# Circuit QED: implementation of the three-qubit refined Deutsch–Jozsa quantum algorithm

Circuit QED: implementation of the three-qubit refined Deutsch–Jozsa quantum algorithm We propose a protocol to construct the 35 $$f$$ f -controlled phase gates of a three-qubit refined Deutsch–Jozsa (DJ) algorithm, by using single-qubit $$\sigma _z$$ σ 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

# Circuit QED: implementation of the three-qubit refined Deutsch–Jozsa quantum algorithm

Quantum Information Processing, Volume 13 (12) – Sep 20, 2014
14 pages

/lp/springer_journal/circuit-qed-implementation-of-the-three-qubit-refined-deutsch-jozsa-pvqfQvjwNF
Publisher
Springer Journals
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-014-0829-4
Publisher site
See Article on Publisher Site

### Abstract

We propose a protocol to construct the 35 $$f$$ f -controlled phase gates of a three-qubit refined Deutsch–Jozsa (DJ) algorithm, by using single-qubit $$\sigma _z$$ σ 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.

### Journal

Quantum Information ProcessingSpringer Journals

Published: Sep 20, 2014

### References

• Atomic physics and quantum optics using superconducting circuits
You, JQ; Nori, F
• Hybrid quantum circuits: superconducting circuits interacting with other quantum systems
Xiang, ZL; Ashhab, S; You, JQ; Nori, F
• Superconducting quantum bits
Clarke, J; Wilhelm, FK
• Improved superconducting qubit coherence using titanium nitride
Chang, JB
• Demonstration of two-qubit algorithms with a superconducting quantum processor
DiCarlo, L
• Implementation of a Toffoli gate with superconducting circuits
Fedorov, A; Steffen, L; Baur, M; daSilva, MP; Wallraff, A
• Realization of three-qubit quantum error correction with superconducting circuits
Reed, MD

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