Quantum Simulation of Phylogenetic Trees
Quantum Physics
2011-05-10 v1 Populations and Evolution
Abstract
Quantum simulations constructing probability tensors of biological multi-taxa in phylogenetic trees are proposed, in terms of positive trace preserving maps, describing evolving systems of quantum walks with multiple walkers. Basic phylogenetic models applying on trees of various topologies are simulated following appropriate decoherent quantum circuits. Quantum simulations of statistical inference for aligned sequences of biological characters are provided in terms of a quantum pruning map operating on likelihood operator observables, utilizing state-observable duality and measurement theory.
Cite
@article{arxiv.1105.1582,
title = {Quantum Simulation of Phylogenetic Trees},
author = {Demosthenes Ellinas and Peter Jarvis},
journal= {arXiv preprint arXiv:1105.1582},
year = {2011}
}
Comments
4 pages, uses revtex