Universal dynamical decoupling from slow noise with minimal control
Weizmann Institute of Science, Department of Chemical Physics - Rehovot 76100, Israel
2 Laboratoire Aimé Cotton, CNRS, Campus d'Orsay - 91405, Orsay, France, EU
Accepted: 15 December 2009
We propose a technique that allows to simultaneously perform universal control of the evolution operator of a system and compensate for the first-order contribution of any Hermitian constant noise and the action of the environment. We show that, at least, a three-valued Hamiltonian is needed in order to protect the system against any such noise and propose an explicit algorithm for finding an appropriate control sequence. This algorithm is applied to numerically design a safe gate in an atomic qutrit.
PACS: 03.67.-a – Quantum information / 03.67.Pp – Quantum error correction and other methods for protection against decoherence
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