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Quantum
Information and Computation
ISSN: 1533-7146
published since 2001
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Vol.3 No.2, March 2003 |
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Maximal
p-norms of entanglement breaking channels
(pp186-190)
C. King
doi:
https://doi.org/10.26421/QIC3.2-9
Abstracts:
It shown that when one
of the components of a product channel is entanglement breaking, the
output state with maximal p-norm is always a product state. This result
complements Shor's theorem that both minimal entropy and Holevo capacity
are additive for entanglement breaking channels. It is also shown how
Shor's results can be recovered from the p-norm results by considering
their behavior for p close to one.
Key words:
entanglement-breaking channel, trace norm, Lieb-Thirring inequality
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