dorsal/arxiv
View SchemaComparison of Information Structures and Completely Positive Maps
| Authors | E. Shmaya |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410233 |
| URL | https://arxiv.org/abs/quant-ph/0410233 |
| DOI | 10.1088/0305-4470/38/44/008 |
| Journal | J. Phys. A: Math. Gen. 38 (2005) 9717-9727 |
Abstract
A theorem of Blackwell about comparison between information structures in classical statistics is given an analogue in the quantum probabilistic setup. The theorem provides an operational interpretation for trace-preserving completely positive maps, which are the natural quantum analogue of classical stochastic maps. The proof of the theorem relies on the separation theorem for convex sets and on quantum teleportation.
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"abstract": "A theorem of Blackwell about comparison between information structures in\nclassical statistics is given an analogue in the quantum probabilistic setup.\nThe theorem provides an operational interpretation for trace-preserving\ncompletely positive maps, which are the natural quantum analogue of classical\nstochastic maps. The proof of the theorem relies on the separation theorem for\nconvex sets and on quantum teleportation.",
"arxiv_id": "quant-ph/0410233",
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"E. Shmaya"
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"doi": "10.1088/0305-4470/38/44/008",
"journal_ref": "J. Phys. A: Math. Gen. 38 (2005) 9717-9727",
"title": "Comparison of Information Structures and Completely Positive Maps",
"url": "https://arxiv.org/abs/quant-ph/0410233"
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