Detecting non-Abelian geometric phase in circuit QED

Detecting non-Abelian geometric phase in circuit QED We propose a scheme for detecting noncommutative feature of the non-Abelian geometric phase in circuit QED, which involves three transmon qubits capacitively coupled to an one-dimensional transmission line resonator. By controlling the external magnetic flux of the transmon qubits, we can obtain an effective tripod interaction of our circuit QED setup. The noncommutative feature of the non-Abelian geometric phase is manifested that for an initial state undergo two specific loops in different order will result in different final states. Our numerical calculations show that this difference can be unambiguously detected in the proposed system. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Detecting non-Abelian geometric phase in circuit QED

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Publisher
Springer US
Copyright
Copyright © 2013 by Springer Science+Business Media New York
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/s11128-013-0560-6
Publisher site
See Article on Publisher Site

Abstract

We propose a scheme for detecting noncommutative feature of the non-Abelian geometric phase in circuit QED, which involves three transmon qubits capacitively coupled to an one-dimensional transmission line resonator. By controlling the external magnetic flux of the transmon qubits, we can obtain an effective tripod interaction of our circuit QED setup. The noncommutative feature of the non-Abelian geometric phase is manifested that for an initial state undergo two specific loops in different order will result in different final states. Our numerical calculations show that this difference can be unambiguously detected in the proposed system.

Journal

Quantum Information ProcessingSpringer Journals

Published: Mar 13, 2013

References

  • Holonomic quantum computation
    Zanardi, P; Rasetti, M
  • Fast geometric gate operation of superconducting charge qubits in circuit QED
    Xue, Z-Y
  • Resource Letter GPP-1: geometric phases in physics
    Anandan, J; Christian, J; Wanelik, K
  • Robustness of nonadiabatic holonomic gates
    Johansson, M; Sjöqvist, E; Andersson, LM; Ericsson, M; Hessmo, B; Singh, K; Tong, DM
  • Quantum simulators
    Buluta, I; Nori, F
  • Wiring up quantum systems
    Schoelkopf, RJ; Girvin, SM
  • Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
    Blais, A; Huang, RS; Wallraff, A; Girvin, SM; Schoelkopf, RJ
  • Realization of three-qubit quantum error correction with superconducting circuits
    Reed, MD

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