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- W2962749437 abstract "The holographic transformation, belief propagation and loop calculus are generalized to problems in generalized probabilistic theories including quantum mechanics. In this work, the partition function of classical factor graph is represented by an inner product of two high-dimensional vectors both of which can be decomposed to tensor products of low-dimensional vectors. On the representation, the holographic transformation is clearly understood by using adjoint linear maps. Furthermore, on the formulation using inner product, the belief propagation is naturally defined from the derivation of the loop calculus formula. As a consequence, the holographic transformation, the belief propagation and the loop calculus are generalized to measurement problems in quantum mechanics and generalized probabilistic theories." @default.
- W2962749437 created "2019-07-30" @default.
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- W2962749437 date "2015-06-01" @default.
- W2962749437 modified "2023-09-26" @default.
- W2962749437 title "Holographic transformation, belief propagation and loop calculus for generalized probabilistic theories" @default.
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- W2962749437 doi "https://doi.org/10.1109/isit.2015.7282625" @default.
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