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Solution of the Schrödinger Equation on a Quantum Computer by the Zalka–Wiesner Method Including Quantum Noise

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The simulation of quantum systems on a quantum computer using the Zalka–Wiesner algorithm including quantum noise has been considered. The efficiency of developed methods and algorithms has been demonstrated by example of the solution of the time-dependent Schrödinger equation for a particle in the Pöschl–Teller potential. The developed analytical theory of the effect of quantum noise on the accuracy of simulation has been compared with Monte Carlo simulations. The accuracy of the solution of the Schrödinger equation for a many-electron system has been forecasted as a function of the number of electrons and for different levels of noise.

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Funding

This work was supported by the Ministry of Science and Higher Education of the Russian Federation (state assignment no. 0066-2019-0005 for the Institute of Physics and Technology, Russian Academy of Sciences) and by the Foundation for the Advancement of Theoretical Physics and Mathematics BASIS (project no. 20-1-1-34-1).

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Authors and Affiliations

  1. Valiev Institute of Physics and Technology, Russian Academy of Sciences, 117218, Moscow, Russia

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

Authors
  1. Yu. I. Bogdanov
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  2. N. A. Bogdanova
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  3. D. V. Fastovets
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  4. V. F. Lukichev
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Corresponding author

Correspondence to Yu. I. Bogdanov.

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Translated by R. Tyapaev

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Bogdanov, Y.I., Bogdanova, N.A., Fastovets, D.V. et al. Solution of the Schrödinger Equation on a Quantum Computer by the Zalka–Wiesner Method Including Quantum Noise. Jetp Lett. 114, 354–361 (2021). https://doi.org/10.1134/S0021364021180065

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  • DOI: https://doi.org/10.1134/S0021364021180065

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