dorsal/arxiv
View SchemaSimplification of additivity conjecture in quantum information theory
| Authors | Motohisa Fukuda |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0608010 |
| URL | https://arxiv.org/abs/quant-ph/0608010 |
| DOI | 10.1007/s11128-007-0051-8 |
| Journal | Quantum Information Processing, Vol. 6, 179-186, (2007) |
Abstract
We simplify some conjectures in quantum information theory; the additivity of minimal output entropy, the multiplicativity of maximal output p-norm and the superadditivity of convex closure of output entropy. We construct a unital channel for a given channel so that they share the above additivity properties; we can reduce the conjectures for all channels to those for unital channels.
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"abstract": "We simplify some conjectures in quantum information theory; the additivity of\nminimal output entropy, the multiplicativity of maximal output p-norm and the\nsuperadditivity of convex closure of output entropy. We construct a unital\nchannel for a given channel so that they share the above additivity properties;\nwe can reduce the conjectures for all channels to those for unital channels.",
"arxiv_id": "quant-ph/0608010",
"authors": [
"Motohisa Fukuda"
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"doi": "10.1007/s11128-007-0051-8",
"journal_ref": "Quantum Information Processing, Vol. 6, 179-186, (2007)",
"title": "Simplification of additivity conjecture in quantum information theory",
"url": "https://arxiv.org/abs/quant-ph/0608010"
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