Optimizing performance of quantum operations with non-Markovian decoherence: the tortoise or the hare?
arxiv(2023)
Abstract
The interaction between a quantum system and its environment limits our
ability to control it and perform quantum operations on it. We present an
efficient method to find optimal controls for quantum systems coupled to
non-Markovian environments, by using the process tensor to compute the gradient
of an objective function. We consider state transfer for a driven two-level
system coupled to a bosonic environment, and characterize performance in terms
of speed and fidelity. We thus determine the best achievable fidelity as a
function of process duration. We show there is a trade-off between speed and
fidelity, and that slower processes can have higher fidelity by exploiting
non-Markovian effects.
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