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

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

2006-03-31

arxiv.org/abs/quant-ph/0603282v1

Phys. Rev. A 73, 052305 (2006)

Physics

Quantum Physics

The sequel to quant-ph/0601099

Scientific paper

10.1103/PhysRevA.73.052305

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 analytically obtain both the purity of the final state and the fidelity for Hadamard gate when the control noise is modeled by Ornstein-Uhlenbeck stochastic process. We demonstrate the purity and the fidelity oscillations depending on the choice of the initial superimposed state. We derive a linear formulae connecting the gate fidelity and the purity of the final state.

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