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• W4283211097 abstract "We present the Hafnian Master Theorem which is a hafnian's generalization of the classical Permanent Master Theorem of MacMahon. It discloses an easy-to-compute generating function for the hafnians related to a remarkable class of multivariate random variables whose sampling and probability density function are ♯P-hard for computing. The theorem provides a pathway to a unified analysis of the nature's ♯P-hard problems, including problems in quantum computing, computer science, theory of computational complexity, combinatorics, statistics, cryptography, theory of graphs, number theory, physics of many-body systems, critical phenomena, quantum field theory, etc." @default.
• W4283211097 created "2022-06-22" @default.
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• W4283211097 date "2022-10-01" @default.
• W4283211097 modified "2023-10-14" @default.
• W4283211097 title "The Hafnian Master Theorem" @default.
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• W4283211097 doi "https://doi.org/10.1016/j.laa.2022.06.021" @default.
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