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arXiv · 2103.03124

Ultimate Limits to Computation: Anharmonic Oscillator

Fatemeh Khorasani·Mohammad Reza Tanhayi·Reza Pirmoradian
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Abstract

Motivated by studies of ultimate speed of computers, we examine the question of minimum time of orthogonalization in a simple anharmonic oscillator and find an upper bound on the rate of computations. Furthermore, we investigate the growth rate of complexity of operation when the system undergoes a definite perturbation. At the phase space of the parameters, by numerical analysis, we find the critical point where beyond that the rate of complexity changes its behavior.

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Fatemeh Khorasani, Mohammad Reza Tanhayi, Reza Pirmoradian. 2021-03-04. Ultimate Limits to Computation: Anharmonic Oscillator. https://doi.org/10.1140/epjp/s13360-022-02900-7

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