Decoherence induced by squeezing control errors in optical and ion trap holonomic quantum computations

Details Decoherence induced by squeezing control errors in optical and ion trap holonomic quantum computations Decoherence induced by squeezing control errors in optical and ion trap holonomic quantum computations

2006-01-16

arxiv.org/abs/quant-ph/0601099v2

Physics

Quantum Physics

RevTex, 5 pages, few typos corrected

Scientific paper

We study decoherence induced by stochastic squeezing control errors considering the particular implementation of Hadamard gate on optical and ion trap holonomic quantum computers. We find the fidelity for Hadamard gate and compute the purity of the final state when the control noise is modeled by Ornstein-Uhlenbeck stochastic process. We demonstrate that in contradiction to the case of the systematic control errors the stochastic ones lead to decoherence of the final state. In the small errors limit we derive a simple formulae connecting the gate fidelity and the purity of the final state.

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