dorsal/arxiv
View SchemaQuantum channel capacities - multiparty communication
| Authors | Maciej Demianowicz, Pawel Horodecki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0603106 |
| URL | https://arxiv.org/abs/quant-ph/0603106 |
| DOI | 10.1103/PhysRevA.74.042336 |
| Journal | Phys. Rev. A 74, 042336 (2006) |
Abstract
We analyze different aspects of multiparty communication over quantum memoryless channels and generalize some of key results known from bipartite channels to that of multiparty scenario. In particular, we introduce multiparty versions of minimal subspace transmission fidelity and entanglement transmission fidelity. We also provide alternative, local, versions of fidelities and show their equivalence to the global ones in context of capacity regions defined. The equivalence of two different capacity notions with respect to two types of the fidelities is proven. In analogy to bipartite case it is shown, via sufficiency of isometric encoding theorem, that additional classical forward side channel does not increase capacity region of any quantum channel with $k$ senders and $m$ receivers which represents a compact unit of general quantum networks theory. The result proves that recently provided capacity region of multiple access channel ([M. Horodecki et al, Nature {\bf 436} 673 (2005)], [J.Yard et al, quant-ph/0501045]) is optimal also in the scenario of additional support of forward classical communication.
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"abstract": "We analyze different aspects of multiparty communication over quantum\nmemoryless channels and generalize some of key results known from bipartite\nchannels to that of multiparty scenario. In particular, we introduce multiparty\nversions of minimal subspace transmission fidelity and entanglement\ntransmission fidelity. We also provide alternative, local, versions of\nfidelities and show their equivalence to the global ones in context of capacity\nregions defined. The equivalence of two different capacity notions with respect\nto two types of the fidelities is proven. In analogy to bipartite case it is\nshown, via sufficiency of isometric encoding theorem, that additional classical\nforward side channel does not increase capacity region of any quantum channel\nwith $k$ senders and $m$ receivers which represents a compact unit of general\nquantum networks theory. The result proves that recently provided capacity\nregion of multiple access channel ([M. Horodecki et al, Nature {\\bf 436} 673\n(2005)], [J.Yard et al, quant-ph/0501045]) is optimal also in the scenario of\nadditional support of forward classical communication.",
"arxiv_id": "quant-ph/0603106",
"authors": [
"Maciej Demianowicz",
"Pawel Horodecki"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.74.042336",
"journal_ref": "Phys. Rev. A 74, 042336 (2006)",
"title": "Quantum channel capacities - multiparty communication",
"url": "https://arxiv.org/abs/quant-ph/0603106"
},
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