[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-117478-en":3,"doc-seo-117478-105":30,"detail-sidebar-cat-0-en-105":91},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":4,"is_deleted":4,"is_public":20,"is_downloadable":20,"audit_status":20,"page_count":21,"language":22,"language_code":23,"site_id":24,"html_lang":23,"table_of_contents":25,"faqs":26,"seo_title":27,"seo_description":14,"update_tm":28,"read_time":29},117478,1099514067415,"Rowan","https://ap-avatar.wpscdn.com/avatar/100002539d78ffe74a7?x-image-process=image/resize,m_fixed,w_180,h_180&k=1779092875211072502",8,"Research & Report","Quantum Geometric Machine Learning - Thesis","Quantum Geometric Machine Learning is a doctoral thesis submitted for the PhD degree at the University of Technology Sydney. The work includes an academic framework and contributions spanning theory, algorithms, and code development for quantum-machine-learning datasets and methods, with projects supervised by Christopher Ferrie and Dacheng Tao. Publication records are listed for included chapters, covering quantum datasets for machine learning and quantum geometric machine learning, as well as an additional study on solving the I\u003CP problem using the Global Cartan Decomposition.","Quantum Geometric Machine Learning  \nby Elija Perrier  \nThesis submitted in fulfillment of the requirements of the degree of  \nDoctor of Philosophy  \nunder the supervision of  \nA/Prof. Dr. Christopher Ferrie  \nProf. Dr. Dacheng Tao  \nUniversity of Technology Sydney Faculty of Engineering and Information Technology  \nMay, 2024  \nAcknowledgments  \nI would like to thank my principal supervisor Associate Professor Dr. Christopher Ferrie for his patient, instructive and illuminating supervision throughout the tenure of my research. In addition, I would like to thank A/P Ferrie for the opportunity to participate in an AUSMURI collaborative research project while working with senior and experienced researchers across quantum science disciplines. I would like to acknowledge and thank my co-supervisor, Professor Dr. Dacheng Tao, for his counsel and informative advice, especially relating to information theory, machine learning and other computational science. I would like to express particular gratitude to Dr. Christopher Jackson of the University of Waterloo. Dr Jackson’s insights and mentorship have had a significant positive impact on both my research and academic career. I would like to acknowledge the significant assistance of the iHPC training facility at UTS, whose resources and expertise were important elements in running large-scale quantum simulations over several months and years. I would like to acknowledge the generous financial support provided by the Australian Government via the Australian Research Training Program scholarship and by the UTS Faculty of Engineering and Information Technology. I would like to thank staff, faculty and students (past and present) at the Centre for Quantum Software and Information, UTS. In particular, I acknowledge the support and discussions with colleagues Professor Dr. Michael Bremner, Associate Professor Dr. Simon Devitt and Professor Dr. Min-Hsiu Hsieh, together with Dr. Akram Youssry, Dr. Arinta Auza, Dr. Maria Quadeer and Lirnad¨e Pira. I would like to also thank my academic colleagues at the Australian National University whose engagement on deep learning, artificial intelligence and other technical matters was highly beneficial, especially Professor Dr. Seth Lazar of the ANU, Professor Dr. Tiberio Caetano of the Gradient Institute and Professor Dr. Kimberlee Weatherill of the University of Sydney. I would like to also thank colleagues at Stanford University, including Mauritz Kop and encouragement from Professor Dr. Mateo Aboy at Cambridge University.  \nFinally I would like to thank my family including my mother, Janice Perrier, whose help in caring for our young children (including a newborn) over many months was a lifesaver, and my aunt, Alexsis Starcevich, whose support made that help possible. Also thank you to my father Chris Perrier and his wife Cecilia Basile, and my sister, Mirabai Perrier, who in the final weeks gave her all.  \nMost of all, I would like to express unending gratitude to my partner, Paige Newman and my children, Violet Perrier-Newman and Scarlett Perrier-Newman. Their sacrifices in time, space and attention to accommodate and support my research were essential, without which I could not have completed this work, especially during the challenging period of the COVID-19 pandemic through which this thesis was formulated.  \nThis is a THESIS BY COMPILATION. Parts of this thesis have been already published. The content have been edited to suit the formatting of the thesis and to  \nmaintain its coherence.  \nDECLARATION OF PUBLICATIONS INCLUDED IN THE THESIS  \n\n| Chapter Name Authors\u003Cbr>Contributions\u003Cbr>Status Address Signatures | 3\u003Cbr>QDataSet: quantum datasets for machine learning\u003Cbr>Elija Perrier, Akram Youssry, Dacheng Tao, Christopher Fer rie\u003Cbr>AY and EP developed the theory and algorithms, wrote the code and first draft of the paper. All the authors contributed to editing the paper. CF and DT supervised the project. Published\u003Cbr>[https://doi.org/10.1088/1367-2","cbCaifxo6JzSu4f5","https://ap.wps.com/l/cbCaifxo6JzSu4f5","pdf",4677940,1,495,"English","en",105,"# Acknowledgments\n# Declaration of Publications Included in the Thesis\n## Chapter 3: QDataSet: quantum datasets for machine learning\n## Chapter 4: Quantum geometric machine learning\n## Chapter 5: Solving the I\u003CP problem with the Global Cartan Decomposition","[{\"question\":\"Who supervised the thesis work?\",\"answer\":\"The thesis is supervised by A/Prof. Dr. Christopher Ferrie and Prof. Dr. Dacheng Tao.\"},{\"question\":\"Which chapter titles are declared as included publications?\",\"answer\":\"The declared chapters include “QDataSet: quantum datasets for machine learning,” “Quantum geometric machine learning,” and “Solving the I\\u003cP problem with the Global Cartan Decomposition.”\"},{\"question\":\"What is the status of the publication for Chapter 5?\",\"answer\":\"Chapter 5 is listed as “Under review.”\"}]","Quantum Geometric Machine Learning - Thesis | PDF",1785676086,1247,{"code":4,"msg":31,"data":32},"ok",{"site_id":24,"language":23,"slug":33,"title":13,"keywords":34,"description":14,"schema_data":35,"social_meta":86,"head_meta":88,"extra_data":90,"updated_unix":28},"quantum-geometric-machine-learning-thesis","",{"@graph":36,"@context":85},[37,54,68],{"@type":38,"itemListElement":39},"BreadcrumbList",[40,44,48,51],{"item":41,"name":42,"@type":43,"position":20},"https://docshare.wps.com","Home","ListItem",{"item":45,"name":46,"@type":43,"position":47},"https://docshare.wps.com/document/","Document",2,{"item":49,"name":12,"@type":43,"position":50},"https://docshare.wps.com/document/research-report/",3,{"item":52,"name":13,"@type":43,"position":53},"https://docshare.wps.com/document/quantum-geometric-machine-learning-thesis/117478/",4,{"url":52,"name":13,"@type":55,"author":56,"headline":13,"publisher":58,"fileFormat":61,"inLanguage":23,"description":14,"dateModified":62,"datePublished":62,"encodingFormat":61,"isAccessibleForFree":63,"interactionStatistic":64},"DigitalDocument",{"name":9,"@type":57},"Person",{"url":41,"name":59,"@type":60},"DocShare","Organization","application/pdf","2026-08-02",true,{"@type":65,"interactionType":66,"userInteractionCount":4},"InteractionCounter",{"@type":67},"ViewAction",{"@type":69,"mainEntity":70},"FAQPage",[71,77,81],{"name":72,"@type":73,"acceptedAnswer":74},"Who supervised the thesis work?","Question",{"text":75,"@type":76},"The thesis is supervised by A/Prof. Dr. Christopher Ferrie and Prof. Dr. Dacheng Tao.","Answer",{"name":78,"@type":73,"acceptedAnswer":79},"Which chapter titles are declared as included publications?",{"text":80,"@type":76},"The declared chapters include “QDataSet: quantum datasets for machine learning,” “Quantum geometric machine learning,” and “Solving the I\u003CP problem with the Global Cartan Decomposition.”",{"name":82,"@type":73,"acceptedAnswer":83},"What is the status of the publication for Chapter 5?",{"text":84,"@type":76},"Chapter 5 is listed as “Under review.”","https://schema.org",{"og:url":52,"og:type":87,"og:title":13,"og:site_name":59,"og:description":14},"article",{"robots":89,"canonical":52},"index,follow",{"doc_id":7,"site_id":24},{"code":4,"msg":5,"data":92},[93,97,101,105,110,115,120,123,128,131,135],{"id":20,"doc_module":4,"doc_module_name":46,"category_name":94,"show_sort_weight":95,"slug":96},"Story & Novel",90,"story-novel",{"id":47,"doc_module":4,"doc_module_name":46,"category_name":98,"show_sort_weight":99,"slug":100},"Literature",80,"literature",{"id":53,"doc_module":4,"doc_module_name":46,"category_name":102,"show_sort_weight":103,"slug":104},"Exam",70,"exam",{"id":106,"doc_module":4,"doc_module_name":46,"category_name":107,"show_sort_weight":108,"slug":109},5,"Comic",60,"comic",{"id":111,"doc_module":4,"doc_module_name":46,"category_name":112,"show_sort_weight":113,"slug":114},6,"Technology",50,"technology",{"id":116,"doc_module":4,"doc_module_name":46,"category_name":117,"show_sort_weight":118,"slug":119},7,"Healthcare",40,"healthcare",{"id":11,"doc_module":4,"doc_module_name":46,"category_name":12,"show_sort_weight":121,"slug":122},30,"research-report",{"id":124,"doc_module":4,"doc_module_name":46,"category_name":125,"show_sort_weight":126,"slug":127},9,"Religion & Spirituality",20,"religion-spirituality",{"id":126,"doc_module":4,"doc_module_name":46,"category_name":129,"show_sort_weight":126,"slug":130},"World Cup","world-cup",{"id":132,"doc_module":4,"doc_module_name":46,"category_name":133,"show_sort_weight":132,"slug":134},10,"Lifestyle","lifestyle",{"id":136,"doc_module":4,"doc_module_name":46,"category_name":137,"show_sort_weight":106,"slug":138},19,"General","general"]