[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-118320-en":3,"doc-seo-118320-105":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},118320,7971461740909,"Levi","https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d",6,"Technology","Introduction to Quantum Machine Learning - WAW ML 10 - Slides","The slides introduce the foundations of quantum computing and connect them to quantum machine learning (QML). They explain qubits as quantum states using superposition, describe measurement and wavefunction collapse, and expand from single qubits to multi-qubit systems and entanglement. Core gate-model concepts are covered through unitary operations and examples of key single- and two-qubit gates. The talk then moves to basic QML ideas including data encoding, model Ansatzes, and coding demos for supervised and generative learning, finishing with challenges and an outlook.","INTRODUCTION TO  \nQUANTUM MACHINE LEARNING  \nOliver Sefrin, DLR-QT (Ulm)  \nWAW ML 10, 23.09.2024  \n2  \nContent  \n1. Basics of Quantum Computing  \n▪ From Qubits to Quantum Circuits  \n▪ Technological Realizations  \n▪ Algorithms & Applications  \n2. Quantum Machine Learning  \n▪ Basic Ideas  \n▪ Data Encoding  \n▪ Model Ansätze  \nOliver Sefrin, QT, 23.09.2024  \n3. Coding Demos  \n▪ Supervised Learning  \n▪ Generative Learning  \n4. Wrap-Up  \n▪ Challenges in QML  \n▪ Conclusion & Outlook  \nBreak of 10 mins at ~10:30  \nQuantum Computing Basics  \nHistory of Quantum Physics and Quantum Computing  \n1900’s:  \n-first ideas of quantized energy & light  \n-wave-particle duality  \n1920’s: development of quantum mechanics  \n1980 & 1981: proposal of quantum computers to simulate quantum physics  \n1994 & 1996: Shor algorithm (factorization), Grover algorithm (search)  \n5  \nQubits & Quantum Superposition  \nThe quantum bit or qubit has two basis states, e.g. ,  \nȁ0ۧ ≡ 10 and ȁ1ۧ ≡ 01 ∈ ℂ 2  \nIn general, the qubit’s state can be in any linear combination  \nȁ􀟰ۧ = 􀟙ȁ0ۧ + 􀟚ȁ1ۧ  \nwith 􀟙 , 􀟚 ∈ ℂ,  􀟙  2 + 􀟚  2 = 1 .  \nThis is called superposition.  \n[https://de.wikipedia.org/wiki/Bloch-Kugel](https://de.wikipedia.org/wiki/Bloch-Kugel)  \nOnly a measurement lets the wavefunction collapse to a basis state:  \n􀝌 \"measure ȁ0ۧ \"  = 􀟙  2  \nOliver Sefrin, QT, 23.09.2024 􀝌 \"measure ȁ1ۧ \"  =  􀟚  2  \nMultiple Qubits  \n▪ Cf. classical bits:  \n􀝊 bits → 2􀯡 combinations  \ne. g. , 􀝊 = 3: 000, 001,…, 110, 111  \n8 combinations  \n▪ Qubits:  \n▪ Qubit A in state ȁ0ۧ and qubit B in state ȁ1ۧ → joint state: ȁ0ۧ􀮺ȁ1ۧ􀮻 ≡ ȁ01ۧ􀮺􀮻  \n▪ Qubit A in state ~~ ~~12 (ȁ0ۧ + ȁ1ۧ) and qubit B in state ~~ ~~12 (ȁ0ۧ − ȁ1ۧ)  \n→ joint state: ~~ ~~12 ȁ0ۧ􀮺 + ȁ1ۧ􀮺 ∗ ~~ ~~12 ȁ0ۧ􀮻 ȁ1ۧ􀮻 = 12  ȁ00ۧ − ȁ01ۧ + ȁ10ۧ − ȁ11ۧ   \n→ superposition of 2􀯡 states possible  \nOperations on Qubits  \n▪ Gate logic as in classical computer science  \n▪ Operations have to be unitary (i.e. , norm-preserving)  \n▪ Important single-qubit gates:  \n▪ NOT gate  \n▪ Hadamard gate  \n▪ Pauli rotations  \nȁ0ۧ ↦ ȁ1ۧ ,  \nȁ0ۧ ↦ ~~ ~~12  ȁ0ۧ + ȁ1ۧ ,  \nȁ1ۧ ↦ ȁ0ۧ  \nȁ1ۧ ↦ ~~ ~~12  ȁ0ۧ − ȁ1ۧ   \n▪ Two-qubit gates:  \n▪ Controlled-NOT gate ȁ0ۧ controlȁ0ۧtarget ↦ ȁ0ۧ controlȁ0ۧtarget ȁ0ۧ controlȁ1ۧtarget ↦ ȁ0ۧ controlȁ1ۧtarget ȁ1ۧ controlȁ0ۧtarget ↦ ȁ1ۧ controlȁ1ۧtarget ȁ1ۧ controlȁ1ۧtarget ↦ ȁ1ۧ controlȁ0ۧtarget  \n[https://de.wikipedia.org/wiki/Bloch-Kugel](https://de.wikipedia.org/wiki/Bloch-Kugel)  \nUniversal Gate Sets  \n▪ We can approximate any unitary operation with finite sequence of operations from universal gate set  \n▪ Ex.: {Hadamard-gate, Pauli-Rotations, CNOT-gate}  \n→ any n-qubit operation can be decomposed into one-and two-qubit gates  \nEntanglement  \n▪ “quantum correlation”  \n▪ Multi-qubit state ȁ􀟰ۧAB cannot be expressed as product of subsystems ȁ􀟮ۧ􀮺 and ȁ􀟛ۧ􀮻  \n▪ Ex.:  \n▪ ~~ ~~12 (ȁ00ۧAB + ȁ11ۧAB ) is entangled  \n▪  1   ȁ01ۧAB + ȁ11ۧAB  =  1   ȁ0ۧA + ȁ1ۧA  ⊗ ȁ1ۧ B is not entangled 2 2  \n▪ Capability to create entanglement is a crucial resource in QC  \nCircuit Diagrams  \nImplicit initialization of qubits as ȁ0ۧ  \nHadamauli-X-Rotations  \nTime  \nCNOTs Measurement","cbCaiu1zUreIZqOx","https://ap.wps.com/l/cbCaiu1zUreIZqOx","pdf",1374569,1,34,"English","en",105,"# Content\n## Basics of Quantum Computing\n## Quantum Machine Learning\n## Coding Demos\n## Wrap-Up","[{\"question\":\"What is a qubit and how does superposition work in quantum computing?\",\"answer\":\"A qubit has two basis states and can exist in a linear combination of them, called superposition. The state coefficients satisfy a normalization condition, and only measurement collapses the wavefunction to a basis state.\"},{\"question\":\"Why must quantum gate operations be unitary?\",\"answer\":\"Quantum operations must preserve probabilities, which corresponds to unitary transformations that keep the state norm constant. This ensures valid evolution of quantum states through circuits.\"},{\"question\":\"What are the main components of quantum machine learning covered here?\",\"answer\":\"The slides focus on basic QML ideas, data encoding, and model Ansatzes. They also include coding demos for supervised learning and generative learning.\"}]","Introduction to Quantum Machine Learning - WAW ML 10 - Slides | PDF",1785683039,86,{"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},"introduction-to-quantum-machine-learning-waw-ml-10-slides","",{"@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/technology/",3,{"item":52,"name":13,"@type":43,"position":53},"https://docshare.wps.com/document/introduction-to-quantum-machine-learning-waw-ml-10-slides/118320/",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},"What is a qubit and how does superposition work in quantum computing?","Question",{"text":75,"@type":76},"A qubit has two basis states and can exist in a linear combination of them, called superposition. The state coefficients satisfy a normalization condition, and only measurement collapses the wavefunction to a basis state.","Answer",{"name":78,"@type":73,"acceptedAnswer":79},"Why must quantum gate operations be unitary?",{"text":80,"@type":76},"Quantum operations must preserve probabilities, which corresponds to unitary transformations that keep the state norm constant. This ensures valid evolution of quantum states through circuits.",{"name":82,"@type":73,"acceptedAnswer":83},"What are the main components of quantum machine learning covered here?",{"text":84,"@type":76},"The slides focus on basic QML ideas, data encoding, and model Ansatzes. They also include coding demos for supervised learning and generative learning.","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},[93,97,101,105,110,113,118,123,128,131,135],{"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":11,"doc_module":4,"doc_module_name":46,"category_name":12,"show_sort_weight":111,"slug":112},50,"technology",{"id":114,"doc_module":4,"doc_module_name":46,"category_name":115,"show_sort_weight":116,"slug":117},7,"Healthcare",40,"healthcare",{"id":119,"doc_module":4,"doc_module_name":46,"category_name":120,"show_sort_weight":121,"slug":122},8,"Research & Report",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"]