Measuring q-bits in three-trophic level systems |
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| Institution: | 1. Queensland University of Technology, GPO Box 2434, Brisbane, Australia;2. Eindhoven University of Technology, Eindhoven, The Netherlands;3. Massey University, Albany, New Zealand;1. Rangelands Ecologist, USDA Natural Resources Conservation Service, Jornada Experimental Range, Las Cruces, NM 88003, USA.;2. Research Leader, Agriculture Research Service, Jornada Experimental Range, Las Cruces, NM 88003, USA.;1. University of São Paulo, “Luiz de Queiroz” College of Agriculture, Av. Pádua Dias, 11 - Cx. Postal 9, Piracicaba, SP CEP 13418-900, PABX, Brazil;2. Low Carbon Agriculture Platform/ Embrapa Environment, Cx. Postal 69, 13820 -000 Jaguariúna, SP, Brazil;1. Inria Saclay, CentraleSupélec, Université Paris-Saclay & Inria Sophia-Antipolis, Biocore and McTao teams, Université Côte d’Azur (UCA), France;2. Inria Saclay, Disco team, Université Paris-Saclay, CentraleSupélec, L2S (CNRS), France;3. Inria, Mamba team and Sorbonne Université, Paris 6, UPMC, Laboratoire Jacques-Louis Lions, Paris, France;4. Department of Electrical Engineering and Systems at the School of Electrical Engineering, Tel-Aviv, Israel;5. Sorbonne Université, GRC n7, Groupe de Recherche Clinique sur les Myéloproliferations Aiguës et Chroniques, AP-HP, Hôpital Saint-Antoine, Paris F-75012, France |
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| Abstract: | The use of quantum information has been proposed as an approach to deal with biological data (Piqueira, J.R.C., Serboncini, F.A., Monteiro, L.H.A., 2006. Biological models: measuring variability with classical and quantum information. J. Theor. Biol. 242 (2), 309–313). Using three-trophic level systems as examples, we show how to model population data by expressing the system states with q-bits. The system time evolution is given by the state transition matrices which relate the states to successive time intervals. It is a complementary way of looking at the problem which is usually modeled with deterministic differential equations. This is possible because the dynamics of interacting populations in three-trophic level systems is a problem with several coupled variables and, consequently, complex dynamical behaviors seem to result. The non deterministic dynamics generated by the state transition matrices is supposed to model the biological system as a whole, with real data expressing even the global effects of small disturbances in the ecological parameters. |
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