Uhlmann fidelity between two-mode Gaussian states

Details Uhlmann fidelity between two-mode Gaussian states Uhlmann fidelity between two-mode Gaussian states

2011-11-30

arxiv.org/abs/1111.7067v1

Physics

Quantum Physics

Comments are welcome

Scientific paper

We show that the Uhlmann fidelity between arbitrary Gaussian states is fully determined by the properties of the product of the two density operators. This one is a non-Hermitian unnormalized Gaussian operator whose trace and symplectic eigenvalues are the only quantities entering the expression of the fidelity for states with any number of modes. Especially useful as a measure of distinguishability in various branches of quantum physics, fidelity between arbitrary two-mode Gaussian states is finally written and discussed.

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