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Abstract: We present rigorous performance bounds for the optimal dynamical decouplingpulse sequence protecting a quantum bit qubit against pure dephasing. Ourbounds apply under the assumption of instantaneous pulses and of boundedperturbing environment and qubit-environment Hamiltonians. We show that if thetotal sequence time is fixed the optimal sequence can be used to make thedistance between the protected and unperturbed qubit states arbitrarily smallin the number of applied pulses. If, on the other hand, the minimum pulseinterval is fixed and the total sequence time is allowed to scale with thenumber of pulses, then longer sequences need not always be advantageous. Therigorous bound may serve as testbed for approximate treatments of optimaldecoupling in bounded models of decoherence.

Author: Götz S. Uhrig, Daniel A. Lidar

Source: https://arxiv.org/


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