dorsal/arxiv
View SchemaTwo-way quantum communication channels
| Authors | Andrew M. Childs, Debbie W. Leung, Hoi-Kwong Lo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506039 |
| URL | https://arxiv.org/abs/quant-ph/0506039 |
| DOI | 10.1142/S0219749906001621 |
| Journal | International Journal of Quantum Information, Vol. 4, No. 1 (2006) 63-83 |
Abstract
We consider communication between two parties using a bipartite quantum operation, which constitutes the most general quantum mechanical model of two-party communication. We primarily focus on the simultaneous forward and backward communication of classical messages. For the case in which the two parties share unlimited prior entanglement, we give inner and outer bounds on the achievable rate region that generalize classical results due to Shannon. In particular, using a protocol of Bennett, Harrow, Leung, and Smolin, we give a one-shot expression in terms of the Holevo information for the entanglement-assisted one-way capacity of a two-way quantum channel. As applications, we rederive two known additivity results for one-way channel capacities: the entanglement-assisted capacity of a general one-way channel, and the unassisted capacity of an entanglement-breaking one-way channel.
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"abstract": "We consider communication between two parties using a bipartite quantum\noperation, which constitutes the most general quantum mechanical model of\ntwo-party communication. We primarily focus on the simultaneous forward and\nbackward communication of classical messages. For the case in which the two\nparties share unlimited prior entanglement, we give inner and outer bounds on\nthe achievable rate region that generalize classical results due to Shannon. In\nparticular, using a protocol of Bennett, Harrow, Leung, and Smolin, we give a\none-shot expression in terms of the Holevo information for the\nentanglement-assisted one-way capacity of a two-way quantum channel. As\napplications, we rederive two known additivity results for one-way channel\ncapacities: the entanglement-assisted capacity of a general one-way channel,\nand the unassisted capacity of an entanglement-breaking one-way channel.",
"arxiv_id": "quant-ph/0506039",
"authors": [
"Andrew M. Childs",
"Debbie W. Leung",
"Hoi-Kwong Lo"
],
"categories": [
"quant-ph"
],
"doi": "10.1142/S0219749906001621",
"journal_ref": "International Journal of Quantum Information, Vol. 4, No. 1 (2006)\n 63-83",
"title": "Two-way quantum communication channels",
"url": "https://arxiv.org/abs/quant-ph/0506039"
},
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