Correlation Matrices of Two-Mode Bosonic Systems
Quantum Physics
2009-05-22 v2 Mathematical Physics
math.MP
Optics
Abstract
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.
Keywords
Cite
@article{arxiv.0902.1502,
title = {Correlation Matrices of Two-Mode Bosonic Systems},
author = {Stefano Pirandola and Alessio Serafini and Seth Lloyd},
journal= {arXiv preprint arXiv:0902.1502},
year = {2009}
}
Comments
11 pages. REVTeX