Supervised learning for robust quantum control in composite-pulse systems

Fuente: arXiv
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Autores principales: Shi, Zhi-Cheng, Ding, Jun-Tong, Chen, Ye-Hong, Song, Jie, Xia, Yan, Yi, X. X., Nori, Franco
Formato: Preprint
Publicado: 2023
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author Shi, Zhi-Cheng
Ding, Jun-Tong
Chen, Ye-Hong
Song, Jie
Xia, Yan
Yi, X. X.
Nori, Franco
author_facet Shi, Zhi-Cheng
Ding, Jun-Tong
Chen, Ye-Hong
Song, Jie
Xia, Yan
Yi, X. X.
Nori, Franco
contents In this work, we develop a supervised learning model for implementing robust quantum control in composite-pulse systems, where the training parameters can be either phases, detunings, or Rabi frequencies. This model exhibits great resistance to all kinds of systematic errors, including single, multiple, and time-varying errors. We propose a modified gradient descent algorithm for adapting the training of phase parameters, and show that different sampling methods result in different robust performances. In particular, there is a trade-off between high fidelity and robustness for a given number of training parameters, and both can be simultaneously enhanced by increasing the number of training parameters (pulses). For its applications, we demonstrate that the current model can be used for achieving high-fidelity arbitrary superposition states and universal quantum gates in a robust manner. This work provides a highly efficient learning model for fault-tolerant quantum computation by training various physical parameters.
format Preprint
id arxiv_https___arxiv_org_abs_2308_11861
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Supervised learning for robust quantum control in composite-pulse systems
Shi, Zhi-Cheng
Ding, Jun-Tong
Chen, Ye-Hong
Song, Jie
Xia, Yan
Yi, X. X.
Nori, Franco
Quantum Physics
In this work, we develop a supervised learning model for implementing robust quantum control in composite-pulse systems, where the training parameters can be either phases, detunings, or Rabi frequencies. This model exhibits great resistance to all kinds of systematic errors, including single, multiple, and time-varying errors. We propose a modified gradient descent algorithm for adapting the training of phase parameters, and show that different sampling methods result in different robust performances. In particular, there is a trade-off between high fidelity and robustness for a given number of training parameters, and both can be simultaneously enhanced by increasing the number of training parameters (pulses). For its applications, we demonstrate that the current model can be used for achieving high-fidelity arbitrary superposition states and universal quantum gates in a robust manner. This work provides a highly efficient learning model for fault-tolerant quantum computation by training various physical parameters.
title Supervised learning for robust quantum control in composite-pulse systems
topic Quantum Physics
url https://arxiv.org/abs/2308.11861