Journal
PHYSICS LETTERS A
Volume 308, Issue 4, Pages 249-255Publisher
ELSEVIER
DOI: 10.1016/S0375-9601(03)00066-5
Keywords
Hilbert-Schmidt distance; fidelity; pure and mixed states; Fock; coherent and thermal states; Gaussian states
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We introduce a simple measure of classicality of pure and mixed quantum states as a maximum value of the Hilbert-Schmidt scalar products between the renormalized statistical operators of the state concerned and all displaced thermal states. Choosing Fock states as the reference set, we introduce the measure of anticlassicality. Both measures are illustrated for the Fock, coherent phase, and generic mixed Gaussian states. Gaussian states are shown to be the closest to thermal states possessing the same degree of quantum purity. On the contrary, Fock states appear to be more close to mixed thermal states than to pure coherent states. (C) 2003 Elsevier Science B.V. All rights reserved.
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