Universal Holonomic Quantum Computing and Imperfections

Demosthenes Ellinas, Jiannis K. Pachos · CERN Document Server (European Organization for Nuclear Research) · 2000

We present a non-local construction of universal gates by means of holonomic (geometric) quantum teleportation. The effect of the errors from an 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.

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