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General implementation of all possible positive-operator-value measurements of single-photon polarization states

机译:单光子偏振态所有可能的正算子值测量的一般实现

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Positive-operator-value measures (POVM's) are the most general class of quantum measurements. We propose a setup in which all possible POVM's of a single-photon polarization state (corresponding to all possible sets of two-dimensional Kraus operators) can be implemented easily using linear optics elements. This method makes it possible to experimentally realize any projective orthogonal, projective nonorthogonal or nonprojective sets of any number of POVM operators. Furthermore, our implementation only requires vacuum ancillas and is deterministic rather than probabilistic. Thus it realizes every POVM with the correct set of output states. We give the settings required to implement two different well-known nonorthogonal projective POVM's.
机译:正算子值度量(POVM)是最通用的量子度量类别。我们提出了一种设置,其中可以使用线性光学元件轻松实现单光子偏振态的所有可能POVM(对应于所有可能的二维Kraus算子集)。这种方法可以通过实验实现任意数量的POVM算子的任何投影正交,投影非正交或非投影集。此外,我们的实现仅需要真空微镜,并且是确定性的,而不是概率性的。因此,它可实现具有正确输出状态集的每个POVM。我们提供实现两个不同的众所周知的非正交投影POVM所需的设置。

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