dorsal/arxiv
View SchemaThe mother of all protocols: Restructuring quantum information's family tree
| Authors | Anura Abeyesinghe, Igor Devetak, Patrick Hayden, Andreas Winter |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0606225 |
| URL | https://arxiv.org/abs/quant-ph/0606225 |
| DOI | 10.1098/rspa.2009.0202 |
| Journal | Proc. R. Soc. A 465(2108):2537-2563, 2009. |
Abstract
We give a simple, direct proof of the "mother" protocol of quantum information theory. In this new formulation, it is easy to see that the mother, or rather her generalization to the fully quantum Slepian-Wolf protocol, simultaneously accomplishes two goals: quantum communication-assisted entanglement distillation, and state transfer from the sender to the receiver. As a result, in addition to her other "children," the mother protocol generates the state merging primitive of Horodecki, Oppenheim and Winter, a fully quantum reverse Shannon theorem, and a new class of distributed compression protocols for correlated quantum sources which are optimal for sources described by separable density operators. Moreover, the mother protocol described here is easily transformed into the so-called "father" protocol whose children provide the quantum capacity and the entanglement-assisted capacity of a quantum channel, demonstrating that the division of single-sender/single-receiver protocols into two families was unnecessary: all protocols in the family are children of the mother.
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"abstract": "We give a simple, direct proof of the \"mother\" protocol of quantum\ninformation theory. In this new formulation, it is easy to see that the mother,\nor rather her generalization to the fully quantum Slepian-Wolf protocol,\nsimultaneously accomplishes two goals: quantum communication-assisted\nentanglement distillation, and state transfer from the sender to the receiver.\nAs a result, in addition to her other \"children,\" the mother protocol generates\nthe state merging primitive of Horodecki, Oppenheim and Winter, a fully quantum\nreverse Shannon theorem, and a new class of distributed compression protocols\nfor correlated quantum sources which are optimal for sources described by\nseparable density operators. Moreover, the mother protocol described here is\neasily transformed into the so-called \"father\" protocol whose children provide\nthe quantum capacity and the entanglement-assisted capacity of a quantum\nchannel, demonstrating that the division of single-sender/single-receiver\nprotocols into two families was unnecessary: all protocols in the family are\nchildren of the mother.",
"arxiv_id": "quant-ph/0606225",
"authors": [
"Anura Abeyesinghe",
"Igor Devetak",
"Patrick Hayden",
"Andreas Winter"
],
"categories": [
"quant-ph"
],
"doi": "10.1098/rspa.2009.0202",
"journal_ref": "Proc. R. Soc. A 465(2108):2537-2563, 2009.",
"title": "The mother of all protocols: Restructuring quantum information\u0027s family tree",
"url": "https://arxiv.org/abs/quant-ph/0606225"
},
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