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We give a quantum-inspired Opn 4 q algorithm computing the Tutte polynomial of a lattice path matroid, where n is the size of the ground set of the matroid. Furthermore, this can be improved to Opn 2 q arithmetic operations if we evaluate the Tutte polynomial on a given input, fixing the values of the variables. The best existing algorithm, found in 2004,… (More)

The computational cost of counting the number of solutions satisfying a Boolean formula, which is a problem instance of #SAT, has proven subtle to quantify. Even when finding individual satisfying solutions is compu-tationally easy (e.g. 2-SAT, which is in P), determining the number of solutions is #P-hard. Recently, computational methods simulating quantum… (More)

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