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Ultimate Limits to Computation: Anharmonic Oscillator

Quantum Physics 2023-01-24 v3 High Energy Physics - Theory

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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Cite

@article{arxiv.2103.03124,
  title  = {Ultimate Limits to Computation: Anharmonic Oscillator},
  author = {Fatemeh Khorasani and Mohammad Reza Tanhayi and Reza Pirmoradian},
  journal= {arXiv preprint arXiv:2103.03124},
  year   = {2023}
}

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published version

R2 v1 2026-06-23T23:45:34.336Z