77 research outputs found
Factor Graphs for Quantum Probabilities
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 .Comment: To appear in IEEE Transactions on Information Theory, 201
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