Correlation Matrices of Two-Mode Bosonic Systems

Details Correlation Matrices of Two-Mode Bosonic Systems Correlation Matrices of Two-Mode Bosonic Systems

2009-02-09

arxiv.org/abs/0902.1502v2

Phys. Rev. A 79, 052327 (2009)

Physics

Quantum Physics

11 pages. REVTeX

Scientific paper

10.1103/PhysRevA.79.052327

We present a detailed analysis of all the algebraic conditions an arbitrary 4x4 symmetric matrix must satisfy in order to represent the correlation matrix of a two-mode bosonic system. Then, we completely clarify when this arbitrary matrix can represent the correlation matrix of a separable or entangled Gaussian state. In this analysis, we introduce new and alternative sets of conditions, which are expressed in terms of local symplectic invariants.

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