Proposal for implementing the three-qubit refined Deutsch-Jozsa quantum algorithm

TL;DR

This paper presents a practical implementation method for a three-qubit refined Deutsch-Jozsa quantum algorithm using standard quantum gates, suitable for various physical systems, enhancing experimental feasibility.

Contribution

It introduces a construction of 35 controlled phase gates using only single-qubit and standard two-qubit gates, enabling practical realization of the three-qubit refined DJ algorithm.

Findings

Implementation using single-qubit $\sigma_z$ and two-qubit CP gates

Experimental feasibility demonstrated in various physical systems

Applicable to cavity-based and noncavity-based systems

Abstract

We propose a way to implement a three-qubit refined Deutsh-Jozsa (DJ) algorithm. The present proposal is based on the construction of the 35 $f$-controlled phase gates, which uses single-qubit $\sigma_z$ gates and two-qubit {\it standard} controlled-phase (CP) gates only. This proposal is implementable because a single-qubit $\sigma_z$ gate can be easily realized by applying a single classical pulse and a two-qubit CP gate has been experimentally demonstrated in various physical systems. Finally, it is noted that this proposal is quite general, and can be applied to implement a three-qubit refined DJ algorithm in a cavity-based or noncavity-based physical system.