Average skew information-based coherence and its typicality for random quantum states. (2nd December 2020)

• Record Type: Journal Article
• Authors: Wu, Zhaoqi; Zhang, Lin; Fei, Shao-Ming; Li-Jost, Xianqing
• Is Part Of: Journal of physics. Volume 54:Number 1(2021)
• Publication Date: 2020-12-02
• Subjects: average coherence -- skew information -- random quantum states -- typicality; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/abcab7
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: We study the average skew information-based coherence for both random pure and mixed states. The explicit formulae of the average skew information-based coherence are derived and shown to be the functions of the dimension N of the state space. We demonstrate that as N approaches to infinity, the average coherence is 1 for random pure states, and a positive constant less than 1/2 for random mixed states. We also explore the typicality of average skew information-based coherence of random quantum states. Furthermore, we identify a coherent subspace such that the amount of the skew information-based coherence for each pure state in this subspace can be bounded from below almost always by a fixed number that is arbitrarily close to the typical value of coherence.