Modelling of q-deformed harmonic oscilator on quantum computer
M. I. Samar, V. M. Tkachuk
TL;DR
This paper demonstrates a quantum simulation method for q-deformed harmonic oscillators using IBM quantum computers, enabling the detection of energy levels for both deformed and anharmonic oscillators.
Contribution
It introduces a novel quantum simulation approach for q-deformed oscillators on IBM quantum hardware, including energy level detection techniques.
Findings
Successful simulation of q-deformed harmonic oscillator energy levels
Extension to anharmonic oscillators demonstrated
Method applicable to other deformed quantum systems
Abstract
We present a method of a quantum simulation of a quantum harmonic oscillator in a special case of the deformed commutation relation, which corresponds to the so-called q-deformed oscillator on an IBM quantum computer. Using the method of detection of energy levels of a spin system on a quantum computer by probe spin evolution we obtain the energy levels of both the q-deformed quantum harmonic and anharmonic oscillators.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum many-body systems · Quantum Information and Cryptography