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Harnessing Bayesian Optimisation for Quantum Information Processing / FERNANDO GARCIA

Swansea University Author: FERNANDO GARCIA

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DOI (Published version): 10.23889/SUthesis.60301

Abstract

Achieving precise control over quantum systems has groundbreaking ap-plications, such as simulating complex quantum systems, or implementing quantum algorithms with an improved efficiency over classical algorithms. Quantum computing has been under development for the last decades, re-sulting in the...

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Published: Swansea 2022
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
Supervisor: Müller, Markus
URI: https://cronfa.swan.ac.uk/Record/cronfa60301
first_indexed 2022-06-22T14:07:46Z
last_indexed 2022-06-23T03:19:34Z
id cronfa60301
recordtype RisThesis
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spelling 2022-06-22T15:35:24.1526061 v2 60301 2022-06-22 Harnessing Bayesian Optimisation for Quantum Information Processing ec1970e736972064438c5512ae07993f FERNANDO GARCIA FERNANDO GARCIA true false 2022-06-22 Achieving precise control over quantum systems has groundbreaking ap-plications, such as simulating complex quantum systems, or implementing quantum algorithms with an improved efficiency over classical algorithms. Quantum computing has been under development for the last decades, re-sulting in the so-called Noisy Intermediate-Scale Quantum (NISQ) devices with about 50 qubits. While these devices are built with the purpose of achieving practical advantages over classical processors, they are vulnerable to noise sources. In order to account for error sources, one needs to im-plement Quantum Error Correction (QEC) techniques. These techniques protect quantum information by encoding a logical qubit into several phys-ical ones. For the implementation of NISQ devices and QEC techniques, it is vital to keep improving the quantum operations and states involved. Here we develop calibration protocols based on the application of Bayesian inference. We show their advantages compared to the more traditional frequentist approaches, such as their ability to maximise the information gained with each measurement, or their straightforward automation. In our first line of research, we develop a Bayesian protocol for the correction of unwanted phases appearing in the experimental preparation of Steane code states. This protocol requires 13 times less measurements than the frequentist approach. In our second line of research, we develop a proto-col for locking a laser to the qubit transition frequency in a trapped-ion architecture. This calibration is vital, since the correct implementation of single-qubit gates depends on it. In our final line of research, we study the Mølmer-Sørensen entangling gate, used in trapped-ion systems. First we introduce the calibration parameters, and derive a semianalytical model of the effects of one of them, for which there was no previous analytical understanding. Finally, we develop a Bayesian protocol for the calibration of these parameters, which was successfully implemented and tested in an experimental trapped-ion quantum processor. E-Thesis Swansea Quantum computing, Bayesian optimisation, Quantum error correction, Ion traps 15 6 2022 2022-06-15 10.23889/SUthesis.60301 ORCiD identifier: https://orcid.org/0000-0001-7243-3663 COLLEGE NANME COLLEGE CODE Swansea University Müller, Markus Doctoral Ph.D U.S.A.R.O. ; CETO Project, Grant No: W911NF-16-1-0070 2022-06-22T15:35:24.1526061 2022-06-22T15:00:37.6848546 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics FERNANDO GARCIA 1 60301__24366__d05157b9ccff427b88ddd17c1dbe0eb7.pdf Martinez Garcia_Fernando_PhD_Thesis_Final_Redacted_Signature.pdf 2022-06-22T15:25:23.6825550 Output 23153761 application/pdf E-Thesis – open access true Copyright: The author, Fernando Martínez García, 2022. true eng
title Harnessing Bayesian Optimisation for Quantum Information Processing
spellingShingle Harnessing Bayesian Optimisation for Quantum Information Processing
FERNANDO GARCIA
title_short Harnessing Bayesian Optimisation for Quantum Information Processing
title_full Harnessing Bayesian Optimisation for Quantum Information Processing
title_fullStr Harnessing Bayesian Optimisation for Quantum Information Processing
title_full_unstemmed Harnessing Bayesian Optimisation for Quantum Information Processing
title_sort Harnessing Bayesian Optimisation for Quantum Information Processing
author_id_str_mv ec1970e736972064438c5512ae07993f
author_id_fullname_str_mv ec1970e736972064438c5512ae07993f_***_FERNANDO GARCIA
author FERNANDO GARCIA
author2 FERNANDO GARCIA
format E-Thesis
publishDate 2022
institution Swansea University
doi_str_mv 10.23889/SUthesis.60301
college_str Faculty of Science and Engineering
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hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 1
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description Achieving precise control over quantum systems has groundbreaking ap-plications, such as simulating complex quantum systems, or implementing quantum algorithms with an improved efficiency over classical algorithms. Quantum computing has been under development for the last decades, re-sulting in the so-called Noisy Intermediate-Scale Quantum (NISQ) devices with about 50 qubits. While these devices are built with the purpose of achieving practical advantages over classical processors, they are vulnerable to noise sources. In order to account for error sources, one needs to im-plement Quantum Error Correction (QEC) techniques. These techniques protect quantum information by encoding a logical qubit into several phys-ical ones. For the implementation of NISQ devices and QEC techniques, it is vital to keep improving the quantum operations and states involved. Here we develop calibration protocols based on the application of Bayesian inference. We show their advantages compared to the more traditional frequentist approaches, such as their ability to maximise the information gained with each measurement, or their straightforward automation. In our first line of research, we develop a Bayesian protocol for the correction of unwanted phases appearing in the experimental preparation of Steane code states. This protocol requires 13 times less measurements than the frequentist approach. In our second line of research, we develop a proto-col for locking a laser to the qubit transition frequency in a trapped-ion architecture. This calibration is vital, since the correct implementation of single-qubit gates depends on it. In our final line of research, we study the Mølmer-Sørensen entangling gate, used in trapped-ion systems. First we introduce the calibration parameters, and derive a semianalytical model of the effects of one of them, for which there was no previous analytical understanding. Finally, we develop a Bayesian protocol for the calibration of these parameters, which was successfully implemented and tested in an experimental trapped-ion quantum processor.
published_date 2022-06-15T14:15:48Z
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