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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.

Item Type:	Refereed Article
Keywords:	quantum algorithms, quantum channels, quantum walks, quantum biology, open quantum systems, mathematical phylogenetics, phylogenetics, Markov group, invariant, inference, control shift, Krauss operator
Research Division:	Mathematical Sciences
Research Group:	Mathematical physics
Research Field:	Algebraic structures in mathematical physics
Objective Division:	Expanding Knowledge
Objective Group:	Expanding knowledge
Objective Field:	Expanding knowledge in the mathematical sciences
UTAS Author:	Jarvis, PD (Dr Peter Jarvis)
ID Code:	140411
Year Published:	2019
Funding Support:	Australian Research Council (DP180102215)
Web of Science® Times Cited:	1
Deposited By:	Mathematics
Deposited On:	2020-08-14
Last Modified:	2020-09-02
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