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1 | 1 | TITLE: Quantum Computing, Quantum Machine Learning and Quantum Information Theories |
2 | | -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 |
| 2 | +AUTHOR: Morten Hjorth-Jensen {copyright, 1999-present|CC BY-NC} at Department of Physics, University of Oslo, Norway |
3 | 3 | DATE: April 2, 2025 |
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6 | 6 | !split |
7 | 7 | ===== Plans for the week of March 31-April 4, 2025 ===== |
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9 | 9 | !bblock |
10 | | -o Discrete Fourier transforms (DFTs) and the fast Fourier Transform (FFT) |
11 | | -o Quantum Fourier transforms (QFTs), basic mathematical expressions |
| 10 | +o Discrete Fourier transforms (DFTs, reminder from last week) ) and the fast Fourier Transform (FFT) |
| 11 | +o Quantum Fourier transforms (QFTs), reminder from last week |
12 | 12 | o Setting up circuits for QFT |
| 13 | +o Quantum phase estimation algorithm |
13 | 14 | o Reading recommendation Hundt, Quantum Computing for Programmers, sections 6.1-6.4 on QFT. |
14 | | -o "Video of lecture TBA":"https://youtu.be/" |
| 15 | +#o "Video of lecture TBA":"https://youtu.be/" |
15 | 16 | #o "Whiteboard notes":"https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2024/NotesApril3.pdf" |
16 | 17 | !eblock |
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18 | | - |
19 | | -!split |
20 | | -===== Possible paths for project 2 ===== |
21 | | - |
22 | | -* Implement QFTs |
23 | | -* Study other algorithms |
24 | | - o Deutsch-Jozsa algorithm: Determine if a function is constant or balance using the fewest number of queries. |
25 | | - o SImon's algorithm: Determine if a function (Oracle) is one-to-one or two-to-one |
26 | | - o Grover's algorithm: Search unstructured list of data fast |
27 | | - o Possibly: Shor's algorithm and how to Factorize integers efficiently |
28 | | -* Study the solution of quantum mechanical eigenvalue problems with systems from atomic/molecular physics and quantum chemistry |
29 | | -* Quantum machine learning projects, quantum boltzmann machines or related topics |
30 | | - |
31 | | - |
32 | | -#For project 2, in order to be time efficient, you can use software like Qiskit, Pennylane, qBraid and/or other |
33 | | - |
34 | 19 | !split |
35 | 20 | ===== Brief reminder on Fourier transforms ===== |
36 | 21 |
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37 | | -Last week we reviewed some basic properties of Fourier transforms. We restate some of these results here. |
| 22 | +Last week we reviewed some basic properties of Fourier transforms and derived the expressions for the quantum Fourier variant. |
| 23 | +We restate some of these results here. |
38 | 24 | "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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