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.
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Manuscript submitted by the authors in English on August 30, 2007.
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Man’ko, V.I., Sergeevich, A.A. Separability and entanglement of four-mode Gaussian states. J Russ Laser Res 28, 516–528 (2007). https://doi.org/10.1007/s10946-007-0039-y
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DOI: https://doi.org/10.1007/s10946-007-0039-y