Springer Theses / Entanglement Between Non-Complementary Parts of Many-Body Systems
(Sprache: Englisch)
Located at the nexus of condensed matter theory and quantum information theory, this thesis examines entanglement, the purely quantum mechanical part of correlations, in many-body systems, and in doing so employs both numerical and analytical techniques.
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Located at the nexus of condensed matter theory and quantum information theory, this thesis examines entanglement, the purely quantum mechanical part of correlations, in many-body systems, and in doing so employs both numerical and analytical techniques.
Klappentext zu „Springer Theses / Entanglement Between Non-Complementary Parts of Many-Body Systems “
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.
Inhaltsverzeichnis zu „Springer Theses / Entanglement Between Non-Complementary Parts of Many-Body Systems “
Introduction.- Exploiting Quench Dynamics in Spin Chains for Distant Entanglement and Quantum Communication.- Extraction of Pure Entangled States from Many-Body Systems by Distant Local Projections.- Scaling of Negativity of Separating Blocks in Spin Chains and Critically.-Universality of the Negativity in the Lipkin-Mechkov-Glick Model.- Conclusions and Outlook.- A. Diagonalisation of the XX Model.- B. Factorisation of the Fermionic Correlation Functions.- C. Time Dependence of the Reduced Density Operator Following Quench.- D. Density Matrix Renormalisation Group Algorithm.- E. Proof of Williamson's Theorem.- F. Partial Transposition in Continuous Variable Systems.- G. Gaussian Wigner Representation of Bosonic Vacuum.- H. Ground State Covariance Matrix of a Quadtratic Hamiltonean.- I. Bipartitie Entanglement of Gaussian States.- J. Density Matrix Spectra of Bosonic Gaussian States.- K. Bosonisation of the LMG Hamiltonian.- Bibliography
Bibliographische Angaben
- Autor: Hannu Christian Wichterich
- 2011, 2011, XII, 116 Seiten, 21 Abbildungen, Masse: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3642193412
- ISBN-13: 9783642193415
- Erscheinungsdatum: 19.05.2011
Sprache:
Englisch
Rezension zu „Springer Theses / Entanglement Between Non-Complementary Parts of Many-Body Systems “
From the reviews:"The theses brings new and very interesting knowledge on the quantum information field. ... this thesis gives a new insight of entanglement between noncomplementary regious of many-body systems, with interesting discussions and well carried out mathematical models." (Nicolae Constantinescu, Zentralblatt MATH, Vol. 1222, 2011)
Pressezitat
From the reviews:"The theses brings new and very interesting knowledge on the quantum information field. ... this thesis gives a new insight of entanglement between noncomplementary regious of many-body systems, with interesting discussions and well carried out mathematical models." (Nicolae Constantinescu, Zentralblatt MATH, Vol. 1222, 2011)
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