dorsal/arxiv
View SchemaYet another additivity conjecture
| Authors | Keiji Matsumoto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506052 |
| URL | https://arxiv.org/abs/quant-ph/0506052 |
| DOI | 10.1016/j.physleta.2005.10.028 |
Abstract
It is known that the additivity conjecture of Holevo capacity, output minimum entoropy, and the entanglement of formation (EoF), are equivalent with each other. Among them, the output minimum entropy is simplest, and hence many researchers are focusing on this quantity. Here, we suggest yet another entanglement measure, whose strong superadditivity and additivity are equivalent to the additivity of the quantities mentioned above. This quantity is as simple as the output minimum entropy, and in existing proofs of additivity conjecture of the output minimum entropy for the specific examples, they are essentially proving the strong superadditivity of this quantity.
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"abstract": "It is known that the additivity conjecture of Holevo capacity, output minimum\nentoropy, and the entanglement of formation (EoF), are equivalent with each\nother. Among them, the output minimum entropy is simplest, and hence many\nresearchers are focusing on this quantity.\n Here, we suggest yet another entanglement measure, whose strong\nsuperadditivity and additivity are equivalent to the additivity of the\nquantities mentioned above. This quantity is as simple as the output minimum\nentropy, and in existing proofs of additivity conjecture of the output minimum\nentropy for the specific examples, they are essentially proving the strong\nsuperadditivity of this quantity.",
"arxiv_id": "quant-ph/0506052",
"authors": [
"Keiji Matsumoto"
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"quant-ph"
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"doi": "10.1016/j.physleta.2005.10.028",
"title": "Yet another additivity conjecture",
"url": "https://arxiv.org/abs/quant-ph/0506052"
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