QOperAv, a Code Generator for Generating Quantum Circuits for Evaluating Certain Quantum Operator Averages

TL;DR

QOperAv v1.5 is a Java-based code generator that creates quantum circuits to efficiently evaluate averages of functions of Hermitian operators, leveraging quantum phase estimation and multiplexors.

Contribution

It introduces a new software tool that automates quantum circuit generation for specific operator average evaluations, integrating established quantum algorithms.

Findings

Efficient polynomial-time quantum circuit generation for certain operator averages.

Implementation of the algorithm in a freely available Java application.

Utilizes standard quantum techniques like phase estimation and multiplexors.

Abstract

This paper introduces QOperAv v1.5, a Java application available for free. (Source code included in the distribution.) QOperAv is a "code generator" for generating quantum circuits. The quantum circuits generated by QOperAv can be used to evaluate with polynomial efficiency the average of $f(A)$ for some simple (that is, computable with polynomial efficiency) function $f$ and a Hermitian operator $A$, provided that we know how to compile $\exp(iA)$ with polynomial efficiency. QOperAv implements an algorithm described in earlier papers, that combines various standard techniques such as quantum phase estimation and quantum multiplexors.