Universal quantum computation by holonomic and nonlocal gates with imperfections

Demosthenes Ellinas and Jiannis Pachos
Phys. Rev. A 64, 022310 – Published 12 July 2001
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Abstract

We present a nonlocal construction of universal gates by means of holonomic (geometric) quantum teleportation. The effect of the errors from imperfect control of the classical parameters, the looping variation of which builds up holonomic gates, is investigated. Additionally, the influence of quantum decoherence on holonomic teleportation used as a computational primitive is studied. Advantages of the holonomic implementation with respect to control errors and dissipation are presented.

  • Received 12 September 2000

DOI:https://doi.org/10.1103/PhysRevA.64.022310

©2001 American Physical Society

Authors & Affiliations

Demosthenes Ellinas1,* and Jiannis Pachos2,3,†,‡

  • 1Department of Sciences, Section of Mathematics, Technical University of Crete, GR-731 00 Chania, Crete, Greece
  • 2Max Planck Institut für Quantenoptik, D-85748 Garching, Germany
  • 3Institute of Scientific Interchange Foundation, Villa Gualino, Viale Settimio Severo 65, I-10133 Torino, Italy

  • *Electronic address: ellinas@science.tuc.gr
  • †Electronic address: jip@mpq.mpg.de
  • ‡Present address.

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Vol. 64, Iss. 2 — August 2001

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