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MiS Preprint
99/2019

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

Zhaoqi Wu, Lin Zhang, Shao-Ming Fei and Xianqing Li-Jost

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 $\frac{1}{2}$ 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.

Received:
Oct 30, 2019
Published:
Dec 4, 2019
PACS:
03.65.Ud, 03.67.-a, 03.75.Gg
Keywords:
Average coherence, skew information, random quantum states, typicality

Related publications

inJournal
2021 Repository Open Access
Zhaoqi Wu, Lin Zhang, Shao-Ming Fei and Xianqing Li-Jost

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

In: Journal of physics / A, 54 (2021) 1, p. 015302