Lower bounds on the entanglement of formation for general Gaussian states

Journal Article · Thu Jan 01 04:00:00 EST 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.69.012307· OSTI ID:20640587

Rigolin, G; Escobar, C O ^[1]

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1. Departamento de Raios Cosmicos e Cronologia, Instituto de Fisica Gleb Wataghin, Universidade Estadual de Campinas, Caixa Postal 6165, Codigo de Enderecamento Postal 13084-971, Campinas, Sao Paulo (Brazil)

We derive two lower bounds on entanglement of formation for arbitrary mixed Gaussian states by two distinct methods. To achieve the first one we use a local measurement procedure that symmetrizes a general Gaussian state and the fact that entanglement cannot increase under local operations and classical communications. The second one is obtained via a generalization to mixed states of an interesting result already known for pure states, which says that squeezed states are those that, for a fixed amount of entanglement, maximize Einstein-Podolsky-Rosen-like correlations.

• OSTI ID: 20640587
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 69; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
COMMUNICATIONS
CORRELATIONS
ENERGY LEVELS
GAUSS FUNCTION
INFORMATION THEORY
MIXED STATE
QUANTUM MECHANICS