Ultimate Limits to Computation: Anharmonic Oscillator

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...

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Veröffentlicht in:arXiv.org 2023-01
Hauptverfasser: Khorasani, Fatemeh, Tanhayi, Mohammad Reza, Pirmoradian, Reza
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Pirmoradian, Reza
description 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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subjects Anharmonicity
Complexity
Perturbation
Physics - High Energy Physics - Theory
Physics - Quantum Physics
Quantum computing
Quantum theory
Upper bounds
title Ultimate Limits to Computation: Anharmonic Oscillator
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