Quantum aspects of evolution: a contribution towards evolutionary explorations of genotype networks via quantum walks

Author:

Santiago-Alarcon Diego1ORCID,Tapia-McClung Horacio2ORCID,Lerma-Hernández Sergio3,Venegas-Andraca Salvador E.4

Affiliation:

1. Red de Biología y Conservación de Vertebrados, Instituto de Ecología, A.C. Carr. Antigua a Coatepec 351, Col. El Haya, C.P. 91070, Xalapa, Veracruz, Mexico

2. Centro de Investigación en Inteligencia Artificial, Universidad Veracruzana, Sebastián Camacho 5, Centro, Xalapa-Enríquez, Veracruz, Mexico

3. Facultad de Física, Universidad Veracruzana, Circuito Aguirre Beltrán s/n, Xalapa, Veracruz 91000, Mexico

4. Tecnologico de Monterrey, Escuela de Ingenieria y Ciencias, Avenue Eugenio Garza Sada 2501, Monterrey 64849, Nuevo Leon, Mexico

Abstract

Quantum biology seeks to explain biological phenomena via quantum mechanisms, such as enzyme reaction rates via tunnelling and photosynthesis energy efficiency via coherent superposition of states. However, less effort has been devoted to study the role of quantum mechanisms in biological evolution. In this paper, we used transcription factor networks with two and four different phenotypes, and used classical random walks (CRW) and quantum walks (QW) to compare network search behaviour and efficiency at finding novel phenotypes between CRW and QW. In the network with two phenotypes, at temporal scales comparable to decoherence time T D , QW are as efficient as CRW at finding new phenotypes. In the case of the network with four phenotypes, the QW had a higher probability of mutating to a novel phenotype than the CRW, regardless of the number of mutational steps (i.e. 1, 2 or 3) away from the new phenotype. Before quantum decoherence, the QW probabilities become higher turning the QW effectively more efficient than CRW at finding novel phenotypes under different starting conditions. Thus, our results warrant further exploration of the QW under more realistic network scenarios (i.e. larger genotype networks) in both closed and open systems (e.g. by considering Lindblad terms).

Funder

Consejo Nacional de Ciencia y Tecnología

Publisher

The Royal Society

Subject

Biomedical Engineering,Biochemistry,Biomaterials,Bioengineering,Biophysics,Biotechnology

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Unitary coined discrete-time quantum walks on directed multigraphs;Quantum Information Processing;2023-06-13

2. Quantum Computation by Biological Systems;IEEE Transactions on Molecular, Biological and Multi-Scale Communications;2023-06

3. A new definition of hitting time and an embedded Markov chain in continuous-time quantum walks;Quantum Information Processing;2023-05-26

4. UVC radiation intensity dependence of pathogen decontamination rate: semiclassical theory and experiment;The European Physical Journal Plus;2022-09-15

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