Bures and Statistical Distance for Squeezed Thermal States

Abstract

We compute the Bures distance between two thermal squeezed states and deduce the Statistical Distance metric. By computing the curvature of this metric we can identify regions of parameter space most sensitive to changes in these parameters and thus lead to optimum detection statistics.

15 pages, 1 figure (not included - obtain from Author) To appear in Journal of Physics A

Cited by in corpus (41)

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• Renyi relative entropies of quantum Gaussian states
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• Process output nonclassicality and nonclassicality depth of quantum-optical channels
• Quantum Chernoff bound as a measure of nonclassicality for one-mode Gaussian states
• The Scalar Curvature of the Bures Metric on the Space of Density Matrices
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• Optimal purifications and fidelity for displaced thermal states
• Bures Geometry of the Three-Level Quantum Systems. I
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• Adaptive Phase Estimation with Squeezed Vacuum Approaching the Quantum Limit
• Mixed-state fidelity susceptibility through iterated commutator series expansion
• High-Temperature Expansions of Bures and Fisher Information Priors
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