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Quantum Simulation Entanglement Theory Quantum Correlations

Multiplicativity of superoperator norms for some entanglement breaking channels

arXiv

Authors: Christopher King

Year

2013

Paper ID

31301

Status

Preprint

Abstract Read

~2 min

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Abstract

It is known that the minimal output entropy is additive for any product of entanglement breaking (EB) channels. The same is true for the Renyi entropy, where additivity is equivalent to multiplicativity of the 1 → q norm for all q ge 1. In this paper we consider the related question of multiplicativity of the 2 → q norm for entanglement breaking channels. We prove that multiplicativity holds in this case for certain classes of EB channels, including both the CQ and QC channels.

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This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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It is known that the minimal output entropy is additive for any product of entanglement breaking (EB) channels.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1310.5990 [2] arXiv https://arxiv.org/abs/1310.5990 [3] Publisher https://arxiv.org/abs/1310.5990

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