On the covariance matrix for Gaussian states

2020/03/24 by Angel García-Chung, Garcia-Chung, Angel
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum optics and atomic interactions

paper · pdf · doi:10.48550/arxiv.2003.11063

openalex publication_date 2020/03/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Separability Criterion for Density Matrices

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