Entanglement and Decoherence

Entanglement and (de-)coherence are perhaps the central issues in current quantum information theory. This book covers the theoretical foundations in these fields, from mathematical aspects underlying quantum topology to mesoscopic transport theory.

Entanglement and (de-)coherence arguably define the central issues of concern in present day quantum information theory. Entanglement being a consequence of the quantum mechanical superposition principle for composite systems, a better understanding of the environment-induced destruction of coherent superposition states is required to devise novel strategies for harvesting quantum interference phenomena.

The present book collects a series of advanced lectures on the theoretical foundations of this active research field, from mathematical aspects underlying quantum topology to mesoscopic transport theory.

All lectures start out from an elementary level and proceed along a steep learning curve. This makes the material particularly suitable for student seminars on the more fundamental theoretical aspects of quantum information, and equally useful as supplementary reading for advanced lectures on this topic.

Includes supplementary material: sn.pub/extras

Inhalt
Geometry of State Spaces.- Basic Concepts of Entangled States.- Topology and Quantum Computing.- Entanglement in Phase Space.- to Decoherence Theory.- Diffusive Spin Transport.