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Average skew information-based coherence and its typicality for random quantum states.
- Source :
- Journal of Physics A: Mathematical & Theoretical; 1/8/2021, Vol. 54 Issue 1, p1-20, 20p
- Publication Year :
- 2021
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17518113
- Volume :
- 54
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Physics A: Mathematical & Theoretical
- Publication Type :
- Academic Journal
- Accession number :
- 148020603
- Full Text :
- https://doi.org/10.1088/1751-8121/abcab7