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Quantum channel simulation of phylogenetic branching models
Citation
Ellinas, D and Jarvis, PD, Quantum channel simulation of phylogenetic branching models, Journal of Physics A: Mathematical and Theoretical, 52, (11) Article 115601. ISSN 1751-8113 (2019) [Refereed Article]
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Copyright Statement
Copyright 2019 IOP Publishing Ltd.
DOI: doi:10.1088/1751-8121/ab0313
Abstract
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 Details
Item Type: | Refereed Article |
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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 |
Downloads: | 5 View Download Statistics |
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