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- Mathematical notation, Hilbert spaces and operators
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- Description of Quantum Systems and one-qubit systems
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- States in Hilbert Space, pure and mixed states
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- Video of lecture at https://youtu.be/YRobDADb63E
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- Video of lecture to be added https://youtu.be/
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- Teaching material in different formats at https://github.com/CompPhysics/QuantumComputingMachineLearning/tree/gh-pages/doc/pub/week1
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- _Reading recommendation_: Scherer chapter 2
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- Entanglement, pure and mixed states
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v- Teaching material in different formats at https://github.com/CompPhysics/QuantumComputingMachineLearning/tree/gh-pages/doc/pub/week2
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- _Reading recommendation_: Scherer chapter 2 and sections 3.1-3.3. Hundt, Quantum Computing for Programmers, chapter 2.1-2.5. Hundt's text is relevant for the programming part where we build from scratch the ingredients we will need.
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- Video of lecture at https://youtu.be/T7l-rciM0N0
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- Video of lecture to be added https://youtu.be/
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- Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2026/NotesJanuary29.pdf
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## February 2-6, 2026. Density matrices and Measurements
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- Simple Hamiltonian systems
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- Teaching material in different formats at https://github.com/CompPhysics/QuantumComputingMachineLearning/tree/gh-pages/doc/pub/week4
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- _Reading recommendation_: For the discussion of one-qubit, two-qubit and other gates, sections 2.6-2.11 and 3.1-3.4 of Hundt's book Quantum Computing for Programmers, contain most of the relevant information.
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- Video of lecture at https://youtu.be/UcfOVvFyw2E
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- Video of lecture to be added https://youtu.be/
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- Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2026/NotesFebruary12.pdf
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- Simple one-qubit and two-qubit Hamiltonians
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- Teaching material in different formats at https://github.com/CompPhysics/QuantumComputingMachineLearning/tree/gh-pages/doc/pub/week5
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- _Reading recommendation_: For the discussion of one-qubit, two-qubit and other gates, sections 2.6-2.11, 3.1-3.4 and 6.11.1-.6.11.3 of Hundt's book Quantum Computing for Programmers, contain most of the relevant information.
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- Video of lecture at https://youtu.be/caR8AQM6Rwo
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- Video of lecture to be added https://youtu.be/
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- Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2026/NotesFebruary19.pdf
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## February 23-27, 2026. Quantum gates and circuits and Quantum Fourier Transform and Hamiltonians
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- Quantum gates and operations and simple quantum algorithms
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- Discussion of the VQE algorithm and discussions of project 1
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- Video of lecture at https://youtu.be/13JyMS50beg/
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- Video of lecture to be added https://youtu.be/
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- Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2026/NotesFebruary26.pdf
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- Teaching material in different formats at https://github.com/CompPhysics/QuantumComputingMachineLearning/tree/gh-pages/doc/pub/week6
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## March 2-6, 2026. Algorithms for solving quantum mechanical problems.
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- VQE and adaptive VQE, Variational Quantum Eigensolver and discussion of codes
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- Simulations of of Hamiltonians, focus on the one- and two-qubit Hamiltonians
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- Start discussions of Lipkin model
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- Video of lecture at https://youtu.be/jGtcEc85VbE
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- Video of lecture to be added https://youtu.be/
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- Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2026/NotesMarch5.pdf
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- Teaching material in different formats at https://github.com/CompPhysics/QuantumComputingMachineLearning/tree/gh-pages/doc/pub/week7
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## March 9-13, 2026. Solving quantum mechanical problems
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- Lipkin model and VQE
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- Teaching material in different formats at https://github.com/CompPhysics/QuantumComputingMachineLearning/tree/gh-pages/doc/pub/week8
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- Video of lecture at https://youtu.be/hdUnJcJGigw
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- Video of lecture to be added https://youtu.be/
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- Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2026/NotesMarch12.pdf
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## March 23-27, 2026
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- Quantum Fourier Transforms, algorithm and implementation
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- Quantum phase estimation algorithm
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- Video of lecture at https://youtu.be/UHqBk1eQT6E
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- Video of lecture to be added https://youtu.be/
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- Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2026/NotesMarch26.pdf
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- Teaching material in different formats at https://github.com/CompPhysics/QuantumComputingMachineLearning/tree/gh-pages/doc/pub/week10
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- Setting up circuits for QFTs
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- Quantum phase estimation algorithm (QPE)
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- Reading recommendation Hundt, Quantum Computing for Programmers, sections 6.1-6.4 on QFT and QPE.
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- Video of lecture at https://youtu.be/3myI1qFLVN8
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- Video of lecture to be added https://youtu.be/
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- Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2026/NotesApril7.pdf
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## April 20-24, 2026 Quantum Machine Learning
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- Basics of quantum machine learning and discussion of support vector machines
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- Video of lecture at https://youtu.be/C36Kg4eaO7A
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- Video of lecture to be added https://youtu.be/
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- Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2026/NotesApril23.pdf
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## April 27-May 1, 2026 Quantum machine learning
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- Classical Support Vector Machines, reminder from last week
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- Classical Kernels and transition to Quantum Kernels
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- Quantum Support Vector Machines
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- Video of lecture at https://youtu.be/L-c4EBMinwM
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- Video of lecture to be added https://youtu.be/
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- Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2026/NotesApril30.pdf
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## May 4-8, 2026 Quantum Machine Learning
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- Quantum support vector machines, theory and code examples
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- Quantum neural networks, theory and code examples
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- Video of lecture, first part at https://youtu.be/L9kvkEW1ZgQ
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- Video of lecture, second part with discussion of codes at https://youtu.be/73V0LipuHac
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- Video of lecture to be added at https://youtu.be/
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- Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2026/NotesMay7.pdf
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## May 11-15, 2026
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- Quantum neural networks, theory and code examples, contn from last week
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- Quantum and classical Boltzmann machines
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- Video of lecture at https://youtu.be/icHV-pgq6uQ
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- Video of lecture to be added https://youtu.be/
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- Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2026/NotesMay14.pdf
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