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A data-driven gradient algorithm for high-precision quantum control

A data-driven gradient algorithm for high-precision quantum control
A data-driven gradient algorithm for high-precision quantum control
In the quest to achieve scalable quantum information processing technologies, gradient-based optimal control algorithms (e.g., GRAPE) are broadly used for implementing high-precision quantum gates, but their performance is often hindered by deterministic or random errors in the system model and the control electronics. In this paper, we show that GRAPE can be taught to be more effective by jointly learning from the design model and the experimental data obtained from process tomography. The resulting data-driven gradient optimization algorithm (d-GRAPE) can in principle correct all deterministic gate errors, with a mild efficiency loss. The d-GRAPE algorithm may become more powerful with broadband controls that involve a large number of control parameters, while other algorithms usually slow down due to the increased size of the search space. These advantages are demonstrated by simulating the implementation of a two-qubit CNOT gate.
arXiv
Wu, R.-B.
a900d38c-7ebc-4b4b-96e7-3d2a54205bbb
Chu, B.
555a86a5-0198-4242-8525-3492349d4f0f
Owens, D.H.
db24b8ef-282b-47c0-9cd2-75e91d312ad7
Rabitz, H.
3e81aa62-a017-448f-a82a-8cf03df52899
Wu, R.-B.
a900d38c-7ebc-4b4b-96e7-3d2a54205bbb
Chu, B.
555a86a5-0198-4242-8525-3492349d4f0f
Owens, D.H.
db24b8ef-282b-47c0-9cd2-75e91d312ad7
Rabitz, H.
3e81aa62-a017-448f-a82a-8cf03df52899

[Unknown type: UNSPECIFIED]

Record type: UNSPECIFIED

Abstract

In the quest to achieve scalable quantum information processing technologies, gradient-based optimal control algorithms (e.g., GRAPE) are broadly used for implementing high-precision quantum gates, but their performance is often hindered by deterministic or random errors in the system model and the control electronics. In this paper, we show that GRAPE can be taught to be more effective by jointly learning from the design model and the experimental data obtained from process tomography. The resulting data-driven gradient optimization algorithm (d-GRAPE) can in principle correct all deterministic gate errors, with a mild efficiency loss. The d-GRAPE algorithm may become more powerful with broadband controls that involve a large number of control parameters, while other algorithms usually slow down due to the increased size of the search space. These advantages are demonstrated by simulating the implementation of a two-qubit CNOT gate.

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More information

Published date: 5 December 2017

Identifiers

Local EPrints ID: 472677
URI: http://eprints.soton.ac.uk/id/eprint/472677
PURE UUID: 6428b9c4-779a-4f21-9ef6-e96ff8935089
ORCID for B. Chu: ORCID iD orcid.org/0000-0002-2711-8717

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Date deposited: 14 Dec 2022 17:31
Last modified: 17 Mar 2024 03:28

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Contributors

Author: R.-B. Wu
Author: B. Chu ORCID iD
Author: D.H. Owens
Author: H. Rabitz

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