{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/121293"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/121293","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Dynamical approach in quantum information theory","abstract":"Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2025-08-01","abstract_html":"Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2025-08-01","abstract_has_math":false,"creators":["Wu, Peixue"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":["Junge, Marius","Song, Renming","Leditzky, Felix","Dey, Partha","Araiza, Roy"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2023,"date_issued":"2023-08","date_published":"2023-08","updated_at":"2026-07-22T22:24:57Z","subjects":["Open Quantum System","Quantum Information Theory","Large Deviation","Stability Properties."],"languages":["en","eng"],"rights":["Copyright 2023 Peixue Wu"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://hdl.handle.net/2142/121293","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Junge, Marius","Song, Renming","Leditzky, Felix","Dey, Partha","Araiza, Roy"]},{"key":"dc:creator","label":"Author","values":["Wu, Peixue"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2023-08","2023-07-10"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Open Quantum System","Quantum Information Theory","Large Deviation","Stability Properties."]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en","eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2023 Peixue Wu"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://hdl.handle.net/2142/121293"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2025-08-01","The student, Peixue Wu, accepted the attached license on 2023-05-01 at 12:53.","The student, Peixue Wu, submitted this Dissertation for approval on 2023-05-01 at 14:14.","This Dissertation was approved for publication on 2023-07-10 at 16:36.","DSpace SAF Submission Ingestion Package generated from Vireo submission #19270 on 2023-12-04 at 17:17:43","We study how we can design a dissipative open quantum system such that the system will be driven to a subspace. We study its stability properties and propose a random model for a class of dynamics.Moreover, we establish large deviation inequalities via different approaches. The dissertation consists of six chapters. In Chapter 1, we briefly review the background and state our main result. Chapter 2 is devoted to some preliminaries. In Chapter 3, we study the stability properties via completely dissipative generators, also known as gradient forms. Our perturbation is not limited to local perturbations. Chapter 4 is devoted to a discrete random model. We establish a general deviation inequalities. The model we consider is given by random unitary channel but we do not assume any symmetry. Chapter 5 is devoted to a continuous random model. We establish large deviation principle via potential theory. Finally in Chapter 6, we discuss how we can derive large deviation principles from group transference technique."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Dynamical approach in quantum information theory"]}]}],"canonical_facts":{"dc:contributor":["Junge, Marius","Song, Renming","Leditzky, Felix","Dey, Partha","Araiza, Roy"],"dc:creator":["Wu, Peixue"],"dc:date":["2023-08","2023-07-10"],"dc:description":["Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2025-08-01","The student, Peixue Wu, accepted the attached license on 2023-05-01 at 12:53.","The student, Peixue Wu, submitted this Dissertation for approval on 2023-05-01 at 14:14.","This Dissertation was approved for publication on 2023-07-10 at 16:36.","DSpace SAF Submission Ingestion Package generated from Vireo submission #19270 on 2023-12-04 at 17:17:43","We study how we can design a dissipative open quantum system such that the system will be driven to a subspace. We study its stability properties and propose a random model for a class of dynamics.Moreover, we establish large deviation inequalities via different approaches. The dissertation consists of six chapters. In Chapter 1, we briefly review the background and state our main result. Chapter 2 is devoted to some preliminaries. In Chapter 3, we study the stability properties via completely dissipative generators, also known as gradient forms. Our perturbation is not limited to local perturbations. Chapter 4 is devoted to a discrete random model. We establish a general deviation inequalities. The model we consider is given by random unitary channel but we do not assume any symmetry. Chapter 5 is devoted to a continuous random model. We establish large deviation principle via potential theory. Finally in Chapter 6, we discuss how we can derive large deviation principles from group transference technique."],"dc:format":["application/pdf"],"dc:identifier":["https://hdl.handle.net/2142/121293"],"dc:language":["en","eng"],"dc:rights":["Copyright 2023 Peixue Wu"],"dc:subject":["Open Quantum System","Quantum Information Theory","Large Deviation","Stability Properties."],"dc:title":["Dynamical approach in quantum information theory"],"dc:type":["text"],"thesis:degree_discipline":["Mathematics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:24:57Z"}