Measuring q-bits in three-trophic level systems

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.