Book contents
- Frontmatter
- Dedication
- Contents
- Acknowledgments
- Introduction
- 1 The Mathematical Minimum
- 2 Quantum Computing Fundamentals
- 3 Simulation Infrastructure
- 4 Quantum Tools and Techniques
- 5 Beyond Classical
- 6 Algorithms Exploiting Entanglement
- 7 State Similarity Tests
- 8 Black-Box Algorithms
- 9 State Preparation
- 10 Algorithms Using Amplitude Amplification
- 11 Algorithms Using Quantum Fourier Transform
- 12 Quantum Walk Algorithms
- 13 Optimization Algorithms
- 14 Quantum Machine Learning
- 15 Quantum Error Correction
- 16 Quantum Languages, Compilers, and Tools
- Appendix Sparse Implementation
- References
- Index
11 - Algorithms Using Quantum Fourier Transform
Published online by Cambridge University Press: 24 December 2025
Book contents
- Frontmatter
- Dedication
- Contents
- Acknowledgments
- Introduction
- 1 The Mathematical Minimum
- 2 Quantum Computing Fundamentals
- 3 Simulation Infrastructure
- 4 Quantum Tools and Techniques
- 5 Beyond Classical
- 6 Algorithms Exploiting Entanglement
- 7 State Similarity Tests
- 8 Black-Box Algorithms
- 9 State Preparation
- 10 Algorithms Using Amplitude Amplification
- 11 Algorithms Using Quantum Fourier Transform
- 12 Quantum Walk Algorithms
- 13 Optimization Algorithms
- 14 Quantum Machine Learning
- 15 Quantum Error Correction
- 16 Quantum Languages, Compilers, and Tools
- Appendix Sparse Implementation
- References
- Index
Summary
The quantum Fourier transform is another fundamental quantum algorithm. The section begins with a simple phase-kick circuit and expands to quantum phase estimation before detailing the quantum Fourier transform itself. A short section on arithmetic in the quantum domain introduces techniques that are used in a final detailed section on Shor’s famous algorithm for number factorization.
Information
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- Chapter
- Information
- Quantum Computing for Programmers , pp. 244 - 292Publisher: Cambridge University PressPrint publication year: 2025
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