Entanglement and purity of two-mode Gaussian states in noisy channels

Alessio Serafini; Fabrizio Illuminati; Matteo G. A. Paris; Silvio De Siena

doi:10.1103/PhysRevA.69.022318

Entanglement and purity of two-mode Gaussian states in noisy channels

Alessio Serafini, Fabrizio Illuminati, Matteo G. A. Paris, and Silvio De Siena

Phys. Rev. A 69, 022318 – Published 25 February 2004

Abstract

We study the evolution of purity, entanglement, and total correlations of general two-mode continuous variable Gaussian states in arbitrary uncorrelated Gaussian environments. The time evolution of purity, von Neumann entropy, logarithmic negativity, and mutual information is analyzed for a wide range of initial conditions. In general, we find that a local squeezing of the bath leads to a faster degradation of purity and entanglement, while it can help to preserve the mutual information between the modes.

Received 13 October 2003

DOI:https://doi.org/10.1103/PhysRevA.69.022318

Authors & Affiliations

Alessio Serafini^1,*, Fabrizio Illuminati^1,†, Matteo G. A. Paris^2,3,‡, and Silvio De Siena^1,§

¹Dipartimento di Fisica “E. R. Caianiello,” Università di Salerno, INFM UdR Salerno, INFN Sezione di Napoli, Gruppo Collegato Salerno, Via S. Allende, 84081 Baronissi (SA), Italy
²Dipartimento di Fisica, Università di Milano, Milano, Italy
³Dipartimento di Fisica “A. Volta,” Università di Pavia, Pavia, Italy

^*Electronic address: serale@sa.infn.it
^†Electronic address: illuminati@sa.infn.it
^‡Electronic address: matteo.paris@fisica.unimi.it
^§Electronic address: desiena@sa.infn.it

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Vol. 69, Iss. 2 — February 2004

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