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
5 - Beyond Classical
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
This chapter serves as a bridge from the introductory material to the sections on quantum algorithms. We start by implementing a classical circuit using quantum gates and show that quantum computers are at least as capable as classical computers. Then we discuss the term “beyond classical,” which is now the preferred term to describe computation that can be run efficiently on a quantum computer but would be intractable to run on a classical computer. For this, we discuss in detail Google’s seminal quantum supremacy paper.
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- Information
- Quantum Computing for Programmers , pp. 123 - 136Publisher: Cambridge University PressPrint publication year: 2025
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