Abstract
We introduce examples of three- and four-mode entangled Gaussian mixed states that are not detected by the scaling and Peres–Horodecki separability criteria. The presented modification of the scaling criterion resolves this problem. Also it is shown that the new criterion reproduces the main features of the scaling pictures for different cases of entangled states, while the previous versions lead to completely different outcomes. This property of the presented scheme is evidence of its higher generality.
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Partially presented by Vladimir I. Man’ko at the oral issue of Journal of Russian Laser Research in honor of Prof. Anatoly S. Chirkin on the occasion of his 70th birthday, held at the M. V. Lomonosov Moscow State University on May 15, 2009.
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Sergeevich, A., Man’ko, V.I. Scaling separability criterion: application to Gaussian states. J Russ Laser Res 30, 609–614 (2009). https://doi.org/10.1007/s10946-009-9115-9
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DOI: https://doi.org/10.1007/s10946-009-9115-9