Gutenberg Open Science: Fault-tolerant quantum error correction with trapped-ion quantum bits

Please use this identifier to cite or link to this item: http://doi.org/10.25358/openscience-8502

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DC Field	Value	Language
dc.contributor.advisor	Schmidt-Kaler, Ferdinand	-
dc.contributor.author	Hilder, Janine	-
dc.date.accessioned	2022-12-15T11:34:35Z	-
dc.date.available	2022-12-15T11:34:35Z	-
dc.date.issued	2022	-
dc.identifier.uri	https://openscience.ub.uni-mainz.de/handle/20.500.12030/8518	-
dc.description.abstract	Trapped-ion quantum information processing is among the most promising candidates to realize a scalable quantum computer. A segmented Paul trap can be used to move ions in and out of storage and processing regions via dynamic register reconfiguration operations, enabling effective all-to-all connectivity. The processing region is dedicated to perform laser-driven operations, such as single-qubit rotations and two-qubit entangling gates. To achieve the long-term goal of a large-scale fault-tolerant quantum computer, it is of crucial importance to realize quantum error correction. This thesis focuses on the experimental realization of a fault-tolerant (FT) weight- 4 parity check measurement (PCM) scheme on a trapped-ion quantum processor node. The scheme presented here uses only minimal resource overhead in the form of one additional ’flag’ qubit, to detect errors that would proliferate onto the data qubit register as uncorrectable weight-2 errors. This parity check measurement is an important building block in a broad class of resource-efficient flag-based quantum error correction protocols, such as the topological color code. The experimental result presented is one of the first realizations of the FT PCM scheme on a shuttlingbased trapped-ion quantum computing architecture. A parity measurement fidelity of 92.3(2)% is achieved, which is increased to 93.2(2)% upon flag-qubit conditioning, exceeding the bare parity fidelity by 4.5 standard errors. Injection of bit- and phaseflip errors shows that the scheme is able to reliably intercept faults. For holistic benchmarking, an entanglement witnessing scheme is used, to verify the generation of six-qubit multipartite entanglement, involving all ions participating in the faulttolerant parity measurement. Within the work presented here, improvements of the register reconfiguration operations were carried out, in order to reduce the motional excitation in quantum circuits with a high number of transport, separation/merge and positional ion swap operations, such as the parity measurement scheme. Taking into account the architectural features of the shuttling-based trapped-ion quantum processor, such as effective all-to-all connectivity and no operational crosstalk, the demonstrated building block of flag-based fault-tolerant quantum error correction lays out a clear path towards scalable fault-tolerant quantum computing.	en_GB
dc.language.iso	eng	de
dc.rights	InCopyright	*
dc.rights.uri	http://rightsstatements.org/vocab/InC/1.0/	*
dc.subject.ddc	530 Physik	de_DE
dc.subject.ddc	530 Physics	en_GB
dc.title	Fault-tolerant quantum error correction with trapped-ion quantum bits	en_GB
dc.type	Dissertation	de
dc.identifier.urn	urn:nbn:de:hebis:77-openscience-8dfa58ee-f1be-46d2-9c79-409d4146e32a5	-
dc.identifier.doi	http://doi.org/10.25358/openscience-8502	-
jgu.type.dinitype	doctoralThesis	en_GB
jgu.type.version	Original work	de
jgu.type.resource	Text	de
jgu.date.accepted	2022-12-01	-
jgu.description.extent	vii, 148 Seiten ; Illustrationen, Diagramme	de
jgu.organisation.department	FB 08 Physik, Mathematik u. Informatik	de
jgu.organisation.number	7940	-
jgu.organisation.name	Johannes Gutenberg-Universität Mainz	-
jgu.rights.accessrights	openAccess	-
jgu.organisation.place	Mainz	-
jgu.subject.ddccode	530	de
jgu.organisation.ror	https://ror.org/023b0x485	-
Appears in collections:	JGU-Publikationen

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