Physics – Quantum Physics
Scientific paper
2004-10-27
J. Phys. A: Math. Gen. 38 (2005) 9717-9727
Physics
Quantum Physics
12 pages. Substantial changes. Accepted for publication in Journal of Physics A
Scientific paper
10.1088/0305-4470/38/44/008
A theorem of Blackwell about comparison between information structures in classical statistics is given an analogue in the quantum probabilistic setup. 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.
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