混合态完整论
Mixed State Holonomies
摘要：
Sjoqvist，Pati，Ekert，Anandan，Ericsson，Oi和Vedral（Phys.Rev.Lett. 85，2845 [2000]）最近“提供了一种基于干涉测量的物理处方，用于引入经历幺正演化的混合态的总相位，这在过去是一个难以捉摸的概念”。他们指出，“乌尔曼可能是第一个解决混合状态完整性问题的人，但这是一个纯粹的数学问题”。我们研究这些“实验”和“数学”的方法之间可能的关系，通过检查各种量子理论的情况。我们发现，这两种方法，在一般情况下，产生不等价的结果。
英文摘要：
Sjoqvist, Pati, Ekert, Anandan, Ericsson, Oi and Vedral (Phys. Rev. Lett. 85, 2845 [2000]) have recently "provided a physical prescription based on interferometry for introducing the total phase of a mixed state undergoing unitary evolution, which has been an elusive concept in the past". They note that "Uhlmann was probably the first to address the issue of mixed state holonomy, but as a purely mathematical problem". We investigate possible relationships between these "experimental" and "mathematical" approaches, by examining various quantum-theoretic scenarios. We find that the two methodologies, in general, yield inequivalent outcomes.
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