The quantum de Finetti representation for the Bayesian Quantum Tomography and the Quantum Discord
Quantum Physics
2013-07-08 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1303.4993,
title = {The quantum de Finetti representation for the Bayesian Quantum Tomography and the Quantum Discord},
author = {V. S. Shchesnovich and D. S. Mogilevtsev},
journal= {arXiv preprint arXiv:1303.4993},
year = {2013}
}
Comments
We have added as a supplementary material at the end of the manuscript the review reports and our replies, which, as we believe, are very interesting