Modewise entanglement of Gaussian states

Journal Article · Thu May 01 04:00:00 EDT 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.67.052311· OSTI ID:20636360

Botero, Alonso; Reznik, Benni ^[1]

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1. Departamento de Fisica, Universidad de Los Andes, Apartado Aereo 4976, Bogota (Colombia)

We address the decomposition of a multimode pure Gaussian state with respect to a bipartite division of the modes. For any such division the state can always be expressed as a product state involving entangled two-mode squeezed states and single-mode local states at each side. The character of entanglement of the state can therefore be understood modewise; that is, a given mode on one side is entangled with only one corresponding mode of the other, and therefore the total bipartite entanglement is the sum of the modewise entanglement. This decomposition is generally not applicable to all mixed Gaussian states. However, the result can be extended to a special family of 'isotropic' states, characterized by a phase space covariance matrix with a completely degenerate symplectic spectrum.

• OSTI ID: 20636360
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 67; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
CORRELATIONS
ENERGY LEVELS
ENERGY SPECTRA
MATRICES
PHASE SPACE
QUANTUM MECHANICS