Everything You Always Wanted to Know About Quantum Circuits

TL;DR

This paper provides a comprehensive overview of quantum circuits, detailing gate types, resource costs, and applications like arithmetic operations and image rotation, serving as a foundational reference.

Contribution

It offers a systematic presentation of quantum gates, resource evaluation methods, and practical circuit architectures for arithmetic and image processing tasks.

Findings

Resource cost measurement techniques for quantum circuits

Quantum circuit architectures for basic arithmetic functions

Application of quantum circuits to image rotation

Abstract

In this work, we provide an overview of circuits for quantum computing. We introduce gates used in quantum computation and then present resource cost measurements used to evaluate circuits made from these gates. We then illustrate how the gates shown are then combined into quantum circuits for basic arithmetic functions. Architectures for addition, subtraction, multiplication, and division are shown. We demonstrate how to calculate the resource costs of quantum circuits. We conclude this overview with by illustrating an application of the elementary quantum circuits for the image rotation operation.