A Practical Method of Constructing Quantum Combinational Logic Circuits

TL;DR

This paper presents a practical method for constructing quantum combinational logic circuits using basic quantum gates and Karnaugh maps to optimize circuit efficiency for quantum computing implementations.

Contribution

It introduces a systematic approach to design quantum logic circuits with optimized rules for Karnaugh map application, tailored for quantum logic.

Findings

Efficient quantum circuit construction rules are established.

Karnaugh map modifications for quantum logic are explained.

Method improves circuit design for quantum computers.

Abstract

We describe a practical method of constructing quantum combinational logic circuits with basic quantum logic gates such as NOT and general $n$-bit Toffoli gates. This method is useful to find the quantum circuits for evaluating logic functions in the form most appropriate for implementation on a given quantum computer. The rules to get the most efficient circuit are utilized best with the aid of a Karnaugh map. It is explained which rules of using a Karnaugh map are changed due to the difference between the quantum and classical logic circuits.