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Quantum channel simulation of phylogenetic branching models
journal contributionposted on 2023-05-20, 16:56 authored by Ellinas, D, Peter JarvisPeter Jarvis
Quantum channel simulations constructing probability tensors for biological multi-taxa in phylogenetics are proposed. These are given in terms of positive trace preserving maps (quantum channels), operating on quantum density matrices, using evolving systems of quantum walks with multiple walkers. Simulation of a variety of standard phylogenetic branching models, applying on trees of various topologies, is constructed using appropriate decoherent quantum circuits. For the sequences of biological characters so modelled, quantum simulations of statistical inference for them are constructed, given appropriate aligned molecular sequence data. This is achieved by the introduction of a quantum pruning map, operating on likelihood operator observables, utilizing state-observable duality and quantum measurement theory. More general stategies for related quantum simulation targets are also discussed.
Australian Research Council
Publication titleJournal of Physics A: Mathematical and Theoretical
Department/SchoolSchool of Natural Sciences
PublisherInstitute of Physics Publishing Ltd.
Place of publicationUnited Kingdom
Rights statementCopyright 2019 IOP Publishing Ltd.