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arXiv 1502.06312quant-ph
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利用最大纠缠对局域结果之间的相关性表征测量不确定性

Characterization of measurement uncertainties using the correlations between local outcomes obtained from maximally entangled pairs

Shota Kino, Taiki Nii, Holger F. Hofmann

摘要:

非对易观测量的联合测量的特点是不可避免的测量不确定性,可以描述在输入状态的误差统计与目标观测量的定义明确的值。然而,测量误差的完整表征必须包括两个可观测量误差之间的相关性。在这里,我们表明,这些相关性出现在实验上观察到的测量统计通过执行联合测量最大纠缠对。对于二能级系统,结果表明,量子理论要求X和Y的测量误差之间存在虚关联,因为这些关联在测量算符中用算符乘积XY=iZ表示.因此,我们的分析揭示了量子测量统计中不可对易性的一个直接可观察的结果。

英文摘要:

Joint measurements of non-commuting observables are characterized by unavoidable measurement uncertainties that can be described in terms of the error statistics for input states with well-defined values for the target observables. However, a complete characterization of measurement errors must include the correlations between the errors of the two observables. Here, we show that these correlations appear in the experimentally observable measurement statistics obtained by performing the joint measurement on maximally entangled pairs. For two-level systems, the results indicate that quantum theory requires imaginary correlations between the measurement errors of X and Y since these correlations are represented by the operator product XY=iZ in the measurement operators. Our analysis thus reveals a directly observable consequence of non-commutativity in the statistics of quantum measurements.

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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