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arXiv quant-ph/0406110quant-ph
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量子关联如何增强互补测量的预测

How quantum correlations enhance prediction of complementary measurements

R. Filip, M. Gavenda, J. Soubusta, A. Cernoch, M. Dusek

摘要:

如果两个量子比特之间存在相关性,那么其中一个量子比特的测量结果可以帮助预测另一个量子比特的测量结果。这是一个有趣的问题,关于第一个量子比特上的两个互补投影测量的结果可以预测什么。为了量化这些预测,使用互补的\emph{knowledge excesses}。一个非平凡的约束,限制他们的派生。对于任何混合状态和任意测量的知识过剩是有界的一个因素,只取决于最大违反贝尔不等式。这一结果在通过自发参量下转换制备的双光子维尔纳态上得到了实验验证。

英文摘要:

If there are correlations between two qubits then the results of the measurement on one of them can help to predict measurement results on the other one. It is an interesting question what can be predicted about the results of two complementary projective measurements on the first qubit. To quantify these predictions the complementary \emph{knowledge excesses} are used. A non-trivial constraint restricting them is derived. For any mixed state and for arbitrary measurements the knowledge excesses are bounded by a factor depending only on the maximal violation of Bell's inequalities. This result is experimentally verified on two-photon Werner states prepared by means of spontaneous parametric down-conversion.

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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