Discrete and Quantum Fourier Transform - Beyond Shor's Algorithm - Part 1

Discrete and Quantum Fourier Transform - Beyond Shor's Algorithm - Part 1

IAS | PCMI Park City Mathematics Institute via YouTube Direct link

Intro

1 of 8

1 of 8

Intro

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Discrete and Quantum Fourier Transform - Beyond Shor's Algorithm - Part 1

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  1. 1 Intro
  2. 2 Motivation and Applications of Fourier Transform
  3. 3 Properties of the Discrete Fourier Transform
  4. 4 Efficient Quantum Fourier Transform for N = 23
  5. 5 Fourier transform on (finite) groups
  6. 6 Fourier transform on finite Abelian groups
  7. 7 The (Abelian) Hidden Subgroups Problem
  8. 8 "Decoding" the Abelian HSP The Hidden Subgroup Problem (HSP) What is the outcome of the measurement on the final state?

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