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Characterization and implementation of robust quantum information processing / DAVID FERNANDEZ

Swansea University Author: DAVID FERNANDEZ

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DOI (Published version): 10.23889/SUthesis.56913

Abstract

Quantum information processing has practical applications like exponential speed ups in optimisation problems or the simulation of complex quantum systems. However, well controlled quantum systems realised experimentally to process the information are sensitive to noise. The progress in leading expe...

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Published: Swansea 2020
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
Supervisor: Müller, Markus
URI: https://cronfa.swan.ac.uk/Record/cronfa56913
first_indexed 2021-05-19T08:00:05Z
last_indexed 2021-05-20T03:11:48Z
id cronfa56913
recordtype RisThesis
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spelling 2021-05-19T09:24:21.0270504 v2 56913 2021-05-19 Characterization and implementation of robust quantum information processing 79d0db268c6a58370d591e9447a25db4 DAVID FERNANDEZ DAVID FERNANDEZ true false 2021-05-19 Quantum information processing has practical applications like exponential speed ups in optimisation problems or the simulation of complex quantum systems. However, well controlled quantum systems realised experimentally to process the information are sensitive to noise. The progress in leading experimental platforms like superconducting qubits or trapped ions has al-lowed the realisation of high-fidelity quantum processors known as Noisy Intermediate-Scale Quantum (NISQ) devices with roughly 50 qubits. NISQ devices are meant to be large enough to show, despite their imperfections, an advantage over classical processors in some computational tasks and pro-vide a rich playground to prove principles for future quantum algorithms and protocols. However, quantum processors need to be scaled up to imple-ment quantum algorithms that are relevant for practical applications. For this purpose, Quantum Error Correction (QEC) codes, which encode the information in multi-partite quantum states that are generally highly en-tangled, become crucial to eliminate the errors introduced by noise sources like qubit loss. Here we introduce a protocol to correct qubit loss, i.e., the impossibility to access the information encoded in a qubit, in the color code, a leading candidate for fault-tolerant quantum computation. We show that the achieved tolerance of 46(1)% to qubit loss is related to a novel percola-tion problem on three coupled lattices. Our work shows the high robustness of the color under our protocol and has practical importance for implemen-tations of fault-tolerant QEC. In our second line of research we propose and analyse local entanglement witnesses as efficient and platform-agnostic detectors of the entanglement between qubit subsystems, providing a de-scription of the entanglement structure in, in principle, arbitrarily large quantum systems. Since entanglement is a genuinely quantum property used as a resource in most quantum algorithms, local witnesses, which can be implemented with current technology, are of interest for current and future quantum processors. E-Thesis Swansea Quantum Information, Quantum Computation, Quantum Error Correction, Entanglement detection, Entanglement witness, Qubit loss, Leakage, Percolation Theory, Stabiliser states, Graph states 21 1 2020 2020-01-21 10.23889/SUthesis.56913 ORCiD identifier https://orcid.org/0000-0001-7853-9581 COLLEGE NANME COLLEGE CODE Swansea University Müller, Markus Doctoral Ph.D 2021-05-19T09:24:21.0270504 2021-05-19T08:56:29.7598864 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics DAVID FERNANDEZ 1 56913__19937__7f72e67614874a26ab39ec0835ae262a.pdf Amaro_David_PhD_Thesis_Final_Redacted_Signatures.pdf 2021-05-19T09:14:07.6115585 Output 11014922 application/pdf E-Thesis – open access true Copyright: The author, David Amaro Fernandez, 2020. true eng
title Characterization and implementation of robust quantum information processing
spellingShingle Characterization and implementation of robust quantum information processing
DAVID FERNANDEZ
title_short Characterization and implementation of robust quantum information processing
title_full Characterization and implementation of robust quantum information processing
title_fullStr Characterization and implementation of robust quantum information processing
title_full_unstemmed Characterization and implementation of robust quantum information processing
title_sort Characterization and implementation of robust quantum information processing
author_id_str_mv 79d0db268c6a58370d591e9447a25db4
author_id_fullname_str_mv 79d0db268c6a58370d591e9447a25db4_***_DAVID FERNANDEZ
author DAVID FERNANDEZ
author2 DAVID FERNANDEZ
format E-Thesis
publishDate 2020
institution Swansea University
doi_str_mv 10.23889/SUthesis.56913
college_str Faculty of Science and Engineering
hierarchytype
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
active_str 0
description Quantum information processing has practical applications like exponential speed ups in optimisation problems or the simulation of complex quantum systems. However, well controlled quantum systems realised experimentally to process the information are sensitive to noise. The progress in leading experimental platforms like superconducting qubits or trapped ions has al-lowed the realisation of high-fidelity quantum processors known as Noisy Intermediate-Scale Quantum (NISQ) devices with roughly 50 qubits. NISQ devices are meant to be large enough to show, despite their imperfections, an advantage over classical processors in some computational tasks and pro-vide a rich playground to prove principles for future quantum algorithms and protocols. However, quantum processors need to be scaled up to imple-ment quantum algorithms that are relevant for practical applications. For this purpose, Quantum Error Correction (QEC) codes, which encode the information in multi-partite quantum states that are generally highly en-tangled, become crucial to eliminate the errors introduced by noise sources like qubit loss. Here we introduce a protocol to correct qubit loss, i.e., the impossibility to access the information encoded in a qubit, in the color code, a leading candidate for fault-tolerant quantum computation. We show that the achieved tolerance of 46(1)% to qubit loss is related to a novel percola-tion problem on three coupled lattices. Our work shows the high robustness of the color under our protocol and has practical importance for implemen-tations of fault-tolerant QEC. In our second line of research we propose and analyse local entanglement witnesses as efficient and platform-agnostic detectors of the entanglement between qubit subsystems, providing a de-scription of the entanglement structure in, in principle, arbitrarily large quantum systems. Since entanglement is a genuinely quantum property used as a resource in most quantum algorithms, local witnesses, which can be implemented with current technology, are of interest for current and future quantum processors.
published_date 2020-01-21T14:05:26Z
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score 11.048042

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