Measure of the non-Gaussian character of a quantum state

Journal Article · Mon Oct 15 04:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.042327· OSTI ID:21020696

Genoni, Marco G ^[1]; Paris, Matteo G. A. ^[1]; Banaszek, Konrad ^[2]

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1. Dipartimento di Fisica dell'Universita di Milano, I-20133, Milan (Italy)
2. Institute of Physics, Nicolaus Copernicus University, PL-87-100 Torun (Poland)

We address the issue of quantifying the non-Gaussian character of a bosonic quantum state and introduce a non-Gaussianity measure based on the Hilbert-Schmidt distance between the state under examination and a reference Gaussian state. We analyze in detail the properties of the proposed measure and exploit it to evaluate the non-Gaussianity of some relevant single-mode and multimode quantum states. The evolution of non-Gaussianity is also analyzed for quantum states undergoing the processes of Gaussification by loss and de-Gaussification by photon-subtraction. The suggested measure is easily computable for any state of a bosonic system and allows one to define a corresponding measure for the non-Gaussian character of a quantum operation.

• OSTI ID: 21020696
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 76; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSONS
EVOLUTION
GAUSSIAN PROCESSES
HILBERT SPACE
LOSSES
OPERATION
OPTICS
PHOTONS
QUANTUM MECHANICS
QUANTUM OPERATORS