有限群的广义波粒二象性关系
A generalized wave-particle duality relation for finite groups
摘要：
波粒二象性关系表达了这样一个事实，即关于粒子所采取的路径的知识抑制了关于其波动性质的信息，特别是其产生干涉图案的能力。最近，已经提出了对偶关系，其中的类波性质的量化使用的措施，量子相干性。量子相干性可以推广到一种称为群不对称性的性质。在这里，我们得到了一个广义的对偶关系，涉及组的不对称性，这是密切相关的成功概率之间的行动区分一个组的元素。对偶关系中的第二个量，即推广哪条路信息的量，与构成群表示的不可约表示的信息有关。
英文摘要：
Wave-particle duality relations express the fact that knowledge about the path a particle took suppresses information about its wave-like properties, in particular, its ability to generate an interference pattern. Recently, duality relations in which the wave-like properties are quantified by using measures of quantum coherence have been proposed. Quantum coherence can be generalized to a property called group asymmetry. Here we derive a generalized duality relation involving group asymmetry, which is closely related to the success probability of discriminating between the actions of the elements of a group. The second quantity in the duality relation, the one generalizing which-path information, is related to information about the irreducible representations that make up the group representation.
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