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doc/src/week11/week11.do.txt

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TITLE: Quantum Computing, Quantum Machine Learning and Quantum Information Theories
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AUTHOR: Morten Hjorth-Jensen {copyright, 1999-present|CC BY-NC} at Department of Physics, University of Oslo & Department of Physics and Astronomy and Facility for Rare Isotope Beams, Michigan State University
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AUTHOR: Morten Hjorth-Jensen {copyright, 1999-present|CC BY-NC} at Department of Physics, University of Oslo, Norway
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DATE: April 2, 2025
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===== Plans for the week of March 31-April 4, 2025 =====
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o Discrete Fourier transforms (DFTs) and the fast Fourier Transform (FFT)
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o Quantum Fourier transforms (QFTs), basic mathematical expressions
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o Discrete Fourier transforms (DFTs, reminder from last week) ) and the fast Fourier Transform (FFT)
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o Quantum Fourier transforms (QFTs), reminder from last week
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o Setting up circuits for QFT
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o Quantum phase estimation algorithm
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o Reading recommendation Hundt, Quantum Computing for Programmers, sections 6.1-6.4 on QFT.
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o "Video of lecture TBA":"https://youtu.be/"
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#o "Video of lecture TBA":"https://youtu.be/"
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#o "Whiteboard notes":"https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2024/NotesApril3.pdf"
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===== Possible paths for project 2 =====
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* Implement QFTs
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* Study other algorithms
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o Deutsch-Jozsa algorithm: Determine if a function is constant or balance using the fewest number of queries.
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o SImon's algorithm: Determine if a function (Oracle) is one-to-one or two-to-one
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o Grover's algorithm: Search unstructured list of data fast
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o Possibly: Shor's algorithm and how to Factorize integers efficiently
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* Study the solution of quantum mechanical eigenvalue problems with systems from atomic/molecular physics and quantum chemistry
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* Quantum machine learning projects, quantum boltzmann machines or related topics
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#For project 2, in order to be time efficient, you can use software like Qiskit, Pennylane, qBraid and/or other
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===== Brief reminder on Fourier transforms =====
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Last week we reviewed some basic properties of Fourier transforms. We restate some of these results here.
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Last week we reviewed some basic properties of Fourier transforms and derived the expressions for the quantum Fourier variant.
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We restate some of these results here.
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"For more information, see slides from previous week":"https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/pub/week10/ipynb/week10.ipynb"
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