Study of the effect of quantum noise on the accuracy of the Schrödinger equation simulation on a quantum computer using the Zalka-Wiesner method

Yu. I. Bogdanov; N. A. Bogdanova; D. V. Fastovets; V. F. Lukichev

doi:10.1117/12.2624305

30 January 2022 Study of the effect of quantum noise on the accuracy of the Schrödinger equation simulation on a quantum computer using the Zalka-Wiesner method

Yu. I. Bogdanov, N. A. Bogdanova, D. V. Fastovets, V. F. Lukichev

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Proceedings Volume 12157, International Conference on Micro- and Nano-Electronics 2021; 1215727 (2022) https://doi.org/10.1117/12.2624305
Event: International Conference on Micro- and Nano-Electronics 2021, 2021, Zvenigorod, Russian Federation

Abstract

The study of the effect of quantum noise on the accuracy of modeling quantum systems on a quantum computer using the Zalka-Wiesner method is carried out. The efficiency of the developed methods and algorithms is demonstrated by the example of solving the nonstationary Schrödinger equation with allowance for quantum noise for a particle moving in the Pöschl–Teller potential. The analysis and prediction of accuracy for the Zalka-Wiesner method are carried out taking into account the complexity of the quantum system and the strength of quantum noise. In our opinion, the considered problem provides a useful test for assessing the quality and efficiency of quantum computing devices on various physical platforms currently being developed. The obtained results are essential for the development of high-precision methods for controlling the technologies of quantum computations.

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Yu. I. Bogdanov, N. A. Bogdanova, D. V. Fastovets, and V. F. Lukichev "Study of the effect of quantum noise on the accuracy of the Schrödinger equation simulation on a quantum computer using the Zalka-Wiesner method", Proc. SPIE 12157, International Conference on Micro- and Nano-Electronics 2021, 1215727 (30 January 2022); https://doi.org/10.1117/12.2624305

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KEYWORDS

Quantum computing

Fourier transforms

Quantum communications

Computer simulations

Systems modeling

Monte Carlo methods

Quantum physics

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