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arXiv quant-ph/0504226quant-ph
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基于距离的量子场偏振度

Distance-based degrees of polarization for a quantum field

A. B. Klimov, L. L. Sanchez-Soto, E. C. Yustas, J. Soderholm, G. Bjork

摘要:

非偏振光对于任何SU(2)偏振变换都是不变的,这是公认的。这一要求充分表征了表示非偏振态的一组密度矩阵。我们引入一个量子态的偏振度作为它到非偏振态集合的距离。我们使用两个不同的候选人的距离,即希尔伯特-施密特和Bures度量,表明它们诱导从根本上不同程度的偏振。我们将这些概念应用到相关的场状态,我们证明,他们避免了一些问题所产生的经典定义。

英文摘要:

It is well established that unpolarized light is invariant with respect to any SU(2) polarization transformation. This requirement fully characterizes the set of density matrices representing unpolarized states. We introduce the degree of polarization of a quantum state as its distance to the set of unpolarized states. We use two different candidates of distance, namely the Hilbert-Schmidt and the Bures metric, showing that they induce fundamentally different degrees of polarization. We apply these notions to relevant field states and we demonstrate that they avoid some of the problems arising with the classical definition.

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