Introduction to Optical Quantum Information Processing
by Pieter Kok , Brendon W. LovettBuy New
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Summary
Author Biography
Brendon W. Lovett is a Royal Society University Research Fellow in the Department of Materials and a Fellow of St Anne's College at the University of Oxford. He is a member of the Institute of Physics. He has been a visiting Fellow at the University of Queensland, Australia, and is an Academic Visitor at the National University of Singapore.
Table of Contents
| Preface | p. xi |
| Quantum optics and quantum information | |
| The quantum theory of light | p. 3 |
| The classical electromagnetic field | p. 3 |
| Quantization of the electromagnetic field | p. 6 |
| Mode functions and polarization | p. 16 |
| Evolution of the field operators | p. 25 |
| Quantum states of the electromagnetic field | p. 37 |
| References and further reading | p. 46 |
| Quantum information processing | p. 48 |
| Quantum information | p. 48 |
| Quantum communication | p. 57 |
| Quantum computation with qubits | p. 62 |
| Quantum computation with continuous variables | p. 80 |
| References and further reading | p. 89 |
| Figures of merit | p. 90 |
| Density operators and superoperators | p. 90 |
| The fidelity | p. 100 |
| Entropy, information, and entanglement measures | p. 101 |
| Correlation functions and interference of light | p. 105 |
| Photon correlation measurements | p. 108 |
| References and further reading | p. 110 |
| Quantum information in photons and atoms | |
| Photon sources and detectors | p. 113 |
| A mathematical model of photodetectors | p. 113 |
| Physical implementations of photodetectors | p. 121 |
| Single-photon sources | p. 129 |
| Entangled photon sources | p. 139 |
| Quantum non-demolition photon detectors | p. 142 |
| References and further reading | p. 144 |
| Quantum communication with single photons | p. 145 |
| Photons as information carriers | p. 145 |
| Quantum teleportation and entanglement swapping | p. 162 |
| Decoherence-free subspaces for communication | p. 170 |
| Quantum cryptography | p. 172 |
| References and further reading | p. 177 |
| Quantum computation with single photons | p. 179 |
| Optical N-port interferometers and scalability | p. 179 |
| Post-selection and feed-forward gates | p. 181 |
| Building quantum computers with probabilistic gates | p. 192 |
| Photon counting and quantum memories | p. 202 |
| Threshold theorem for linear-optical quantum computing | p. 207 |
| References and further reading | p. 209 |
| Atomic quantum information carriers | p. 210 |
| Atomic systems as qubits | p. 210 |
| The Jaynes-Cummings Hamiltonian | p. 222 |
| The optical master equation and quantum jumps | p. 227 |
| Entangling operations via path erasure | p. 236 |
| Other entangling gates | p. 245 |
| References and further reading | p. 251 |
| Quantum information in many-body systems | |
| Quantum communication with continuous variables | p. 255 |
| Phase space in quantum optics | p. 255 |
| Continuous-variable entanglement | p. 267 |
| Teleportation and entanglement swapping | p. 272 |
| Entanglement distillation | p. 280 |
| Quantum cryptography | p. 281 |
| References and further reading | p. 293 |
| Quantum computation with continuous variables | p. 294 |
| Single-mode optical qunat gates | p. 294 |
| Two-mode Gaussian qunat operations | p. 299 |
| The Gottesman-Knill theorem for qunats | p. 303 |
| Nonlinear optical qunat gates | p. 307 |
| The one-way model for qunats | p. 309 |
| Quantum error correction for qunats | p. 318 |
| References and further reading | p. 326 |
| Atomic ensembles in quantum information processing | p. 327 |
| An ensemble of identical two-level atoms | p. 327 |
| Electromagnetically induced transparency | p. 337 |
| Quantum memories and quantum repeaters | p. 344 |
| The atomic ensemble as a single qubit | p. 352 |
| Photon-photon interactions via atomic ensembles | p. 355 |
| References and further reading | p. 360 |
| Solid-state quantum information carriers | p. 361 |
| Basic concepts of solid-state systems | p. 361 |
| Definition and optical manipulation of solid-state qubits | p. 375 |
| Interactions in solid-state qubit systems | p. 381 |
| Entangling two-qubit operations | p. 384 |
| Scalability of solid-state devices | p. 393 |
| References and further reading | p. 395 |
| Decoherence of solid-state qubits | p. 397 |
| Phonons | p. 397 |
| Electron-phonon coupling | p. 400 |
| The master equation for electrons and phonons | p. 403 |
| Overcoming decoherence | p. 406 |
| Strong coupling effects | p. 412 |
| References and further reading | p. 419 |
| Quantum metrology | p. 421 |
| Parameter estimation and Fisher information | p. 421 |
| The statistical distance | p. 425 |
| The dynamical evolution of states | p. 433 |
| Entanglement-assisted parameter estimation | p. 437 |
| Optical quantum metrology | p. 440 |
| References and further reading | p. 452 |
| Baker-Campbell-Haussdorff relations | p. 454 |
| The Knill-Laflamme-Milburn protocol | p. 457 |
| Cross-Kerr nonlinearities for single photons | p. 462 |
| References | p. 465 |
| Index | p. 477 |
| Table of Contents provided by Ingram. All Rights Reserved. |
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