Continuous variable methods in relativistic quantum information: Characterisation of quantum and classical correlations of scalar field modes in noninertial frames
arXiv:1205.0222 · doi:10.1088/0264-9381/29/22/224002
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.
23 pages, 3 figures. v2: Setting clarified. To appear in Class. Quantum Grav. Special Issue on `Relativistic Quantum Information'
References in corpus (14)
- The Unruh effect and its applications
- Entanglement in continuous variable systems: Recent advances and current perspectives
- Entanglement of Dirac fields in non-inertial frames
- Hawking radiation from ultrashort laser pulse filaments
- Gaussian measures of entanglement versus negativities: the ordering of two-mode Gaussian states
- Continuous variable tangle, monogamy inequality, and entanglement sharing in Gaussian states of continuous variable systems
- Optimal quantum estimation of the Unruh-Hawking effect
- Entanglement in an expanding spacetime
- Continuous variable entanglement sharing in non-inertial frames
- Entanglement between the future and past in the quantum vacuum
- Entangling moving cavities in non-inertial frames
- Gaussian localizable entanglement
- Einstein-Podolsky-Rosen correlations between two uniformly accelerated oscillators
- Hawking-Unruh effect and the entanglement of two-mode squeezed states in Riemannian spacetime