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# Quantum Computing and Quantum Machine Learning
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The first part of the course (project 1 and till mid march) has its focus on studies of
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quantum-mechanical many-particle systems using quantum computing
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algorithms and quantum computers. The second part is optional and
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depends on the interests and backgrounds of the participants. Two main
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themes can be covered:
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- Quantum machine learning algorithms, implementations and studies
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- Realization and studies of entanglement in physical systems
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- Advanced VQE and hamiltonian systems
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### Possible textbooks:
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- Maria Schuld and Francesco Petruccione, Machine Learning with Quantum Computers, see https://link.springer.com/book/10.1007/978-3-030-83098-4
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- Wolfgang Scherer, Mathematics of Quantum Computing, see https://link.springer.com/book/10.1007/978-3-030-12358-1
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- Robert Hundt, Quantum Computing for Programmers, https://www.cambridge.org/core/books/quantum-computing-for-programmers/BA1C887BE4AC0D0D5653E71FFBEF61C6
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- Robert Loredo, Learn Quantum Computing with Python and IBM Quantum Experience, see https://github.com/PacktPublishing/Learn-Quantum-Computing-with-Python-and-IBM-Quantum-Experience
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### Interesting online courses and software:
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- IBM's Quantum Computer Programming: Hands-On Workshop at https://quantgates.com/learn-quantum
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- QuTip at https://github.com/qutip
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- QisKit at https://www.ibm.com/quantum/qiskit
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- PySCF for traditional quantum mechanical methods at https://pyscf.org/user/install.html#how-to-install-pyscf. This library can be integrated with QisKit for quantum computing simulations.
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- Qbraid at https://www.qbraid.com
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### Time: Each Wednesday at 215pm-4pm CET and exercise sessions 4pm-5pm (The lecture sessions will be recorded)
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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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- 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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- 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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- 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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- 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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## February 3-7, 2025. 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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- 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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## February 17-21, 2025.
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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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## February 24-28, 2025. 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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- 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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- 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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- 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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- 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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## March 17-21, 2025. 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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- 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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- 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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- 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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- 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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## April 7-11, 2025
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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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## April 14-18, 2025, Public holidays in Norway no classes
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## April 21-15, 2025
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- Quantum Machine Learning
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## April 28-May 2, 2025
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- Quantum machine learning
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## May 5-9, 2025
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- Quantum machine learning
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## May 12-16, 2025
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- Quantum machine learning
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- Summary of course

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