arXiv:quant-ph/0510226 · Physical Review A

Robust gates for holonomic quantum computation

Giuseppe Florio, Paolo Facchi A, Rosario Fazio, Vittorio Giovannetti, Saverio Pascazio

Published Feb 17, 2006• 59 citations

Abstract

Non-Abelian geometric phases are attracting increasing interest because of possible experimental application in quantum computation. We study the effects of the environment (modeled as an ensemble of harmonic oscillators) on a holonomic transformation and write the corresponding master equation. The solution is analytically and numerically investigated and the behavior of the fidelity analyzed: fidelity revivals are observed and an optimal finite operation time is determined at which the gate is most robust against noise.

DOI: 10.1103/physreva.73.022327

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