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On the covariance matrix for Gaussian states

Quantum Physics 2020-03-31 v2

Abstract

We show the explicit expression for the covariance matrix of general Gaussian states in terms of the symplectic group matrices. We discuss how the criteria to characterize squeezing and entanglement using the covariance matrix give rise to new criteria in the symplectic matrix elements used to construct the general Gaussian states.

Keywords

Cite

@article{arxiv.2003.11063,
  title  = {On the covariance matrix for Gaussian states},
  author = {Angel Garcia-Chung},
  journal= {arXiv preprint arXiv:2003.11063},
  year   = {2020}
}

Comments

5 pages

R2 v1 2026-06-23T14:25:58.601Z