Decoherence induced by squeezing control errors in optical and ion trap holonomic quantum computations
В. И. Кувшинов, Andrei V. Kuzmin · Physical Review A · 2006
We study decoherence induced by stochastic squeezing control errors considering the particular implementation of a Hadamard gate on optical and ion trap holonomic quantum computers. We analytically obtain both the purity of the final state and the fidelity for the Hadamard gate when the control noise is modeled by the 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.