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-Permanent Zoom link for the whole semester is https://uio.zoom.us/my/mortenhj
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## January 20-24, 2025. Overview of first week, Basic Notions of Quantum Mechanics
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## January 19-23, 2026. Overview of first week, Basic Notions of Quantum Mechanics
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- Definitions, Linear Algebra reminder, Hilbert Space, Operators on Hilbert Spaces, Composite Systems
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- Definitions
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- Mathematical notation, Hilbert spaces and operators
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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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## January 27 - January 31, 2025. Composite Systems and Tensor Products
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## January 26 - January 30, 2026. Composite Systems and Tensor Products
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- Spectral decomposition and measurements
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- Density matrices
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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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- Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesJanuary29.pdf
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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 3-7, 2025. Density matrices and Measurements
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## February 2-6, 2026. Density matrices and Measurements
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- Discussion of gates and project 1
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- Quantum gates and circuits
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- Developing our own codes for Bell states and comparing with qiskit
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- Teaching material in different formats at https://github.com/CompPhysics/QuantumComputingMachineLearning/tree/gh-pages/doc/pub/week3
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## February 10-14, 2025. Entanglement and entropies
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## February 9-13, 2026. Entanglement and entropies
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- Reminder from last week on gates and circuits
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- One-qubit and two-qubit gates, background and realizations
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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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- Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesFebruary12.pdf
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- Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2026/NotesFebruary12.pdf
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## February 17-21, 2025.
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## February 16-20, 2026.
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- Entanglement and Schmidt decomposition
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- Entropy as a measurement of entanglement
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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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- Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesFebruary19.pdf
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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 24-28, 2025. Quantum gates and circuits and Quantum Fourier Transform and Hamiltonians
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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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- Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesFebruary26.pdf
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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 3-7, 2025. Algorithms for solving quantum mechanical problems.
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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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- Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesMarch5.pdf
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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 10-14, 2025. Solving quantum mechanical problems
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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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- Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesMarch12.pdf
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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 17-21, 2025. Discussions of project 1 and work on the VQE
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## March 16-20, 2026. Discussions of project 1 and work on the VQE
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- Lipkin model and VQE
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- Discussion of project 1 and work on finalizing project
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- Teaching material in different formats at https://github.com/CompPhysics/QuantumComputingMachineLearning/tree/gh-pages/doc/pub/week9
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## March 24-28, 2025
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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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- Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesMarch26.pdf
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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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## March 31-April 4, 2025
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## March 30-April 3, 2026
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- Discrete Fourier transforms (DFTs, reminder from last week) ) and the fast Fourier Transform (FFT)
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- Quantum Fourier transforms (QFTs), reminder from last week
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- Setting up circuits for QFTs
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- Reading recommendation Hundt, Quantum Computing for Programmers, sections 6.1-6.4 on QFT and QPE.
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## April 7-11, 2025
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## April 7-11, 2026
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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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- Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesApril7.pdf
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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 14-18, 2025, Public holidays in Norway no classes
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## April 14-18, 2026, Public holidays in Norway no classes
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## April 21-15, 2025 Quantum Machine Learning
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## April 21-15, 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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- Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesApril23.pdf
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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 28-May 2, 2025 Quantum machine learning
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## April 28-May 2, 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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- Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesApril30.pdf
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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 5-9, 2025 Quantum Machine Learning
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## May 5-9, 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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- Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesMay7.pdf
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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 12-16, 2025
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## May 12-16, 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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- Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesMay14.pdf
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- Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2026/NotesMay14.pdf
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