Non-Gaussianity of quantum states: An experimental test on single-photon-added coherent states

Non Gaussian states and processes are useful resources in quantum information with continuous variables. An experimentally accessible criterion has been proposed to measure the degree of non Gaussianity of quantum states, based on the conditional entropy of the state with a Gaussian reference. Here...

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Bibliographic Details
Published in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2010-12, Vol.82 (6), Article 063833
Main Authors: Barbieri, Marco, Spagnolo, Nicolò, Genoni, Marco G., Ferreyrol, Franck, Blandino, Rémi, Paris, Matteo G. A., Grangier, Philippe, Tualle-Brouri, Rosa
Format: Article
Language:English
Subjects:
ANNIHILATION OPERATORS
BOSONS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
EIGENSTATES
ELEMENTARY PARTICLES
ENTROPY
INFORMATION
MASSLESS PARTICLES
MATHEMATICAL OPERATORS
PHOTONS
PHYSICAL PROPERTIES
Physics
QUANTUM INFORMATION
QUANTUM OPERATORS
Quantum Physics
QUANTUM STATES
RELIABILITY
SENSITIVITY
THERMODYNAMIC PROPERTIES
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Summary:Non Gaussian states and processes are useful resources in quantum information with continuous variables. An experimentally accessible criterion has been proposed to measure the degree of non Gaussianity of quantum states, based on the conditional entropy of the state with a Gaussian reference. Here we adopt such criterion to characterise an important class of non classical states, single-photon added coherent states. Our studies demonstrate the reliability and sensitivity of this measure, and use it to quantify how detrimental is the role of experimental imperfections in our realisation.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.82.063833