Book contents
- Quantum Information
- Quantum Information
- Copyright page
- Dedication
- Contents
- Preface
- 1 Welcome to Quantum Computing
- 2 Quantum Mechanics for Quantum Computers
- 3 Two Qubits and Entanglement
- 4 Quantum Algorithms
- 5 Period Finding and Shor’s Algorithm
- 6 Realizations of Qubits: General Discussion
- 7 Realizations of Qubits: Examples
- 8 The Physics of Two-Qubit Gates
- 9 Device Characterization
- 10 Variations on the DiVincenzo Criteria
- 11 Decoherence and How to Defeat It
- 12 Quantum Technologies
- Afterword: Whither Quantum Computing?
- Solutions to Select Exercises
- Book part
- Glossary
- Suggestions for Further Reading
- Index
2 - Quantum Mechanics for Quantum Computers
Published online by Cambridge University Press: 17 October 2025
Book contents
- Quantum Information
- Quantum Information
- Copyright page
- Dedication
- Contents
- Preface
- 1 Welcome to Quantum Computing
- 2 Quantum Mechanics for Quantum Computers
- 3 Two Qubits and Entanglement
- 4 Quantum Algorithms
- 5 Period Finding and Shor’s Algorithm
- 6 Realizations of Qubits: General Discussion
- 7 Realizations of Qubits: Examples
- 8 The Physics of Two-Qubit Gates
- 9 Device Characterization
- 10 Variations on the DiVincenzo Criteria
- 11 Decoherence and How to Defeat It
- 12 Quantum Technologies
- Afterword: Whither Quantum Computing?
- Solutions to Select Exercises
- Book part
- Glossary
- Suggestions for Further Reading
- Index
Summary
Using linear algebra, the mathematical techniques needed for describing and manipulating qubits are laid out in detail, including quantum circuits. Moreover, the chapter also explains the state evolution of an isolated quantum system, as is predicted by the Schrödinger equation, as well as non-unitary irreversible operations such as measurement. More details of classical and quantum randomness and their mathematical representation is discussed, leading to the density matrix. representation of a quantum state.
Information
- Type
- Chapter
- Information
- Quantum InformationA First Course, pp. 18 - 50Publisher: Cambridge University PressPrint publication year: 2025
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