Distinguishability and nonclassicality of one-mode Gaussian states

Journal Article · Sun Feb 01 04:00:00 EST 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.69.022104· OSTI ID:20640677

Marian, Paulina ^[1]; Marian, Tudor A ^[1]; Scutaru, Horia ^[2]

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1. Institute for Theoretical Atomic, Molecular, and Optical Physics, Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts 02138 (United States)
2. Center for Advanced Studies in Physics of the Romanian Academy, Calea 13 Septembrie 13, R-050711 Bucharest (Romania)

We consider the class of the one-mode Gaussian states of the quantum radiation field. The relative entropy of such a state with respect to a similar one is derived. We analyze the entropic amount of nonclassicality of a Gaussian state defined as the minimal relative entropy of any classical Gaussian state with respect to it. A similar quantity built with the Hilbert-Schmidt distance is also calculated. Both nonclassicality measures are then compared with the Bures-metric degree of nonclassicality evaluated previously. The properties of the closest classical Gaussian state, as well as the decrease of the nonclassicality under thermal noise mappings are carefully examined in each case. For mixed states we find that only the Bures-distance amount of nonclassicality is equivalent to the nonclassical depth.

• OSTI ID: 20640677
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 69; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
DISTANCE
ENERGY LEVELS
ENTROPY
GAUSSIAN PROCESSES
MAPPING
MIXED STATE
NOISE
OPTICS