Quantum-information processing with circuit quantum electrodynamics

Alexandre Blais, Jay Gambetta, A. Wallraff, D. I. Schuster, S. M. Girvin, M. H. Devoret, and R. J. Schoelkopf
Phys. Rev. A 75, 032329 – Published 22 March 2007

Abstract

We theoretically study single and two-qubit dynamics in the circuit QED architecture. We focus on the current experimental design [Wallraff et al., Nature (London) 431, 162 (2004); Schuster et al., Nature (London) 445, 515 (2007)] in which superconducting charge qubits are capacitively coupled to a single high-Q superconducting coplanar resonator. In this system, logical gates are realized by driving the resonator with microwave fields. Advantages of this architecture are that it allows for multiqubit gates between non-nearest qubits and for the realization of gates in parallel, opening the possibility of fault-tolerant quantum computation with superconduting circuits. In this paper, we focus on one- and two-qubit gates that do not require moving away from the charge-degeneracy “sweet spot.” This is advantageous as it helps to increase the qubit dephasing time and does not require modification of the original circuit QED. However, these gates can, in some cases, be slower than those that do not use this constraint. Five types of two-qubit gates are discussed, these include gates based on virtual photons, real excitation of the resonator, and a gate based on the geometric phase. We also point out the importance of selection rules when working at the charge degeneracy point.

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  • Received 30 November 2006

DOI:https://doi.org/10.1103/PhysRevA.75.032329

©2007 American Physical Society

Authors & Affiliations

Alexandre Blais1,2, Jay Gambetta1, A. Wallraff1,3, D. I. Schuster1, S. M. Girvin1, M. H. Devoret1, and R. J. Schoelkopf1

  • 1Departments of Applied Physics and Physics, Yale University, New Haven, Connecticut 06520, USA
  • 2Département de Physique et Regroupement Québécois sur les Matériaux de Pointe, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1
  • 3Department of Physics, ETH Zurich, CH-8093 Zürich, Switzerland

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Vol. 75, Iss. 3 — March 2007

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