Average skew information-based coherence and its typicality for random quantum states

• URL: http://arxiv.org/abs/2101.07427v1
• Date: Tue, 19 Jan 2021 02:51:48 GMT
• Title: Average skew information-based coherence and its typicality for random quantum states
• Authors: Zhaoqi Wu, Lin Zhang, Shao-Ming Fei, Xianqing Li-Jost
• Abstract summary: We show 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.
• Score: 3.7298088649201353
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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