Optimizing performance of quantum operations with non-Markovian decoherence: the tortoise or the hare?

Fuente: arXiv
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Autores principales: Butler, Eoin P., Fux, Gerald E., Ortega-Taberner, Carlos, Lovett, Brendon W., Keeling, Jonathan, Eastham, Paul R.
Formato: Preprint
Publicado: 2023
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author Butler, Eoin P.
Fux, Gerald E.
Ortega-Taberner, Carlos
Lovett, Brendon W.
Keeling, Jonathan
Eastham, Paul R.
author_facet Butler, Eoin P.
Fux, Gerald E.
Ortega-Taberner, Carlos
Lovett, Brendon W.
Keeling, Jonathan
Eastham, Paul R.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2303_16002
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Optimizing performance of quantum operations with non-Markovian decoherence: the tortoise or the hare?
Butler, Eoin P.
Fux, Gerald E.
Ortega-Taberner, Carlos
Lovett, Brendon W.
Keeling, Jonathan
Eastham, Paul R.
Quantum Physics
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.
title Optimizing performance of quantum operations with non-Markovian decoherence: the tortoise or the hare?
topic Quantum Physics
url https://arxiv.org/abs/2303.16002