Quantum approach to the dynamical systems modeling

Yu. I. Bogdanov; N. A. Bogdanova; D. V. Fastovets; V. F. Lukichev

doi:10.1117/12.2522426

15 March 2019 Quantum approach to the dynamical systems modeling

Yu. I. Bogdanov, N. A. Bogdanova, D. V. Fastovets, V. F. Lukichev

Proceedings Volume 11022, International Conference on Micro- and Nano-Electronics 2018; 110222Q (2019) https://doi.org/10.1117/12.2522426
Event: The International Conference on Micro- and Nano-Electronics 2018, 2018, Zvenigorod, Russian Federation

Abstract

We present a general approach to the classical dynamical systems simulation. This approach is based on classical systems extension to quantum states. The proposed theory can be applied to analysis of multiple (including nonHamiltonian) dissipative dynamical systems. As examples, we consider the logistic model, the Van der Pol oscillator, dynamical systems of Lorenz, Rössler (including Rössler hyperchaos) and Rabinovich-Fabrikant. Developed methods and algorithms integrated in quantum simulators will allow us to solve a wide range of problems with scientific and practical significance.

Citation Download Citation

Yu. I. Bogdanov, N. A. Bogdanova, D. V. Fastovets, and V. F. Lukichev "Quantum approach to the dynamical systems modeling", Proc. SPIE 11022, International Conference on Micro- and Nano-Electronics 2018, 110222Q (15 March 2019); https://doi.org/10.1117/12.2522426

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