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

Eoin P. Butler; Gerald E. Fux; Carlos Ortega-Taberner; Brendon W. Lovett; Jonathan Keeling; Paul R. Eastham

doi:10.1103/PhysRevLett.132.060401

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

Eoin P. Butler, Gerald E. Fux, Carlos Ortega-Taberner, Brendon W. Lovett, Jonathan Keeling, Paul R. Eastham

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

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.

Original language	English
Article number	060401
Number of pages	7
Journal	Physical Review Letters
Volume	132
Issue number	6
Early online date	8 Feb 2024
DOIs	https://doi.org/10.1103/PhysRevLett.132.060401
Publication status	Published - 9 Feb 2024

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10.1103/PhysRevLett.132.060401

Performance_of_optimal_quantum_operations
Copyright © 2024 the Authors. This work has been made available online in accordance with the Rights Retention Strategy This accepted manuscript is distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. The final published version of this work is available at https://doi.org/10.1103/PhysRevLett.132.060401.
Accepted author manuscript, 345 KBLicence: CC BY

Understanding and engineering: Understanding and engineering dissipation in nanoscale quantum devices
Lovett, B. W. (PI) & Keeling, J. M. J. (CoI)
EPSRC
1/04/20 → 31/03/23
Project: Standard
CM DTC 2014 - 2022: EPSRC centre for doctoral training in condensed matter physics: Renewal of the CM-DTC
King, P. (PI)
EPSRC
1/08/14 → 31/01/24
Project: Standard

Optimizing Performance of Quantum Operations with Non-Markovian Decoherence: The Tortoise or the Hare? (Supporting Code and Data)
Butler, E. (Creator), Fux, G. (Creator), Ortega-Taberner, C. (Creator), Lovett, B. (Creator), Keeling, J. (Creator), Eastham, P. (Creator) & Collaboration, T. T. (Creator), Zenodo, 8 Jan 2024
DOI: 10.5281/zenodo.10469096
Dataset

Cite this

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

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. ",

author = "Butler, {Eoin P.} and Fux, {Gerald E.} and Carlos Ortega-Taberner and Lovett, {Brendon W.} and Jonathan Keeling and Eastham, {Paul R.}",

note = "Funding: E. P. B. acknowledges support from the Irish Research Council (GOIPG/2019/1871). G. E. F. acknowledges support from EPSRC (EP/L015110/1). B.W. L. and J. K. acknowledge support from EPSRC (EP/T014032/1). P. R. E. acknowledges support from Science Foundation Ireland (21/FFP-P/10142).",

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AU - Lovett, Brendon W.

AU - Keeling, Jonathan

AU - Eastham, Paul R.

N1 - Funding: E. P. B. acknowledges support from the Irish Research Council (GOIPG/2019/1871). G. E. F. acknowledges support from EPSRC (EP/L015110/1). B.W. L. and J. K. acknowledge support from EPSRC (EP/T014032/1). P. R. E. acknowledges support from Science Foundation Ireland (21/FFP-P/10142).

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

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Projects

Understanding and engineering: Understanding and engineering dissipation in nanoscale quantum devices

CM DTC 2014 - 2022: EPSRC centre for doctoral training in condensed matter physics: Renewal of the CM-DTC

Datasets

Optimizing Performance of Quantum Operations with Non-Markovian Decoherence: The Tortoise or the Hare? (Supporting Code and Data)

Cite this