Continuously decoupling a Hadamard quantum gate from independent classes of errors

Details Continuously decoupling a Hadamard quantum gate from independent classes of errors Continuously decoupling a Hadamard quantum gate from independent classes of errors

2007-07-06

arxiv.org/abs/0707.1033v1

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevA.76.032319

We consider protecting a Hadamard operation from independent dephasing, bit flipping, and dissipation. These environment-induced errors are represented by three uncorrelated reservoirs of thermalized bosons and we show that the protection is achievable through continuous dynamical decoupling. We find that, to decouple the Hadamard evolution from the environmental influence, we need a control field of higher frequency if the boson spectral density is super-ohmic than if it is ohmic. We also study the relevance of bit flipping and dissipation to the gate fidelity when it is protected from dephasing, showing how robust this partial protection is against these other perturbations. Finally, we calculate an efficient field arrangement capable of protecting simultaneously the gate operation from these three error classes.

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