Topological features in ion-trap holonomic computation

Jiannis Pachos
Phys. Rev. A 66, 042318 – Published 23 October 2002
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Abstract

Topological features in quantum computing provide controllability and noise error avoidance in the performance of logical gates. While such resilience is favored in the manipulation of quantum systems, it is very hard to identify topological features in nature. This paper proposes a scheme where holonomic quantum gates have intrinsic topological features. An ion trap is employed where the vibrational modes of the ions are coherently manipulated with lasers in an adiabatic cyclic way producing geometrical holonomic gates. A crucial ingredient of the manipulation procedures is squeezing of the vibrational modes, which effectively suppresses exponentially any undesired fluctuations of the squeezing parameter, thus making the gates resilient to control errors.

  • Received 22 April 2002

DOI:https://doi.org/10.1103/PhysRevA.66.042318

©2002 American Physical Society

Authors & Affiliations

Jiannis Pachos

  • Max-Planck-Institut für Quantenoptik, D-85748 Garching, Germany

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Issue

Vol. 66, Iss. 4 — October 2002

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