A short introduction to quantum information and quantum computation
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| Format: | Book |
| Language: | English French |
| Published: |
Cambridge, UK ; New York :
Cambridge University Press,
©2006
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Table of Contents:
- Foreword
- Preface
- Introduction
- What is a qubit?
- The polarization of light
- Photon polarization
- Mathematical formulation
- Principles of quantum mechanics
- Quantum cryptography
- Exercises
- Further reading
- Manipulating qubits
- The Bloch sphere, spin 1/2
- Dynamical evolution
- Manipulating qubits : Rabi oscillations
- Principles of NMR and MRI
- Exercises
- Further reading
- Quantum correlations
- Two-qubit states
- The state operator (or density operator)
- The quantum no-cloning theorem
- Decoherence
- The Bell inequalities
- Exercises
- Further reading.
- Introduction to quantum computing
- General remarks
- Reversible calculation
- Quantum logic gates
- The Deutsch algorithm
- Generalization to n + m qubits
- The Grover search algorithm
- The quantum Fourier transform
- The period of a function
- Classical algorithms and quantum algorithms
- Exercises
- Further reading
- Physical realizations
- NMR as a quantum computer
- Trapped ions
- Superconducting qubits
- Quantum dots
- Exercises
- Further reading
- Quantum information
- Teleportation
- Shannon entropy
- von Neumann entropy
- Quantum error correction
- Exercises
- Further reading
- References
- Index.