## Decoherence: and the Quantum-To-Classical TransitionOver the course of the past decade, decoherence has become a ubiquitous scienti?c term popular in all kinds of research, from fundamental theories of quantum physics to applications in nanoengineering. Decoherence has been hailed as the solution to long-standing foundational problems dating back to the beginnings of quantum mechanics. It has been cursed as the key obstacle to next-generation technologies, such as quantum computers (another se- ingly omnipresent ?eld of research). And while decoherence has been directly observed in various experiments, its scope and meaning have often been m- understood and misrepresented. Decoherence makes a fantastic subject of research, as it touches upon many di?erent facets of physics, from phi- sophically inclined questions of interpretation all the way to down-to-earth problems in experimental settings and engineering applications. This book will introduce the reader, in an accessible and self-contained manner, to these various fascinating aspects of decoherence. It will focus in particularontherelationofdecoherencetotheso-calledquantum-to-classical transition, i. e. , the question of how decoherence may explain the emergence of the classical appearance of the macroscopic world around us from the underlying quantum substrate. Thescopeofthisbookisrelativelybroadinordertofamiliarizethereader withthemanyfacetsofdecoherence,inboththetheoreticalandexperimental domains. Throughout the book, I have sought to maintain a healthy balance betweentheconceptualideasassociatedwiththedecoherenceprogramonthe one hand and the formal and mathematical details on the other hand. This book will establish a proper understanding of decoherence as a pure quantum phenomenon and will emphasize the importance of the correct interpretation of the consequences and achievements of decoherence. |

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### Contents

1 | |

The Basic Formalism and Interpretation of Decoherence | 13 |

MasterEquation Formulations of Decoherence | 153 |

5 | 171 |

Decoherence and Quantum Computing | 293 |

### Other editions - View all

Decoherence: And the Quantum-To-Classical Transition Maximilian A. Schlosshauer Limited preview - 2007 |

Decoherence: and the Quantum-To-Classical Transition Maximilian A. Schlosshauer No preview available - 2010 |

### Common terms and phrases

ˆHint ˆHS ˆρ ancilla apparatus approximation assumption atom Born–Markov master equation Bose–Einstein condensates C70 molecules cavity Chap classical coefficients coherence collapse components Cooper-pair box correlations corresponding coupling decoher decoherence decoherence rate density operator derivation described discussed in Sect double-slit experiment dynamics effects eigenstates encoded ensemble entanglement environment environment-induced evolution example experiment experimental formalism frequency Gaussian harmonic oscillator Hilbert space initial interaction Hamiltonian interference pattern interpretation macroscopic master equation measurement momentum Neumann observed outcomes phase photons Phys physical pointer position problem pure quantum Brownian motion quantum computer quantum entanglement quantum error correction quantum mechanics quantum system qubit system reduced density matrix represented result role scattering Schmidt decomposition Schrödinger self-Hamiltonian slits spatial spectral density spin spin-environment spin–boson model subsystems superconducting superposition superposition principle superselection temperature theory thermal tion typically unitary wave function wave packets which-path information Wigner Zurek