Optimal purifications and fidelity for displaced thermal states

Physics – Quantum Physics

Scientific paper

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published version

Scientific paper

10.1103/PhysRevA.76.054307

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.

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