Continuous variable methods in relativistic quantum information: characterization of quantum and classical correlations of scalar field modes in noninertial frames

2012/05/31 by Gerardo Adesso, Sammy Ragy, Davide Girolami
Computer Science · Mathematics · Physics and Astronomy · #Quantum Electrodynamics and Casimir Effect #Quantum Information and Cryptography #Quantum Mechanics and Applications #gr-qc #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1088/0264-9381/29/22/224002

published as Class. Quantum Grav. 29 (2012) 224002 · 23 pages, 3 figures. v2: Setting clarified. To appear in Class. Quantum Grav. Special Issue on `Relativistic Quantum Information'

arxiv created 2012/06/25 · openalex publication_date 2012/10/18 · arxiv updated 2012/10/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We review a recently introduced unified approach to the analytical quantification of correlations in Gaussian states of bosonic scalar fields by means of Renyi-2 entropy. This allows us to obtain handy formulae for classical, quantum, total correlations, as well as bipartite and multipartite entanglement. We apply our techniques to the study of correlations between two modes of a scalar field as described by observers in different states of motion. When one or both observers are in uniform acceleration, the quantum and classical correlations are degraded differently by the Unruh effect, depending on which mode is detected. Residual quantum correlations, in the form of quantum discord without entanglement, may survive in the limit of an infinitely accelerated observer Rob, provided they are revealed in a measurement performed by the inertial Alice.

Citations

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