Average coherence and its typicality for random mixed quantum states
Quantum Physics
2017-03-22 v2 Mathematical Physics
math.MP
Abstract
Wishart ensemble is a useful and important random matrix model used in diverse fields. By realizing induced random mixed quantum states as Wishart ensemble with the fixed-trace one, using matrix integral technique we give a fast track to the average coherence for random mixed quantum states induced via partial-tracing of the Haar-distributed bipartite pure states. As a direct consequence of this result, we get a compact formula of the average subentropy of random mixed states. These obtained compact formulae extend our previous work.
Keywords
Cite
@article{arxiv.1607.02294,
title = {Average coherence and its typicality for random mixed quantum states},
author = {Lin Zhang},
journal= {arXiv preprint arXiv:1607.02294},
year = {2017}
}
Comments
v2: 18 pages, minor errors and misprints are corrected, final version, accepted for publication in J. Phys. A; v1: 17 pages, LaTeX, no figures. Any comments are welcome!