{"id":{"repo_id":"uic","oai_identifier":"oai:figshare.com:article/30424984"},"canonical_url":"https://search.dev.ndltd.org/etd/uic/oai:figshare.com:article/30424984","repository":{"repo_id":"uic","name":"University of Illinois - Chicago","base_url":"https://api.figshare.com/v2/oai"},"display":{"title":"Majorana-based Topological Quantum Algorithms in Magnet-Superconductor Hybrid Structures","abstract":"Majorana zero modes harbored by topological superconductors may be the key ingredient for the realization of fault-tolerant quantum computing and topologically protected quantum devices. Magnet-superconductor hybrid (MSH) systems have proven to be an experimentally versatile platform for quantum engineering the emergence of topological superconductivity and the associated Majorana modes. In this dissertation, I will show how the exotic phase of topological nodal-point superconductivity can be realized in two-dimensional MSH systems using a checkerboard and spiral magnetic structures. This intriguing topological phase shows unique and edge-dependent low-energy modes, which can be used to identify the underlying topology. Moreover, I will show how the ability to manipulate the magnetic structure of a 1D MSH network can be employed to simulate topological quantum gates and algorithms with Majorana zero modes. In particular, I will demonstrate the simulation of the Clifford gates as well as the Bernstein-Vazirani algorithm, which lets one extract a hidden number from the topological system. Finally, I will extend this to low-energy Majorana edge modes in 2D MSH systems and show how they, in combination with magnetic vortices, can be employed as a quantum memory for topological quantum computing.<p></p>","abstract_html":"Majorana zero modes harbored by topological superconductors may be the key ingredient for the realization of fault-tolerant quantum computing and topologically protected quantum devices. Magnet-superconductor hybrid (MSH) systems have proven to be an experimentally versatile platform for quantum engineering the emergence of topological superconductivity and the associated Majorana modes. In this dissertation, I will show how the exotic phase of topological nodal-point superconductivity can be realized in two-dimensional MSH systems using a checkerboard and spiral magnetic structures. This intriguing topological phase shows unique and edge-dependent low-energy modes, which can be used to identify the underlying topology. Moreover, I will show how the ability to manipulate the magnetic structure of a 1D MSH network can be employed to simulate topological quantum gates and algorithms with Majorana zero modes. In particular, I will demonstrate the simulation of the Clifford gates as well as the Bernstein-Vazirani algorithm, which lets one extract a hidden number from the topological system. Finally, I will extend this to low-energy Majorana edge modes in 2D MSH systems and show how they, in combination with magnetic vortices, can be employed as a quantum memory for topological quantum computing.&lt;p&gt;&lt;/p&gt;","abstract_has_math":false,"creators":["Jasmin Bedow (22401928)"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2025,"date_issued":"2025-08-01T00:00:00Z","date_published":"2025-08-01T00:00:00Z","updated_at":"2026-07-27T21:34:38Z","subjects":["Physics, Condensed Matter","Physics, Theory"],"languages":[],"rights":["In Copyright","Open Access after 2027-10-30"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://doi.org/10.25417/uic.30424984.v1","outbound_label":"DOI","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Jasmin Bedow (22401928)"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2025-08-01T00:00:00Z"]},{"key":"dc:relation","label":"Dc Relation","values":["https://figshare.com/articles/thesis/Majorana-based_Topological_Quantum_Algorithms_in_Magnet-Superconductor_Hybrid_Structures/30424984"]},{"key":"dc:type","label":"Dc Type","values":["Text","Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Physics, Condensed Matter","Physics, Theory"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:rights","label":"Dc Rights","values":["In Copyright","Open Access after 2027-10-30"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["10.25417/uic.30424984.v1"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Majorana zero modes harbored by topological superconductors may be the key ingredient for the realization of fault-tolerant quantum computing and topologically protected quantum devices. Magnet-superconductor hybrid (MSH) systems have proven to be an experimentally versatile platform for quantum engineering the emergence of topological superconductivity and the associated Majorana modes. In this dissertation, I will show how the exotic phase of topological nodal-point superconductivity can be realized in two-dimensional MSH systems using a checkerboard and spiral magnetic structures. This intriguing topological phase shows unique and edge-dependent low-energy modes, which can be used to identify the underlying topology. Moreover, I will show how the ability to manipulate the magnetic structure of a 1D MSH network can be employed to simulate topological quantum gates and algorithms with Majorana zero modes. In particular, I will demonstrate the simulation of the Clifford gates as well as the Bernstein-Vazirani algorithm, which lets one extract a hidden number from the topological system. Finally, I will extend this to low-energy Majorana edge modes in 2D MSH systems and show how they, in combination with magnetic vortices, can be employed as a quantum memory for topological quantum computing.<p></p>"]},{"key":"dc:title","label":"Title","values":["Majorana-based Topological Quantum Algorithms in Magnet-Superconductor Hybrid Structures"]}]}],"canonical_facts":{"dc:creator":["Jasmin Bedow (22401928)"],"dc:date":["2025-08-01T00:00:00Z"],"dc:description":["Majorana zero modes harbored by topological superconductors may be the key ingredient for the realization of fault-tolerant quantum computing and topologically protected quantum devices. Magnet-superconductor hybrid (MSH) systems have proven to be an experimentally versatile platform for quantum engineering the emergence of topological superconductivity and the associated Majorana modes. In this dissertation, I will show how the exotic phase of topological nodal-point superconductivity can be realized in two-dimensional MSH systems using a checkerboard and spiral magnetic structures. This intriguing topological phase shows unique and edge-dependent low-energy modes, which can be used to identify the underlying topology. Moreover, I will show how the ability to manipulate the magnetic structure of a 1D MSH network can be employed to simulate topological quantum gates and algorithms with Majorana zero modes. In particular, I will demonstrate the simulation of the Clifford gates as well as the Bernstein-Vazirani algorithm, which lets one extract a hidden number from the topological system. Finally, I will extend this to low-energy Majorana edge modes in 2D MSH systems and show how they, in combination with magnetic vortices, can be employed as a quantum memory for topological quantum computing.<p></p>"],"dc:identifier":["10.25417/uic.30424984.v1"],"dc:relation":["https://figshare.com/articles/thesis/Majorana-based_Topological_Quantum_Algorithms_in_Magnet-Superconductor_Hybrid_Structures/30424984"],"dc:rights":["In Copyright","Open Access after 2027-10-30"],"dc:subject":["Physics, Condensed Matter","Physics, Theory"],"dc:title":["Majorana-based Topological Quantum Algorithms in Magnet-Superconductor Hybrid Structures"],"dc:type":["Text","Thesis"]},"updated_at":"2026-07-27T21:34:38Z"}