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Quantum Fourier Transform 1

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Jan 18, 2021
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An introduction to the Quantum Fourier transform Sources and Further Reading: Kalid Azad, An Interactive Guide to the Fourier Transform https://betterexplained.com/articles/an-interactive-guide-to-the-fourier-transform/ Simon Xu, Discrete Fourier Transform - Simple Step by Step https://www.youtube.com/watch?v=mkGsMWi_j4Q Umesh V. Vazirani, Quantum Mechanics & Quantum Computation Lecture 15: Spin, Bloch Sphere https://www.youtube.com/watch?v=vUVkS1XZVCc Ian Glendinning, The Bloch Sphere http://www.vcpc.univie.ac.at/~ian/hotlist/qc/talks/bloch-sphere.pdf Jonathan Hui, QC -- Quantum Fourier Transform https://jonathan-hui.medium.com/qc-quantum-fourier-transform-45436f90a43 Prof. Birgitta Whaley et al., C/CS/Phys C191 Fall 2014 Lecture 20 Quantum Fourier Transform https://inst.eecs.berkeley.edu/~cs191/fa14/lectures/lecture20.pdf Dr. Steven Herbert, Quantum Computing (CST Part II) Lecture 9: Quantum Fourier Transform & Quantum Phase Estimation https://www.cl.cam.ac.uk/teaching/1920/QuantComp/Quantum_Computing_Lecture_9.pdf Nilanjana Datta, The quantum Fourier transfrom and periodicities, https://www.qi.damtp.cam.ac.uk/files/QIC-10.pdf Dan Stahlke, How to derive quantum Fourier transform from discrete Fourier transform (DFT)? https://physics.stackexchange.com/questions/110073/how-to-derive-quantum-fourier-transform-from-discrete-fourier-transform-dft Ronald de Wolf, The classical and quantum Fourier transform https://homepages.cwi.nl/~rdewolf/qfourierintro.pdf Patrick Dreher, Quantum Fourier Transforms https://arcb.csc.ncsu.edu/~mueller/qc/qc19/readings/Quantum%20Fourier%20Transforms%20191119.pdf IBM Qiskit Textbook, Quantum Fourier Transform https://qiskit.org/textbook/ch-algorithms/quantum-fourier-transform.html#5.-The-Circuit-that-Implements-the-QFT- Wikipedia, Quantum Fourier Transform https://en.wikipedia.org/wiki/Quantum_Fourier_transform Wikipedia, Vandermonde Matrix https://en.wikipedia.org/wiki/Vandermonde_matrix Dave Bacon, CSE 599d - Quantum Computing, The Quantum Fourier Transform and Jordan's Algorithm https://courses.cs.washington.edu/courses/cse599d/06wi/lecturenotes9.pdf Todd A. Brun, Quantum Fourier Transform https://viterbi-web.usc.edu/~tbrun/Course/lecture13.pdf

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