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Characterizing Entanglement and Quantum Correlations Constrained by Symmetry

  • Jordi Tura i Brugués

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xxv
  2. Jordi Tura i Brugués
    Pages 1-11
  3. Jordi Tura i Brugués
    Pages 13-35
  4. Jordi Tura i Brugués
    Pages 37-72
  5. Jordi Tura i Brugués
    Pages 73-137
  6. Jordi Tura i Brugués
    Pages 139-155
  7. Jordi Tura i Brugués
    Pages 157-182
  8. Jordi Tura i Brugués
    Pages 183-188
  9. Back Matter
    Pages 189-237

About this book

Introduction

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.

Keywords

Nonlocality in Many-Body Quantum Systems Entanglement Characterization Monogamies of Correlations Entanglement Witnesses Multipartite PPT Symmetry Constraints on Quantum Correlations Bell Correlations in Multipartite Systems PPT Symmetric Qubits Two-Body Correlators

Authors and affiliations

  • Jordi Tura i Brugués
    • 1
  1. 1.ICFO-Institut de Ciències Fotòniques, The Barcelona Institute of Science and TechnologyCastelldefels (Barcelona)Spain

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-49571-2
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-49570-5
  • Online ISBN 978-3-319-49571-2
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • Buy this book on publisher's site