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The Replica Method and Entropy for a Mixture of Two-Mode Even and Odd Schrödinger Cat States

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Abstract

We review the replica method for calculating the von Neumann entropy and obtain an explicit expression for the entropy of the mixed coherent states |α〉 and |β〉 employing this method. We study the purity inequality for a bipartite system for separable states on the example of even and odd Schrödinger cat state.

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Correspondence to Ivan V. Dudinets.

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Manuscript submitted by the authors in English on May 12, 2015.

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Dudinets, I.V., Man’ko, V.I. The Replica Method and Entropy for a Mixture of Two-Mode Even and Odd Schrödinger Cat States. J Russ Laser Res 36, 251–257 (2015). https://doi.org/10.1007/s10946-015-9497-9

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  • DOI: https://doi.org/10.1007/s10946-015-9497-9

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