Entanglement Between Noncomplementary Parts of Many-Body Systems

Released on by Hannu Christian Wichterich
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  • Entanglement Between Noncomplementary Parts of Many-Body Systems Book Detail

  • Author : Hannu Christian Wichterich
  • Release Date : 2011-05-18
  • Publisher : Springer Science & Business Media
  • Genre : Science
  • Pages : 121
  • ISBN 13 : 3642193420
  • File Size : 67,67 MB
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Entanglement Between Noncomplementary Parts of Many-Body Systems by Hannu Christian Wichterich PDF Summary

Book Description: This thesis investigates the structure and behaviour of entanglement, the purely quantum mechanical part of correlations, in many-body systems, employing both numerical and analytical techniques at the interface of condensed matter theory and quantum information theory. Entanglement can be seen as a precious resource which, for example, enables the noiseless and instant transmission of quantum information, provided the communicating parties share a sufficient "amount" of it. Furthermore, measures of entanglement of a quantum mechanical state are perceived as useful probes of collective properties of many-body systems. For instance, certain measures are capable of detecting and classifying ground-state phases and, particularly, transition (or critical) points separating such phases. Chapters 2 and 3 focus on entanglement in many-body systems and its use as a potential resource for communication protocols. They address the questions of how a substantial amount of entanglement can be established between distant subsystems, and how efficiently this entanglement could be "harvested" by way of measurements. The subsequent chapters 4 and 5 are devoted to universality of entanglement between large collections of particles undergoing a quantum phase transition, where, despite the enormous complexity of these systems, collective properties including entanglement no longer depend crucially on the microscopic details.

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Entanglement in Spin Chains

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This book covers recent developments in the understanding, quantification, and exploitation of entanglement in spin chain models from both condensed matter and