{"id":{"repo_id":"nus","oai_identifier":"oai:scholarbank.nus.edu.sg:10635/319601"},"canonical_url":"https://search.dev.ndltd.org/etd/nus/oai:scholarbank.nus.edu.sg:10635/319601","repository":{"repo_id":"nus","name":"National University of Singapore","base_url":"https://scholarbank.nus.edu.sg/oai/request"},"display":{"title":"STUDIES IN QUANTUM CONTROL AND QUANTUM INFORMATION","abstract":"This thesis translates abstract concepts from quantum information theory into physical control protocols designed for cooling, error recovery, and quantum metrology. The physical platforms utilized in this work include qubits, quantum harmonic oscillators, and their composite systems. In the first project, we propose a physical implementation of a symmetry-protected super-Heisenberg sensing protocol in trapped ion sensors. A key challenge in achieving the super-Heisenberg limit is designing nonlinear parametrization from a linear perturbing signal. We address this by pulse-engineering the signal onto a geometric phase, which is then encoded into qubits via spin-spin interaction. In the second project, we propose a quantum circuit implementation of the Petz recovery map for single-qubit decoherence, analyzing its resource requirements, performance under suboptimal priors, and resilience within noisy ion trap environments. Lastly, we establish a heat-bath algorithmic cooling framework for continuous variable systems, deriving fundamental cooling limits that distinguish between Gaussian operations and the enhanced capabilities of non-Gaussian operations.","abstract_html":"This thesis translates abstract concepts from quantum information theory into physical control protocols designed for cooling, error recovery, and quantum metrology. The physical platforms utilized in this work include qubits, quantum harmonic oscillators, and their composite systems. In the first project, we propose a physical implementation of a symmetry-protected super-Heisenberg sensing protocol in trapped ion sensors. A key challenge in achieving the super-Heisenberg limit is designing nonlinear parametrization from a linear perturbing signal. We address this by pulse-engineering the signal onto a geometric phase, which is then encoded into qubits via spin-spin interaction. In the second project, we propose a quantum circuit implementation of the Petz recovery map for single-qubit decoherence, analyzing its resource requirements, performance under suboptimal priors, and resilience within noisy ion trap environments. Lastly, we establish a heat-bath algorithmic cooling framework for continuous variable systems, deriving fundamental cooling limits that distinguish between Gaussian operations and the enhanced capabilities of non-Gaussian operations.","abstract_has_math":false,"creators":["PNG WEN HAN"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2026,"date_issued":"2026-03-03","date_published":"2026-03-03","updated_at":"2026-07-24T03:32:04Z","subjects":["pulse engineering","heat-bath algorithmic cooling","quantum metrology","Petz recovery map","quantum control","Quantum information"],"languages":[],"rights":[],"rights_urls":["https://scholarbank.nus.edu.sg/bitstreams/b498e1ce-9971-48e9-a77b-caa62827ed66/download"],"identifier_entries":[]},"links":{"outbound_url":null,"outbound_label":null,"outbound_source":null},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["PNG WEN HAN"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.issued","label":"Date","values":["2026-03-03"]},{"key":"dc:relation.isreferencedby","label":"Dc Relation Isreferencedby","values":["https://scholarbank.nus.edu.sg/handle/10635/319601"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["pulse engineering","heat-bath algorithmic cooling","quantum metrology","Petz recovery map","quantum control","Quantum information"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:rights","label":"Dc Rights","values":["https://scholarbank.nus.edu.sg/bitstreams/b498e1ce-9971-48e9-a77b-caa62827ed66/download"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://scholarbank.nus.edu.sg/bitstreams/d5bf6afe-d61e-407c-bea3-374a6e437a56/download"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["This thesis translates abstract concepts from quantum information theory into physical control protocols designed for cooling, error recovery, and quantum metrology. 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In the first project, we propose a physical implementation of a symmetry-protected super-Heisenberg sensing protocol in trapped ion sensors. A key challenge in achieving the super-Heisenberg limit is designing nonlinear parametrization from a linear perturbing signal. We address this by pulse-engineering the signal onto a geometric phase, which is then encoded into qubits via spin-spin interaction. In the second project, we propose a quantum circuit implementation of the Petz recovery map for single-qubit decoherence, analyzing its resource requirements, performance under suboptimal priors, and resilience within noisy ion trap environments. 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