Quantum Computing and Quantum Machine Learning

Recommended textbooks:

• Maria Schuld and Francesco Petruccione, Machine Learning with Quantum Computers, see https://link.springer.com/book/10.1007/978-3-030-83098-4
• Wolfgang Scherer, Mathematics of Quantum Computing, see https://link.springer.com/book/10.1007/978-3-030-12358-1
• Robert Hundt, Quantum Computing for Programmers, https://www.cambridge.org/core/books/quantum-computing-for-programmers/BA1C887BE4AC0D0D5653E71FFBEF61C6
• 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

Time: Each Wednesday at 215pm-4pm CET (The sessions will be recorded)

-Permanent Zoom link for the whole semester:

• https://msu.zoom.us/j/6424997467?pwd=ZW5jSGtEeHJxM0dqd0draXlWY29FQT09
• Meeting ID: 642 499 7467
• Passcode: FYS4411

January 15-19, 2024. Overview of first week, Basic Notions of Quantum Mechanics

• Definitions, Linear Algebra reminder, Hilbert Space, Operators on Hilbert Spaces, Composite Systems
  • Definitions
  • Mathematical notation, Hilbert spaces and operators
  • Description of Quantum Systems and one-qubit systems
  • States in Hilbert Space, pure and mixed states
  • Link to video of lecture https://youtu.be/YRobDADb63E
  • Handwritten notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2024/NotesJanuary17.pdf
• Teaching material in different formats at https://github.com/CompPhysics/QuantumComputingMachineLearning/tree/gh-pages/doc/pub/week1
  • Reading recommendation: Scherer, Mathematics of Quantum Computations, chapter 2

January 22 - January 26, 2024. Composite Systems and Tensor Products

• Spectral decomposition and measurements
• Density matrices
• Simple Hamiltonians and other operators
• Video of lecture at https://youtu.be/E1dhiboQHis
• Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2024/NotesJanuary24.pdf
• Teaching material in different formats at https://github.com/CompPhysics/QuantumComputingMachineLearning/tree/gh-pages/doc/pub/week2
  • Reading recommendation: Scherer, Mathematics of Quantum Computations, chapter 2

January 29-February 2, 2024. Density matrices and Measurements

• Spectral decomposition and measurements
• Density matrices
• Entanglement and Schmidt decomposition
• Entropies
• Video of lecture at https://youtu.be/6v5iqPmQIFM
• Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2024/NotesJanuary31.pdf
• Teaching material in different formats at https://github.com/CompPhysics/QuantumComputingMachineLearning/tree/gh-pages/doc/pub/week3
  • Reading recommendation: Scherer, Mathematics of Quantum Computations, xxx

February 5-9, 2024. Entanglement and entropies

• Entanglement and Schmidt decomposition
• Entropy as a measurement of entanglement
• Introduction to gates and calculations
• Video of lecture https://youtu.be/XP9z8z6ptWI
• Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2024/NotesFebruary7.pdf
• Teaching material in different formats at https://github.com/CompPhysics/QuantumComputingMachineLearning/tree/gh-pages/doc/pub/week4
  • Reading recommendation: Hundt, chapter 2 and 3

February 12-16, 2024.

• Quantum gates and circuits
• Developing our own codes for Bell states and comparing with qiskit
• Video of lecture at https://youtu.be/9XrDKgTQL6I
• Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2024/NotesFebruary14.pdf
• Teaching material in different formats at https://github.com/CompPhysics/QuantumComputingMachineLearning/tree/gh-pages/doc/pub/week5

February 19-23, 2024. Quantum gates and circuits and Quantum Fourier Transform and Hamiltonians

• Quantum gates and operations and simple quantum algorithms
• Discussion of the VQE algorithm and discussions of project 1
• Video of lecture at https://youtu.be/PW1mOn3E4eQ
• Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2024/NotesFebruary21.pdf
• Teaching material in different formats at https://github.com/CompPhysics/QuantumComputingMachineLearning/tree/gh-pages/doc/pub/week6

February 26-March 1, 2024. Algorithms for solving quantum mechanical problems.

• VQE, Variational Quantum Eigensolver and discussion of codes
• Simulations of of Hamiltonians, focus on the one-qubit Hamiltonian
• Discussion of project 1
• Video of lecture at https://youtu.be/sTf-WuA4hV8
• Teaching material in different formats at https://github.com/CompPhysics/QuantumComputingMachineLearning/tree/gh-pages/doc/pub/week7

March 4-8, 2024. Solving quantum mechanical problems

• Introducing the final Hamiltonian for project 1, the Lipkin model

• Analyzing the solution of eigenvalue problems and the VQE using the Lipkin model

• Video of lecture at https://youtu.be/mhGUTSQKR04

• Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2024/NotesMarch6.pdf

• Teaching material in different formats at https://github.com/CompPhysics/QuantumComputingMachineLearning/tree/gh-pages/doc/pub/week8

March 11-15-24, 2024. Second quantization and Hamiltonians for quantum computing, discussion of the Lipkin model

• Work on project 1
• Teaching material in different formats at https://github.com/CompPhysics/QuantumComputingMachineLearning/tree/gh-pages/doc/pub/week9

March 18-22, 2024

• Summary of project 1
• Quantum Fourier transforms and preparing for new topics and possible paths for project 2
• Video of lecture at https://youtu.be/kR-4qqtFyxQ
• Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2024/NotesMarch20.pdf
• Teaching material in different formats at https://github.com/CompPhysics/QuantumComputingMachineLearning/tree/gh-pages/doc/pub/week10

April 1-5, 2024

• Discrete Fourier transforms and fast Fourier transform
• Quantum Fourier transform
• Video of lecture at https://youtu.be/XxifXp4M2Fk
• Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2024/NotesApril3.pdf
• Teaching material in different formats at https://github.com/CompPhysics/QuantumComputingMachineLearning/tree/gh-pages/doc/pub/week11

April 8-12, 2024

• Quantum Fourier Transforms, algorithm and implementation
• Quantum phase estimation algorithm
• Video of lecture at https://youtu.be/dYJIkcd34tc
• Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2024/NotesApril10.pdf
• Teaching material in different formats at https://github.com/CompPhysics/QuantumComputingMachineLearning/tree/gh-pages/doc/pub/week12

April 15-19, 2024

• Quantum phase estimation algorithm
• Video of lecture at https://youtu.be/gNKJ_sBrPuE
• Whiteboard notes at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2024/NotesApril17.pdf
• Teaching material in different formats at https://github.com/CompPhysics/QuantumComputingMachineLearning/tree/gh-pages/doc/pub/week13

April 22-26, 2024

• Discussion of project 2
• Summary of quantum phase estimation algorithm
• Discussion of various quantum algorithms, see Hundt sections 6.4-6.6
• Reading suggestions: Hundt sections 6.4-6.6 and Nielsen and Chuang, sections 5.2-5.3
• Teaching material via whiteboard notes (typed version available later).
• Video of lecture at https://youtu.be/OZdyky8UYdk
• Whiteboard notes https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2024/NotesApril24.pdf

April 29-May 3, no lecture due to public holiday in Norway

May 6-10, 2024

• Discussion and work on project 2

May 13-17, 2024

• Discussion and work on project 2
• Summary of course

May 20-31, 2024

• The last two weeks we will mainly work on the final project.