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arXiv quant-ph/0410111quant-ph
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用零差探测区分两个单模高斯态:信息论方法

Distinguishing two single-mode Gaussian states by homodyne detection: An information-theoretic approach

Hyunchul Nha, H. J. Carmichael

摘要:

已知量子保真度作为两个量子态接近程度的度量,在操作上等价于两个态在所有可能的POVM上的概率分布的最小重叠;实现最小值的POVM是最优的。我们考虑零差检测区分两个单模高斯态的能力,并研究在何种程度上它是最佳的,在这个信息理论意义上。我们完全确定的条件下,零差检测两个单模高斯状态的相同的平均值之间的最佳区分,并表明,如果高斯状态是纯的,他们总是最佳区分。

英文摘要:

It is known that the quantum fidelity, as a measure of the closeness of two quantum states, is operationally equivalent to the minimal overlap of the probability distributions of the two states over all possible POVMs; the POVM realizing the minimum is optimal. We consider the ability of homodyne detection to distinguish two single-mode Gaussian states, and investigate to what extent it is optimal in this information-theoretic sense. We completely identify the conditions under which homodyne detection makes an optimal distinction between two single-mode Gaussian states of the same mean, and show that if the Gaussian states are pure, they are always optimally distinguished.

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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