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arXiv 0901.2232quant-phcond-mat.mes-hall
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双光子散斑作为多维纠缠的探针

Two-photon speckle as a probe of multi-dimensional entanglement

C. W. J. Beenakker, J. W. F. Venderbos, M. P. van Exter

摘要:

本文计算了光子对电流I_2通过随机介质产生的散斑图的统计分布P_2(I_2),并与单光子散斑分布P_1(I_1)进行了比较。我们证明了双光子密度矩阵ρ的纯度Tr ρ ^2可以直接从P_1和P_2的前两个矩中提取出来。当光子对处于M维纠缠纯态时,P_1和P_2之间存在一一对应的关系。当M>>1时,单光子散斑消失,而双光子散斑获得指数分布。当量子纠缠退化为经典的M>>1双光子态关联时,指数分布变为高斯分布.因此,双光子散斑可以区分多维量子关联和经典关联。

英文摘要:

We calculate the statistical distribution P_2(I_2) of the speckle pattern produced by a photon pair current I_2 transmitted through a random medium, and compare with the single-photon speckle distribution P_1(I_1). We show that the purity Tr rho^2 of a two-photon density matrix rho can be directly extracted from the first two moments of P_1 and P_2. A one-to-one relationship is derived between P_1 and P_2 if the photon pair is in an M-dimensional entangled pure state. For M>>1 the single-photon speckle disappears, while the two-photon speckle acquires an exponential distribution. The exponential distribution transforms into a Gaussian if the quantum entanglement is degraded to a classical correlation of M>>1 two-photon states. Two-photon speckle can therefore discriminate between multi-dimensional quantum and classical correlations.

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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