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Characterizing Entanglement and Quantum Correlations Constrained by Symmetry

  • Book
  • © 2017

Overview

Authors:
  1. Jordi Tura i Brugués

    1. ICFO-Institut de Ciències Fotòniques, The Barcelona Institute of Science and Technology, Castelldefels (Barcelona), Spain

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  • Nominated as an outstanding PhD thesis by AMOP section of the German Physical Society
  • Provides novel, experimentally friendly, methods to detect nonlocality in quantum many-body systems
  • Characterizes positive partial transpose (PPT) entangled symmetric states of n-qubits
  • Explores the nonequivalence between entanglement and nonlocality
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Theses (Springer Theses)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xxv
    Download chapter PDF

  2. Introduction

    • Jordi Tura i Brugués
    Pages 1-11

  3. Background

    • Jordi Tura i Brugués
    Pages 13-35

  4. PPT Entangled Symmetric States

    • Jordi Tura i Brugués
    Pages 37-72

  5. Nonlocality in Multipartite Quantum States

    • Jordi Tura i Brugués
    Pages 73-137

  6. Relating Entanglement and Nonlocality

    • Jordi Tura i Brugués
    Pages 139-155

  7. Atomic Monogamies of Correlations

    • Jordi Tura i Brugués
    Pages 157-182

  8. Conclusions and Outlook

    • Jordi Tura i Brugués
    Pages 183-188

  9. Back Matter

    Pages 189-237
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Keywords

About this book

This thesis focuses on the study and characterization of entanglement and nonlocal correlations constrained under symmetries. It includes original results as well as detailed methods and explanations for a number of different threads of research: positive partial transpose (PPT) entanglement in the symmetric states; a novel, experimentally friendly method to detect nonlocal correlations in many-body systems; the non-equivalence between entanglement and nonlocality; and elemental monogamies of correlations. Entanglement and nonlocal correlations constitute two fundamental resources for quantum information processing, as they allow novel tasks that are otherwise impossible in a classical scenario. However, their elusive characterization is still a central problem in quantum information theory. The main reason why such a fundamental issue remains a formidable challenge lies in the exponential growth in complexity of the Hilbert space as well as the space of multipartite correlations. Physical systems of interest, on the other hand, display symmetries that can be exploited to reduce this complexity, opening the possibility that some of these questions become tractable for such systems.

Authors and Affiliations

  • ICFO-Institut de Ciències Fotòniques, The Barcelona Institute of Science and Technology, Castelldefels (Barcelona), Spain

    Jordi Tura i Brugués

About the author

Dr. Jordi Tura i Brugués graduated simultaneously in Mathematics and Telecommunication Engineering at the Polytechnic University of Catalonia, under an intensive program offered by the Center for Interdisciplinary Studies. He obtained his PhD at ICFO - The Institute of Photonic Sciences, working in the Quantum Optics Theory group, under the supervision of Prof. Dr. Maciej Lewenstein and Dr. Remigiusz Augusiak. His research there focused on the characterization of entanglement and quantum correlations under symmetries. Currently, he is working as a postdoctoral researcher in the Theory Division of the Max Planck Institute of Quantum Optics in Garching, with Prof. Dr. Ignacio Cirac.

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