Quantum information, computation and communication /
Jonathan A. Jones, Dieter Jaksch.
- New York : Cambridge University Press, 2012.
- viii, 200 p. 26 cm.
includes index
1 Quantum bits and quantum gates 1.1 The Bloch sphere Part I Quantum information 1.2 Density matrices and Pauli matrices 1.3 Quantum logic gates 1.4 Quantum networks 1.5 Initialization and measurement 1.6 Experimental methods Further reading Exercises 2 An atom in a laser field 2.1 Time-dependent systems 2.2 Sudden jumps 2.3 Oscillating fields 2.4 Time-dependent perturbation theory 2.5 Rabi flopping and Fermi's Golden Rule 2.6 Raman transitions 2.7 Rabi flopping and Ramsey fnnges 2.8 Measurement and initialization Further reading Exercises 3 Spins in magnetic fields 3.1 The nuclear spin Hamiltonian 3.2 The rotating frame 3.3 On- and ofF-resonance excitation 3.4 The vector model 3.5 Spin echoes 3.6 Measurement and initialization Further reading Exercises 4 Photon techniques 4.1 Spatial encoding 4.2 Polarization encoding 4.3 Single-photon sources and detectors 4.4 Conventions Further reading Exercises 5 Two qublts and beyond 5.1 Direct products 5.2 Matrix forms 5.3 Two-qubit gates 5.4 Networks and circuits 5.5 Entangled states Further reading Exercises 6 Measurement and entanglement 6.1 Measuring a single qubit 6.2 Ensembles and the no-cloning theorem 6.3 Fidelity 6.4 Local operations and classical communication Further reading Exercises 7 Principles of quantum computing 7.1 Reversible computing 7.2 Quantum parallelism 7.3 Getting the answer out 7.4 The DiVincenzo criteria Further reading Exercises 8 Elementary quantum algorithms 8.1 Deutsch's algorithm 8.2 Why it works 8.3 Circuit identities Part II Quantum computation 8.4 Deutsch's algorithm and interferometry 8.5 Grover's algorithm 8.6 Error correction 8.7 Decoherence-firee subspaces Further reading Exercises 9 More advanced quantum algorithms 9.1 The Deutsch-Jozsa algorithm 9.2 The Bemstein-Vazirani algorithm 9.3 Deutsch-Jozsa and period finding 9.4 Fourier transforms and quantum factoring 9.5 Graver's algorithm 9.6 Generalizing Grover's algorithm 9.7 Quantum simulation 9.8 Experimental implementations Further reading Exercises 10 Trapped atoms and Ions 10.1 Ion traps 10.2 Atom traps and optical lattices 10.3 Initialization 10.4 Decoherence 10.5 Universal logic 10.6 Two-qubit gates with ions 10.7 Two-qubit gates with atoms 10.8 Massive entanglement 10.9 Readout Further reading Exercises 11 Nuclear magnetic resonance 11.1 Qubits 11.2 Initialization 11.3 Decoherence 11.4 Universal logic 11.5 Readout Further reading Exercises 12 Large-scale quantum computers 12.1 Trapped ions 12.2 Optical lattices 12.3 NMR 12.4 Other approaches Further reading 13 Basics of Information theory 13.1 Classical information Part III Quantum communication 13.2 Mutual information 13.3 The communication channel 13.4 Connection to statistical physics Further reading Exercises 14 Quantum information 14.1 The density operator 14.2 Global and local measurements 14.3 Information content of a density operator 14.4 Joint entropy and mutual information 14.5 Quantum channels Further reading Exercises 15 Quantum communication 15.1 Parametric down-conversion 15.2 Quantum dense coding 15.3 Quantum teleportation 15.4 Entanglement swapping Further reading Exercises 16 Testing ERR 16.1 Bell inequalities 16.2 GHZ states Further reading Exercises 17 Quantum cryptography 17.1 One-time pads and the Vernam cipher 17.2 The BB84 protocol 17.3 The Ekert91 protocol 17.4 Experimental setups Further reading Exercises
9781107014466 (hardback)
Quantum Computers Information theory in physics SCIENCE / Quantum Theory