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Estimating the output entropy of a tensor product of two quantum channels

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Abstract

For a class of bipartite quantum states, we find a nontrivial lower bound on the entropy gain resulting from the action of a tensor product of the identity channel with an arbitrary channel. We use the obtained result to bound the output entropy of the tensor product of a dephasing channel with an arbitrary channel from below. We characterize phase-damping channels that are particular cases of dephasing channels.

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Authors and Affiliations

  1. Steklov Mathematical Institute, RAS, Moscow, Russia

    G. G. Amosov

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  1. G. G. Amosov
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Correspondence to G. G. Amosov.

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Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 182, No. 3, pp. 453–464, March, 2015.

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Amosov, G.G. Estimating the output entropy of a tensor product of two quantum channels. Theor Math Phys 182, 397–406 (2015). https://doi.org/10.1007/s11232-015-0270-6

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  • DOI: https://doi.org/10.1007/s11232-015-0270-6

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