Separability and entanglement of four-mode Gaussian states

2007/09/01 by Vladimir I. Man'ko, Vladimir I. Man’ko, Alexandr A. Sergeevich +1 · 8 citations
Computer Science · Physics and Astronomy · #Dispersion (optics) #Gaussian #Matrix (chemical analysis) #Multipartite entanglement #Peres–Horodecki criterion #Principal (computer security) #Quantum Information and Cryptography #Quantum and Classical Electrodynamics #Quantum entanglement #Quantum optics and atomic interactions #Scaling #quant-ph

paper · pdf · doi:10.1007/s10946-007-0039-y

published in Journal of Russian Laser Research 28(5), 516-528 (Springer Science+Business Media) · 14 pages, 11 figures

openalex publication_date 2007/09/01 · arxiv created 2009/03/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The known Peres-Horodecki criterion and scaling criterion of separability are considered on examples of three-mode and four-mode Gaussian states of electromagnetic field. It is shown that the principal minors of the photon quadrature dispersion matrix are sensitive to the change of scaling parameters. An empirical observation has shown that the bigger the modulus of negative principal minors, the more entangled the state.

Citations

• Inseparability Criteria for Continuous Bipartite Quantum States
• Stochastic Dynamics of Quantum-Mechanical Systems
• Separability Criterion for Density Matrices
• Inseparability Criterion for Continuous Variable Systems
• Separability of mixed states: necessary and sufficient conditions
• Peres-Horodecki Separability Criterion for Continuous Variable Systems
• On the Quantum Correction For Thermodynamic Equilibrium

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