Holonomic Quantum Computation in Decoherence-Free Subspaces

L.-A. Wu, P. Zanardi, and D. A. Lidar

Phys. Rev. Lett. 95, 130501 – Published 22 September 2005

Abstract

We show how to realize, by means of non-Abelian quantum holonomies, a set of universal quantum gates acting on decoherence-free subspaces and subsystems. In this manner we bring together the quantum coherence stabilization virtues of decoherence-free subspaces and the fault tolerance of all-geometric holonomic control. We discuss the implementation of this scheme in the context of quantum information processing using trapped ions and quantum dots.

Received 10 June 2005

DOI:https://doi.org/10.1103/PhysRevLett.95.130501

Authors & Affiliations

L.-A. Wu¹, P. Zanardi², and D. A. Lidar^1,3

¹Chemistry Department and Center for Quantum Information and Quantum Control, University of Toronto, 80 St. George St., Toronto, Ontario M5S 3H6, Canada
²Institute for Scientific Interchange, Villa Gualino, Viale Settimio Severo 65, I-10133 Torino, Italy
³Departments of Chemistry and Electrical Engineering-Systems, University of Southern California, Los Angeles, California 90089, USA

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Issue

Vol. 95, Iss. 13 — 23 September 2005

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