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Title: Quantum-information processing with circuit quantum electrodynamics

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., ibid. 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 superconducting 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.

Authors:
 [1];  [2]; ; ; ; ;  [1];  [1];  [3]
  1. Departments of Applied Physics and Physics, Yale University, New Haven, Connecticut 06520 (United States)
  2. (Canada)
  3. (Switzerland)
Publication Date:
OSTI Identifier:
20982275
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.75.032329; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; INFORMATION THEORY; JOSEPHSON EFFECT; MICROWAVE RADIATION; MODIFICATIONS; PHOTONS; QUANTUM COMPUTERS; QUANTUM ELECTRODYNAMICS; QUANTUM MECHANICS; QUBITS; RESONATORS; SELECTION RULES

Citation Formats

Blais, Alexandre, Departement de Physique et Regroupement Quebecois sur les Materiaux de Pointe, Universite de Sherbrooke, Sherbrooke, Quebec J1K 2R1, Gambetta, Jay, Schuster, D. I., Girvin, S. M., Devoret, M. H., Schoelkopf, R. J., Wallraff, A., and Department of Physics, ETH Zurich, CH-8093 Zuerich. Quantum-information processing with circuit quantum electrodynamics. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.75.032329.
Blais, Alexandre, Departement de Physique et Regroupement Quebecois sur les Materiaux de Pointe, Universite de Sherbrooke, Sherbrooke, Quebec J1K 2R1, Gambetta, Jay, Schuster, D. I., Girvin, S. M., Devoret, M. H., Schoelkopf, R. J., Wallraff, A., & Department of Physics, ETH Zurich, CH-8093 Zuerich. Quantum-information processing with circuit quantum electrodynamics. United States. doi:10.1103/PHYSREVA.75.032329.
Blais, Alexandre, Departement de Physique et Regroupement Quebecois sur les Materiaux de Pointe, Universite de Sherbrooke, Sherbrooke, Quebec J1K 2R1, Gambetta, Jay, Schuster, D. I., Girvin, S. M., Devoret, M. H., Schoelkopf, R. J., Wallraff, A., and Department of Physics, ETH Zurich, CH-8093 Zuerich. Thu . "Quantum-information processing with circuit quantum electrodynamics". United States. doi:10.1103/PHYSREVA.75.032329.
@article{osti_20982275,
title = {Quantum-information processing with circuit quantum electrodynamics},
author = {Blais, Alexandre and Departement de Physique et Regroupement Quebecois sur les Materiaux de Pointe, Universite de Sherbrooke, Sherbrooke, Quebec J1K 2R1 and Gambetta, Jay and Schuster, D. I. and Girvin, S. M. and Devoret, M. H. and Schoelkopf, R. J. and Wallraff, A. and Department of Physics, ETH Zurich, CH-8093 Zuerich},
abstractNote = {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., ibid. 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 superconducting 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.},
doi = {10.1103/PHYSREVA.75.032329},
journal = {Physical Review. A},
number = 3,
volume = 75,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}