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Quantum
Information and Computation
ISSN: 1533-7146
published since 2001
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Vol.14 No.13&14 October 2014 |
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Multiplicativity of superoperator norms for some entanglement breaking
channels
(pp1203-1212)
Christopher
King
doi:
https://doi.org/10.26421/QIC14.13-14-10
Abstracts:
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 ≥ 1. In this paper we
consider the related question of multiplicativity of the 2→ q norm for q
> 2 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.
Key words:
Multiplicativity, Schatten norms, entanglement breaking
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