English

Metrics Of Quantum States

Quantum Physics 2009-02-01 v4

Abstract

In this paper, we study metrics of quantum states. These metrics are natural generalization of trace metric and Bures metric. We will prove that the metrics are joint convex and contractive under quantum operation. Our results can find important application in studying the geometry of quantum states and is useful to detect entanglement.

Keywords

Cite

@article{arxiv.0812.3016,
  title  = {Metrics Of Quantum States},
  author = {Zhi-Hao Ma and Fu-Lin Zhang and Jing-Ling Chen},
  journal= {arXiv preprint arXiv:0812.3016},
  year   = {2009}
}
R2 v1 2026-06-21T11:52:35.075Z