极值量子态及其Majorana星座
Extremal quantum states and their Majorana constellations
摘要：
光的量子偏振的表征需要知道斯托克斯变量的所有矩，这些矩被适当地编码在密度矩阵的多极展开中。我们研究这些多极子的累积分布，并计算出相应的极端纯态。我们发现SU（2）相干态在任意阶数下都是最大的，而在不同的光子数范围内，我们研究了最小相干态的相反情况（可以看作是最量子的相干态）.利用马约拉纳表示，我们重铸的问题，均匀分布的庞加莱球的表面上的一些点。
英文摘要：
The characterization of quantum polarization of light requires knowledge of all the moments of the Stokes variables, which are appropriately encoded in the multipole expansion of the density matrix. We look into the cumulative distribution of those multipoles and work out the corresponding extremal pure states. We find that SU(2) coherent states are maximal to any order whereas the converse case of minimal states (which can be seen as the most quantum ones) is investigated for a diverse range of the number of photons. Taking advantage of the Majorana representation, we recast the problem as that of distributing a number of points uniformly over the surface of the Poincare sphere.
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