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

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...

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Bibliographic Details
Published in:JETP letters 2021-09, Vol.114 (6), p.354-361
Main Authors: Bogdanov, Yu. I., Bogdanova, N. A., Fastovets, D. V., Lukichev, V. F.
Format: Article
Language:English
Subjects:
Algorithms
Atomic
Biological and Medical Physics
Biophysics
Computer simulation
Molecular
Noise
Optical and Plasma Physics
Particle and Nuclear Physics
Physics
Physics and Astronomy
Quantum computers
Quantum computing
Quantum Informatics
Quantum Information Technology
Schrodinger equation
Solid State Physics
Spintronics
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Summary: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.
ISSN:0021-3640
1090-6487
DOI:10.1134/S0021364021180065