Study of using Quantum Computer to Solve Poisson Equation in Gate Insulators

TL;DR

This paper explores the application of quantum computing to solve the Poisson equation in gate insulators, demonstrating potential accuracy improvements in simulation and highlighting challenges on real hardware.

Contribution

It introduces quantum algorithms for Poisson equation solving in gate insulators and analyzes their performance on both simulators and IBM hardware.

Findings

Accurate solutions achieved in QC simulation with increased clock bits and proper evolution time.

Significant accuracy reduction observed on real quantum hardware.

Error correction and more robust circuits are necessary for practical applications.

Abstract

In this paper, the application of quantum computing (QC) in solving gate insulator Poisson equation is studied, through QC simulator and hardware in IBM. Various gate insulator stacks with and without fixed charges are studied. It is found that by increasing the number of clock bits and by choosing appropriate evolution time, accurate solutions can be obtained in QC simulation. However, when the real quantum hardware is used, the accuracy is substantially reduced. Therefore, a more robust quantum circuit or error correction should be employed and developed.