn-Tucker convex optimization method, we derive an analytical formula which shows the relation between optimal solution of unambiguous state discrimination problem and an arbitrary number of pure linearly independent quantum states.

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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