In this Dissertation, we review the several advances we have developed for preparing and measuring the geometric and quantum information of structured light. The geometric phase acts as a memory of transformations undertaken by physical processes; quantum entanglement underpins quantum information science which explores the theoretical and technological applications of nonclassical correlations. Beginning with classical light, we demonstrate novel experiments and measurements of geometric phase that are enabled by spatially structuring laser beams. We then extend those concepts to complement the richer possibilities within quantum optics. Our work covers new abilities in tailoring and measuring the phase content of spatially-structured entangled photons, including the incorporation of geometric phase as an additional parameter for control of quantum states.
","abstract_html":"<p>In this Dissertation, we review the several advances we have developed for preparing and measuring the geometric and quantum information of structured light. The geometric phase acts as a memory of transformations undertaken by physical processes; quantum entanglement underpins quantum information science which explores the theoretical and technological applications of nonclassical correlations. Beginning with classical light, we demonstrate novel experiments and measurements of geometric phase that are enabled by spatially structuring laser beams. We then extend those concepts to complement the richer possibilities within quantum optics. Our work covers new abilities in tailoring and measuring the phase content of spatially-structured entangled photons, including the incorporation of geometric phase as an additional parameter for control of quantum states.</p>","abstract_has_math":false,"creators":["Voitiv, Andrew Alexander"],"institution":null,"degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":null,"degree_department":null,"school":null,"contributors":["Mark E. Siemens","Angelo Castagnino","Mark Lusk","Davor Balzar","Xin Fan"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2024,"date_issued":"2024-06-15T07:00:00Z","date_published":"2024-06-15T07:00:00Z","updated_at":"2026-07-24T02:01:48Z","subjects":["Coincidence measurements","Geometric phase","Optical vortices","Phase measurements","Quantum entanglement","Structured light","Optics","Physical Sciences and Mathematics","Physics","Quantum Physics"],"languages":["English (eng)"],"rights":["Copyright is held by the author. User is responsible for all copyright compliance.
"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://digitalcommons.du.edu/etd/2429","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Mark E. Siemens","Angelo Castagnino","Mark Lusk","Davor Balzar","Xin Fan"]},{"key":"dc:creator","label":"Author","values":["Voitiv, Andrew Alexander"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Coincidence measurements","Geometric phase","Optical vortices","Phase measurements","Quantum entanglement","Structured light","Optics","Physical Sciences and Mathematics","Physics","Quantum Physics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["English (eng)"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright is held by the author. User is responsible for all copyright compliance.
"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://digitalcommons.du.edu/etd/2429"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["In this Dissertation, we review the several advances we have developed for preparing and measuring the geometric and quantum information of structured light. The geometric phase acts as a memory of transformations undertaken by physical processes; quantum entanglement underpins quantum information science which explores the theoretical and technological applications of nonclassical correlations. Beginning with classical light, we demonstrate novel experiments and measurements of geometric phase that are enabled by spatially structuring laser beams. We then extend those concepts to complement the richer possibilities within quantum optics. Our work covers new abilities in tailoring and measuring the phase content of spatially-structured entangled photons, including the incorporation of geometric phase as an additional parameter for control of quantum states.
"]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Bridging the Geometric and Quantum Information of Structured Light"]}]}],"canonical_facts":{"dc:contributor":["Mark E. Siemens","Angelo Castagnino","Mark Lusk","Davor Balzar","Xin Fan"],"dc:creator":["Voitiv, Andrew Alexander"],"dc:description.abstract":["In this Dissertation, we review the several advances we have developed for preparing and measuring the geometric and quantum information of structured light. The geometric phase acts as a memory of transformations undertaken by physical processes; quantum entanglement underpins quantum information science which explores the theoretical and technological applications of nonclassical correlations. Beginning with classical light, we demonstrate novel experiments and measurements of geometric phase that are enabled by spatially structuring laser beams. We then extend those concepts to complement the richer possibilities within quantum optics. Our work covers new abilities in tailoring and measuring the phase content of spatially-structured entangled photons, including the incorporation of geometric phase as an additional parameter for control of quantum states.
"],"dc:format":["application/pdf"],"dc:identifier":["https://digitalcommons.du.edu/etd/2429"],"dc:language":["English (eng)"],"dc:rights":["Copyright is held by the author. User is responsible for all copyright compliance.
"],"dc:subject":["Coincidence measurements","Geometric phase","Optical vortices","Phase measurements","Quantum entanglement","Structured light","Optics","Physical Sciences and Mathematics","Physics","Quantum Physics"],"dc:title":["Bridging the Geometric and Quantum Information of Structured Light"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."]},"updated_at":"2026-07-24T02:01:48Z"}