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

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.

18 pages, 5 figures, 2 tables, accepted by Quantum Information Processing. arXiv admin note: text overlap with arXiv:1307.1375

References in corpus (10)

• Charge insensitive qubit design derived from the Cooper pair box
• Coupling Superconducting Qubits via a Cavity Bus
• Atomic physics and quantum optics using superconducting circuits
• Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
• Simple pulses for elimination of leakage in weakly nonlinear qubits
• Realization of Three-Qubit Quantum Error Correction with Superconducting Circuits
• Suppressing Charge Noise Decoherence in Superconducting Charge Qubits
• Planar Superconducting Resonators with Internal Quality Factors above One Million
• Implementing the Quantum von Neumann Architecture with Superconducting Circuits
• Using Sideband Transitions for Two-Qubit Operations in Superconducting Circuits