Circuit QED: Implementation of the three-qubit refined Deutsch-Jozsa quantum algorithm

TL;DR

This paper presents a protocol for implementing a three-qubit refined Deutsch-Jozsa quantum algorithm using circuit QED with superconducting transmon qutrits, demonstrating feasibility with current technology.

Contribution

It introduces a method to construct all necessary controlled phase gates for the three-qubit DJ algorithm in circuit QED systems.

Findings

Feasible implementation within current circuit QED technology

Protocol for constructing 35 $f$-controlled phase gates

Potential for advancing complex quantum computations

Abstract

We propose a protocol to construct the 35 $f$-controlled phase gates of a three-qubit refined Deutsch-Jozsa (DJ) algorithm, by using single-qubit $\sigma_z$ gates, two-qubit controlled phase gates, and two-target-qubit controlled phase gates. Using this protocol, we discuss how to implement the three-qubit refined DJ algorithm with superconducting transmon qutrits resonantly coupled to a single cavity. Our numerical calculation shows that implementation of this quantum algorithm is feasible within the present circuit QED technique. The experimental realization of this algorithm would be an important step toward more complex quantum computation in circuit QED.