Comparison of information structures and completely positive maps

Eran Shmaya*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


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 languageEnglish (US)
Pages (from-to)9717-9727
Number of pages11
JournalJournal of Physics A: Mathematical and General
Issue number44
StatePublished - Nov 4 2005

ASJC Scopus subject areas

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


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