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Paper   IPM / P / 17037
School of Particles and Accelerator
  Title:   Ultimate limits to computation: anharmonic oscillator
  Author(s): 
1.  Fatemeh Khorasani
2.  Mohammad Reza Tanhayi
3.  Reza Pirmoradian
  Status:   Published
  Journal: Eur. Phys. J. plus
  No.:  699
  Vol.:  137
  Year:  2022
  Supported by:  IPM
  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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