TY - JOUR
T1 - Measurements and consistent families of quantum channels
AU - Le Jan, Yves
AU - Rebolledo, Rolando
N1 - Funding Information:
The authors kindly acknowledge the support received from MathAmSud exchange program “Stochastic Analysis Research Network” and the Chilean Bicentennial Science Foundation through the grant PBCT-ADI 13.
PY - 2011/9
Y1 - 2011/9
N2 - 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.
AB - 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.
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U2 - 10.1142/S1230161211000169
DO - 10.1142/S1230161211000169
M3 - Article
AN - SCOPUS:84859459664
SN - 1230-1612
VL - 18
SP - 235
EP - 251
JO - Open Systems and Information Dynamics
JF - Open Systems and Information Dynamics
IS - 3
ER -