Factor Graphs for Quantum Probabilities
Information Theory
2017-06-13 v3 Artificial Intelligence
math.IT
Statistics Theory
Quantum Physics
Statistics Theory
Abstract
A factor-graph representation of quantum-mechanical probabilities (involving any number of measurements) is proposed. Unlike standard statistical models, the proposed representation uses auxiliary variables (state variables) that are not random variables. All joint probability distributions are marginals of some complex-valued function , and it is demonstrated how the basic concepts of quantum mechanics relate to factorizations and marginals of .
Cite
@article{arxiv.1508.00689,
title = {Factor Graphs for Quantum Probabilities},
author = {Hans-Andrea Loeliger and Pascal O. Vontobel},
journal= {arXiv preprint arXiv:1508.00689},
year = {2017}
}
Comments
To appear in IEEE Transactions on Information Theory, 2017