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arXiv 1712.03475quant-ph
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经典态和量子态的内禀相干度

Intrinsic degree of coherence of classical and quantum states

Abu S Musa Patoary, Girish Kulkarni, Anand K. Jha

摘要:

在光的二维(2D)偏振态的上下文中,偏振度P2等于在所有可能的基上的相干度的最大值。因此,P2可以称为2D状态的固有相干度。除了(i)最大程度的一致性解释之外,P2还具有以下解释:(ii)它是状态和最大非相干单位状态之间的Frobenius距离,(iii)它是表示状态的布洛赫向量的范数,(iv)它是到具有等于状态的本征值的量值的点质量的配置中的质心的距离,(v)它是偏振干涉实验中的可见度;(vi)它是态的纯部分的权重。在这六个解释的P2,布洛赫矢量范数,Frobenius距离,和质心的解释先前已被推广到推导出一个类似的N维(ND)状态的独立于基底的措施PN。在这篇文章中,通过将可见性、相干度和纯部分权重的概念扩展到ND空间,我们证明了P2的这三种剩余解释也推广到相同的量PN,将PN确定为ND态的内在相干度。然后我们将PN扩展到N -> Infinity极限,以量化无限维态在轨道角动量(OAM),光子数和位置动量自由度中的内在相干度P_Infinity。

英文摘要:

In the context of the 2-dimensional (2D) polarization states of light, the degree of polarization P2 is equal to the maximum value of the degree of coherence over all possible bases. Therefore, P2 can be referred to as the intrinsic degree of coherence of a 2D state. In addition to (i) the maximum degree of coherence interpretation, P2 also has the following interpretations: (ii) it is the Frobenius distance between the state and the maximally incoherent identity state, (iii) it is the norm of the Bloch-vector representing the state, (iv) it is the distance to the center-of-mass in a configuration of point masses with magnitudes equal to the eigenvalues of the state, (v) it is the visibility in a polarization interference experiment, and (vi) it is the weightage of the pure part of the state. Among these six interpretations of P2, the Bloch vector norm, Frobenius distance, and center of mass interpretations have previously been generalized to derive an analogous basis-independent measure PN for N-dimensional (ND) states. In this article, by extending the concepts of visibility, degree of coherence, and weightage of pure part to ND spaces, we show that these three remaining interpretations of P2 also generalize to the same quantity PN , establishing PN as the intrinsic degree of coherence of ND states. We then extend PN to the N -> Infinity limit to quantify the intrinsic degree of coherence P_Infinity of infinite-dimensional states in the orbital angular momentum (OAM), photon number, and position-momentum degrees of freedom.

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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