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论文类型：期刊论文

发表时间：2016-10-01

发表刊物：ANNALS OF PHYSICS

收录刊物：SCIE、Scopus

卷号：373

页面范围：43-51

ISSN号：0003-4916

关键字：Standard deviation; Quantum coherence; Incompatibility; Quantum superposition

摘要：The standard deviation (SD) quantifies the spread of the observed values on a measurement of an observable. In this paper, we study the distribution of SD among the different components of a superposition state. It is found that the SD of an observable on a superposition state can be well bounded by the SDs of the superposed states. We also show that the bounds also serve as good bounds on coherence of a superposition state. As a further generalization, we give an alternative definition of incompatibility of two observables subject to a given state and show how the incompatibility subject to a superposition state is distributed. (C) 2016 Elsevier Inc. All rights reserved.