Measurements and consistent families of quantum channels

Yves Le Jan, Rolando Rebolledo

Research output: Contribution to journalArticlepeer-review


This article introduces the notion of consistent families (Λ (n)) n<1 of quantum channels. These families correspond to simultaneous observation of different copies of a given quantum system. Here, we are primarily interested in the analysis of measurements connected with them. As usual, the measurement of a quantum system requires the construction of a classical dilation of the corresponding quantum channel. In our case, the quantum systems represented by (Λ (n)) n<1 are supposed to interact through the measurement instrument only. That is, we construct a classical probability space which allows to have a common dilation for all the Λ (n)'s. Doing this, we introduce and solve a quantum version of the moment problem.

Original languageEnglish (US)
Pages (from-to)235-251
Number of pages17
JournalOpen Systems and Information Dynamics
Issue number3
StatePublished - Sep 2011

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Mathematical Physics

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