Correlation matrices of two-mode bosonic systems
Name
Pirandola-2009-Correlation matrices.pdf
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169.47 KB
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Author(s)
Pirandola, Stefano
Serafini, Alessio
Lloyd, Seth
Date Issued
May 2009
Journal
Physical Review A
Publisher
American Physical Society
Citation
Pirandola, Stefano , Alessio Serafini, and Seth Lloyd. “Correlation matrices of two-mode bosonic systems.” Physical Review A 79.5 (2009): 052327. (C) 2010 The American Physical Society.
Version
Final published version
Abstract
We present a detailed analysis of all the algebraic conditions an arbitrary 4×4 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 alternative sets of conditions, which are expressed in terms of local symplectic invariants.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Massachusetts Institute of Technology. Research Laboratory of Electronics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
http://dx.doi.org/10.1103/PhysRevA.79.052327
