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- Title
Measurements and Consistent Families of Quantum Channels.
- Authors
Le Jan, Yves; Rebolledo, Rolando
- Abstract
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)'. Doing this, we introduce and solve a quantum version of the moment problem.
- Subjects
FAMILIES; QUANTUM theory; PROBABILITY theory; MOMENT problems (Mathematics); OPERATIONAL calculus
- Publication
Open Systems & Information Dynamics (OSID), 2011, Vol 18, Issue 3, p235
- ISSN
1230-1612
- Publication type
Article
- DOI
10.1142/S1230161211000169