Fidelity-enhanced variational quantum optimal control

Robert J.P.T. de Keijzer; L.Y. Visser; Oliver T.C.  Tse; Servaas J.J.M.F Kokkelmans

doi:10.1103/PhysRevA.111.052625

Fidelity-enhanced variational quantum optimal control

Robert J.P.T. de Keijzer (Corresponding author)
, L.Y. Visser
, Oliver T.C. Tse
, Servaas J.J.M.F Kokkelmans

Research output: Contribution to journal › Article › Academic › peer-review

1 Citation (Scopus)

30 Downloads (Pure)

Abstract

Creating robust quantum operations is a major challenge in the current noisy intermediate-scale quantum computing era. Recently, the importance of noise-resilient control methods has become more pronounced in the field. Ordinarily, noisy quantum systems are described by the Lindblad equation. However, minimizing noise susceptibility using this equation has proven challenging because of its irreversibility. In this study, we propose a method for creating robust pulses based on the stochastic Schrödinger equation. This equation describes individual noise realizations under any colored noise process, contrary to the Lindblad equation, which describes mean system behavior under white noise. Using stochastic optimal control techniques, our method, fidelity-enhanced variational quantum optimal control, is able to construct higher-fidelity paths than its nonstochastic counterpart. By accounting for both environmental noise sources as well as noise sources inherent to the control system, highly significant increases in fidelity are noted for both single- and multiple-qubit state preparations.

Original language	English
Article number	052625
Number of pages	13
Journal	Physical Review A
Volume	111
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevA.111.052625
Publication status	Published - 28 May 2025

Funding

ACKNOWLEDGMENTS We thank Jasper Postema, Raul F. Santos, Jasper van de Kraats, Madhav Mohan, and Emre Akaturk for fruitful discussions. This research was financially supported by the Dutch Ministry of Economic Affairs and Climate Policy (EZK), as part of the Quantum Delta NL program, the Horizon Europe program HORIZON-CL4-2021-DIGITAL-EMERGING-01-30 via Project No. 101070144 (EuRyQa), and by the Netherlands Organisation for Scientific Research (NWO) under Grants No. 680.92.18.05 and No. NGF.1582.22.009. The authors declare no competing interests. We thank Jasper Postema, Raul F. Santos, Jasper van de Kraats, Madhav Mohan, and Emre Akaturk for fruitful discussions. This research was financially supported by the Dutch Ministry of Economic Affairs and Climate Policy (EZK), as part of the Quantum Delta NL program, the Horizon Europe program HORIZON-CL4-2021-DIGITAL-EMERGING-01-30 via Project No. 101070144 (EuRyQa), and by the Netherlands Organisation for Scientific Research (NWO) under Grants No. 680.92.18.05 and No. NGF.1582.22.009. We thank Jasper Postema, Raul F. Santos, Jasper van de Kraats, Madhav Mohan, and Emre Akaturk for fruitful discussions. This research was financially supported by the Dutch Ministry of Economic Affairs and Climate Policy (EZK), as part of the Quantum Delta NL program, the Horizon Europe program HORIZON-CL4-2021-DIGITAL-EMERGING-01-30 via Project No. 101070144 (EuRyQa), and by the Netherlands Organisation for Scientific Research (NWO) under Grants No. 680.92.18.05 and No. NGF.1582.22.009.

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abstract = "Creating robust quantum operations is a major challenge in the current noisy intermediate-scale quantum computing era. Recently, the importance of noise-resilient control methods has become more pronounced in the field. Ordinarily, noisy quantum systems are described by the Lindblad equation. However, minimizing noise susceptibility using this equation has proven challenging because of its irreversibility. In this study, we propose a method for creating robust pulses based on the stochastic Schr{\"o}dinger equation. This equation describes individual noise realizations under any colored noise process, contrary to the Lindblad equation, which describes mean system behavior under white noise. Using stochastic optimal control techniques, our method, fidelity-enhanced variational quantum optimal control, is able to construct higher-fidelity paths than its nonstochastic counterpart. By accounting for both environmental noise sources as well as noise sources inherent to the control system, highly significant increases in fidelity are noted for both single- and multiple-qubit state preparations.",

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Fidelity-enhanced variational quantum optimal control

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