Comparison of information structures and completely positive maps

Eran Shmaya

doi:10.1088/0305-4470/38/44/008

Comparison of information structures and completely positive maps

Eran Shmaya^*

^*Corresponding author for this work

Managerial Economics, Decision Sciences and Operations

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

A theorem of Blackwell about comparison between information structures in classical statistics is given as an analogue in the quantum probabilistic set-up. 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.

Original language	English (US)
Pages (from-to)	9717-9727
Number of pages	11
Journal	Journal of Physics A: Mathematical and General
Volume	38
Issue number	44
DOIs	https://doi.org/10.1088/0305-4470/38/44/008
State	Published - Nov 4 2005

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Physics and Astronomy(all)

Access to Document

10.1088/0305-4470/38/44/008

Cite this

@article{bd1e522a22bd4f6e8b33606f297d4fa2,

title = "Comparison of information structures and completely positive maps",

abstract = "A theorem of Blackwell about comparison between information structures in classical statistics is given as an analogue in the quantum probabilistic set-up. 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.",

author = "Eran Shmaya",

year = "2005",

month = nov,

day = "4",

doi = "10.1088/0305-4470/38/44/008",

language = "English (US)",

volume = "38",

pages = "9717--9727",

journal = "Journal of Physics A: Mathematical and Theoretical",

issn = "1751-8113",

publisher = "IOP Publishing Ltd.",

number = "44",

}

TY - JOUR

T1 - Comparison of information structures and completely positive maps

AU - Shmaya, Eran

PY - 2005/11/4

Y1 - 2005/11/4

N2 - A theorem of Blackwell about comparison between information structures in classical statistics is given as an analogue in the quantum probabilistic set-up. 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.

AB - A theorem of Blackwell about comparison between information structures in classical statistics is given as an analogue in the quantum probabilistic set-up. 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.

UR - http://www.scopus.com/inward/record.url?scp=27144465416&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=27144465416&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/38/44/008

DO - 10.1088/0305-4470/38/44/008

M3 - Article

AN - SCOPUS:27144465416

SN - 1751-8113

VL - 38

SP - 9717

EP - 9727

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 44

ER -

Comparison of information structures and completely positive maps

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this