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arXiv quant-ph/0412113quant-ph
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量子比特通道,实现两种状态的容量

Qubit channels that achieve capacity with two states

Dominic W. Berry

摘要:

本文考虑了一类量子比特信道,其中三个状态总是足以实现Holevo容量。对于这些信道,已知存在两个正交状态就足够、需要两个非正交状态或需要三个状态的情况。这里给出了一个系统的理论,它提供的标准来区分情况下,两个状态是足够的,并确定这两个状态是否应该是正交或非正交的。此外,我们证明了一个定理的形式的最佳合奏时,需要三个状态,并提出有效的方法计算Holevo容量。

英文摘要:

This paper considers a class of qubit channels for which three states are always sufficient to achieve the Holevo capacity. For these channels it is known that there are cases where two orthogonal states are sufficient, two non-orthogonal states are required, or three states are necessary. Here a systematic theory is given which provides criteria to distinguish cases where two states are sufficient, and determine whether these two states should be orthogonal or non-orthogonal. In addition, we prove a theorem on the form of the optimal ensemble when three states are required, and present efficient methods of calculating the Holevo capacity.

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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