{"689433":{"#nid":"689433","#data":{"type":"event","title":"PhD Defense by Zhixin (Jack) Song","body":[{"value":"\u003Cp\u003EIn partial fulfillment of the requirements for the degree of\u0026nbsp;\u003C\/p\u003E\u003Cp\u003EDoctor of Philosophy in\u0026nbsp;Physics\u0026nbsp;\u003C\/p\u003E\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\u003Cp\u003E\u003Cstrong\u003ESchool of Physics\u0026nbsp;Thesis Dissertation Defense\u003C\/strong\u003E\u003C\/p\u003E\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\u003Cp\u003E\u003Cstrong\u003EZhixin (Jack) Song\u003C\/strong\u003E\u003C\/p\u003E\u003Cp\u003EDr. Spencer Bryngelson, CSE, Georgia Institute of Technology (Advisor)\u003C\/p\u003E\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\u003Cp\u003E\u003Cstrong\u003ESolving Differential Equations on Quantum Computers\u003C\/strong\u003E\u003C\/p\u003E\u003Cp\u003EDate: Monday April 13, 2026\u003C\/p\u003E\u003Cp\u003ETime: 9:00 a.m.\u003C\/p\u003E\u003Cp\u003ELocation: Howey Physics Building, Room N201\/202\u003C\/p\u003E\u003Cp\u003EZoom Link:\u0026nbsp;\u003Ca href=\u0022https:\/\/gatech.zoom.us\/j\/91272230097?pwd=eU4AkZyuaKgRhQcUZ7kfRe38BCPmpq.1\u0022\u003Ehttps:\/\/gatech.zoom.us\/j\/91272230097?pwd=eU4AkZyuaKgRhQcUZ7kfRe38BCPmpq.1\u003C\/a\u003E\u003C\/p\u003E\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\u003Cp\u003E\u003Cstrong\u003ECommittee members\u003C\/strong\u003E:\u003C\/p\u003E\u003Cp\u003EDr. Bryan Gard, CIPHER, Georgia Tech Research Institute\u003C\/p\u003E\u003Cp\u003EDr. Fenton Flavio, School of Physics, Georgia Institute of Technology\u003C\/p\u003E\u003Cp\u003EDr. Brian Kennedy, School of Physics, Georgia Institute of Technology\u003C\/p\u003E\u003Cp\u003EDr. Xiangyu Li, Physical and Computational Sciences, Pacific Northwest National Laboratory\u003C\/p\u003E\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\u003Cp\u003E\u003Cstrong\u003EAbstract\u003C\/strong\u003E:\u003C\/p\u003E\u003Cp\u003EQuantum computing has emerged as a transformative computational paradigm, promising superpolynomial speedups for problems that remain intractable on classical hardware. One compelling application is the solution of differential equations, which underpin the modeling of many physical, chemical, and engineering systems but often incur prohibitive computational costs as problem dimensionality grows. This thesis investigates near-term and fault-tolerant quantum algorithms for solving partial differential equations, addressing important bottlenecks such as efficient state preparation through matrix-product-state approximation and readout through real-valued tomography. We develop and analyze end-to-end quantum workflows built upon quantum linear system algorithms (QLSAs) and the Linear Combination of Hamiltonian Simulation (LCHS) framework, which maps non-unitary dynamics onto a unitary dilation amenable to quantum simulation. We benchmark and validate the near-term quantum algorithms on real IBM quantum hardware. Although fault-tolerant quantum computers remain far from realization, we present resource estimates for fault-tolerant implementations targeting surface-code architectures, offering concrete guidance on the problem sizes and precision regimes in which quantum speedups over state-of-the-art classical solvers may become achievable.\u003C\/p\u003E\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E","summary":"","format":"limited_html"}],"field_subtitle":"","field_summary":[{"value":"\u003Cp\u003E\u003Cstrong\u003ESolving Differential Equations on Quantum Computers\u003C\/strong\u003E\u003C\/p\u003E","format":"limited_html"}],"field_summary_sentence":[{"value":"Solving Differential Equations on Quantum Computers"}],"uid":"27707","created_gmt":"2026-04-03 13:25:45","changed_gmt":"2026-04-03 13:29:02","author":"Tatianna Richardson","boilerplate_text":"","field_publication":"","field_article_url":"","field_event_time":{"event_time_start":"2026-04-13T09:00:00-04:00","event_time_end":"2026-04-13T11:00:00-04:00","event_time_end_last":"2026-04-13T11:00:00-04:00","gmt_time_start":"2026-04-13 13:00:00","gmt_time_end":"2026-04-13 15:00:00","gmt_time_end_last":"2026-04-13 15:00:00","rrule":null,"timezone":"America\/New_York"},"location":"Howey Physics Building, Room N201\/202","extras":[],"groups":[{"id":"221981","name":"Graduate Studies"}],"categories":[],"keywords":[{"id":"100811","name":"Phd Defense"}],"core_research_areas":[],"news_room_topics":[],"event_categories":[{"id":"1788","name":"Other\/Miscellaneous"}],"invited_audience":[{"id":"78771","name":"Public"}],"affiliations":[],"classification":[],"areas_of_expertise":[],"news_and_recent_appearances":[],"phone":[],"contact":[],"email":[],"slides":[],"orientation":[],"userdata":""}}}