English

Optimal purifications and fidelity for displaced thermal states

Quantum Physics 2009-11-13 v2

Abstract

We evaluate the Uhlmann fidelity between two one-mode displaced thermal states as the maximal probability transition between appropriate purifications of the given states. The optimal purifications defining the fidelity are proved to be two-mode displaced Gaussian states.

Cite

@article{arxiv.0706.3204,
  title  = {Optimal purifications and fidelity for displaced thermal states},
  author = {Paulina Marian and Tudor A. Marian},
  journal= {arXiv preprint arXiv:0706.3204},
  year   = {2009}
}
R2 v1 2026-06-21T08:40:49.461Z