Gaussian quantum computation with oracle-decision problems

TL;DR

This paper demonstrates that Gaussian wave functions improve the performance of simple harmonic oscillator quantum computers in solving oracle decision problems, exemplified by the Deutsch-Jozsa problem, by reducing error rates compared to traditional orthogonal encodings.

Contribution

It introduces Gaussian wave functions as a superior encoding method for quantum computation in harmonic oscillators, enhancing decision accuracy over existing orthogonal approaches.

Findings

Gaussian modulation lowers error rates in the Deutsch-Jozsa problem

Nonorthogonal Gaussian wave functions outperform orthogonal top-hat functions

Optimized Gaussian width improves the information processing trade-off

Abstract

We study a simple-harmonic-oscillator quantum computer solving oracle decision problems. We show that such computers can perform better by using nonorthogonal Gaussian wave functions rather than orthogonal top-hat wave functions as input to the information encoding process. Using the Deutsch-Jozsa problem as an example, we demonstrate that Gaussian modulation with optimized width parameter results in a lower error rate than for the top-hat encoding. We conclude that Gaussian modulation can allow for an improved trade-off between encoding, processing and measurement of the information.