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

TL;DR

This paper investigates how quantum noise impacts the accuracy of simulating the Schrödinger equation on quantum computers using the Zalka-Wiesner method, with implications for quantum device development.

Contribution

It analyzes the effects of quantum noise on simulation accuracy and demonstrates methods to predict and improve precision in quantum computations of dynamic systems.

Findings

Quantum noise significantly affects simulation accuracy.

The developed algorithms can predict error levels.

Results aid in designing high-precision quantum control methods.

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 Schrodinger equation with allowance for quantum noise for a particle moving in the Poschl-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.