Factor graphs for quantum probabilities
HA Loeliger, PO Vontobel - IEEE Transactions on Information …, 2017 - ieeexplore.ieee.org
HA Loeliger, PO Vontobel
IEEE Transactions on Information Theory, 2017•ieeexplore.ieee.orgA 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 q, and it is demonstrated how
the basic concepts of quantum mechanics relate to factorizations and marginals of q.
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 q, and it is demonstrated how
the basic concepts of quantum mechanics relate to factorizations and marginals of q.
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 q, and it is demonstrated how the basic concepts of quantum mechanics relate to factorizations and marginals of q.
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