Quantum Chernoff bound as a measure of nonclassicality for one-mode Gaussian states

Abstract

We evaluate a Gaussian distance-type degree of nonclassicality for a single-mode Gaussian state of the quantum radiation field by use of the recently discovered quantum Chernoff bound. The general properties of the quantum Chernoff overlap and its relation to the Uhlmann fidelity are interestingly illustrated by our approach.

published version

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Cited by in corpus (8)

• Testing nonclassicality in multimode fields: a unified derivation of classical inequalities
• Quantum degrees of polarization
• Optimal detection of losses by thermal probes
• Hellinger distance as a measure of Gaussian discord
• Quantifying the imaginarity of quantum states via Tsallis relative entropy
• Looking at Shadows of Entanglement Wedges
• Probing light polarization with the quantum Chernoff bound
• A geometric measure of non-classicality