Thursday, March 21, 2013

1303.4993 (V. S. Shchesnovich et al.)

The quantum de Finetti representation for the Bayesian Quantum
Tomography and the Quantum Discord

V. S. Shchesnovich, D. S. Mogilevtsev
We point out that the quantum de Finetti representation, unique for infinitely extendable exchangeable systems, assigns a non-zero Quantum Discord to uncorrelated systems and thus cannot serve as an universal prior distribution in the Bayesian Quantum Tomography. This apparent paradox stems from linearity of the Born rule for the probability assignment in Quantum Mechanics, which results in mixing of one's knowledge about the quantum state and the representative of the state in one density matrix.
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