Correlation matrices of two-mode bosonic systems

Author(s)
Pirandola, Stefano; Serafini, Alessio; Lloyd, Seth
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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.
Date issued
2009-05
URI
http://hdl.handle.net/1721.1/51345
Department
Massachusetts Institute of Technology. Department of Mechanical Engineering; Massachusetts Institute of Technology. Research Laboratory of Electronics
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
ISSN
1094-1622
1050-2947
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