Robustness of non-abelian holonomic quantum gates against parametric noise

Details Robustness of non-abelian holonomic quantum gates against parametric noise Robustness of non-abelian holonomic quantum gates against parametric noise

2003-12-12

arxiv.org/abs/quant-ph/0312109v2

Physics

Quantum Physics

7 pages, 13 figures Corrections in the text and substitution of the figures concerning the comparison between dynamical and ge

Scientific paper

10.1103/PhysRevA.70.042316

We present a numerical study of the robustness of a specific class of non-abelian holonomic quantum gates . We take into account the parametric noise due to stochastic fluctuations of the control fields which drive the time-dependent Hamiltonian along an adiabatic loop. The performance estimator used is the state fidelity between noiseless and noisy holonomic gates. We carry over our analysis with different correlation times and we find out that noisy holonomic gates seem to be close to the noiseless ones for 'short' and 'long' noise correlation times. This result can be interpreted as a consequence of to the geometric nature of the holonomic operator. Our simulation have been performed by using parameters relevant to the excitonic proposal for implementation of holonomic quantum computation [P. Solinas et al. Phys. Rev. B 67, 121307 (2003)]

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