Phase Estimation and Factoring: Understanding Quantum Information and Computation - Lesson 7

Phase Estimation and Factoring: Understanding Quantum Information and Computation - Lesson 7

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— Eigenvectors and eigenvalues

14 of 19

14 of 19

— Eigenvectors and eigenvalues

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Classroom Contents

Phase Estimation and Factoring: Understanding Quantum Information and Computation - Lesson 7

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  1. 1 — Introduction
  2. 2 — Overview
  3. 3 — Spectral theorem
  4. 4 — Phase estimation problem
  5. 5 — Warm-up: using phase kickback
  6. 6 — Iterating the unitary operation
  7. 7 — Two control qubits
  8. 8 — Two-qubit phase estimation
  9. 9 — Quantum Fourier transform
  10. 10 — Circuits for the QFT
  11. 11 — Phase estimation procedure
  12. 12 — The order-finding problem
  13. 13 — Order-finding by phase-estimation
  14. 14 — Eigenvectors and eigenvalues
  15. 15 — A convenient eigenvector
  16. 16 — A random eigenvector
  17. 17 — Implementation
  18. 18 — Factoring through order-finding
  19. 19 — Conclusion

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