Characterizing entanglement and quantum correlations constrained by symmetry. (2017)

• Record Type: Book
• Further Information: Note: Jordi Tura i Brugués.
• Authors: Brugués, Jordi Tura i
• Contents: Supervisors' Foreword; Abstract; Publications Related to this Thesis; Acknowledgements; Contents; Acronyms; Notations; 1 Introduction; 1.1 Motivation; 1.1.1 Entanglement in the Symmetric States; 1.1.2 Detecting Nonlocality in Many-Body Systems; 1.1.3 The Relation Between Entanglement and Nonlocality; 1.1.4 Atomic Monogamies of Correlations; 1.2 Main Results; 1.2.1 Characterization of PPT Entangled Symmetric States; 1.2.2 Detecting Nonlocality with Two-Body Correlators; 1.2.3 Entanglement and Nonlocality Are Inequivalent for Any Number of Particles. 1.2.4 Elemental and Tight Monogamy Relations in No-Signalling Theories1.3 Outline of the Thesis; References; 2 Background; 2.1 Entanglement; 2.1.1 Characterization of Entanglement; 2.1.2 The Separability Problem; 2.2 Nonlocality; 2.2.1 The Device-Independent Formalism; 2.2.2 A Geometric Approach to Correlations; 2.2.3 Multipartite Nonlocality; 2.2.4 Local Models; 2.3 Systems of Indistinguishable Particles; 2.3.1 The Block Decomposition of a Permutationally Invariant Operator. Schur -- Weyl Duality; 2.3.2 Symmetric States; References; 3 PPT Entangled Symmetric States; 3.1 Characterization. 3.1.1 Separability Criteria3.1.2 Symmetric Edge States; 3.1.3 Schmidt Number; 3.2 The Geometry of the Set of PPTESS; 3.2.1 Extremal PPT States; 3.2.2 Algorithm to Produce Extremal PPT States; 3.3 Particular Considerations; 3.3.1 Special Constructions; References; 4 Nonlocality in Multipartite Quantum States; 4.1 The Structure of the Local Polytope; 4.1.1 Going to a Lower Order Correlations Local Polytope; 4.1.2 The Symmetrized Polytope; 4.1.3 The Permutationally Invariant K-Body Correlations Polytope; 4.1.4 Characterization of the Vertices of the Permutationally Invariant Polytope. 4.2 Classes of Bell Inequalities4.3 Quantum Violation; 4.3.1 Block-Diagonalization of the Bell Operator; 4.3.2 Analytical Class of States; 4.3.3 Accuracy of Analytical Results; 4.3.4 The Two-Body Reduced Density Matrix; 4.3.5 Robustness; 4.4 Inequalities for the Dicke States; 4.4.1 Quantum Violation of the Dicke States; 4.5 Generalization; 4.5.1 Expectation Values; 4.6 Translationally Invariant Bell Inequalities; 4.6.1 The Translationally Invariant Polytope; 4.6.2 Equivalent Bell Inequalities; 4.6.3 Numerical Results; 4.6.4 Quantum Violation with Translationally Invariant Qudit States. 4.7 Experimental Considerations4.7.1 Experimental Realizations; References; 5 Relating Entanglement and Nonlocality; 5.1 Local Models; 5.2 Bilocal Models in the Multipartite Scenario; 5.2.1 The Extension; 5.2.2 Certifying Genuinely Multipartite Entanglement; 5.3 K-Local Models in the Multipartite Scenario; 5.4 Applications; 5.4.1 Isotropic States; 5.4.2 Werner States; 5.5 Conclusions and Outlook; 5.5.1 Other Nonlocality Frameworks; References; 6 Atomic Monogamies of Correlations; 6.1 Monogamy Relations; 6.1.1 Monogamy Relations for No-Signalling Theories.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2017
• Extent: 1 online resource
• Subjects: 530.12; 530; Physics; Quantum entanglement; Symmetry (Physics); SCIENCE -- Energy; SCIENCE -- Mechanics -- General; SCIENCE -- Physics -- General; Quantum entanglement; Symmetry (Physics); Science -- Mathematical Physics; Science -- Quantum Theory; Computers -- Information Technology; Mathematical physics; Atomic & molecular physics; Quantum physics (quantum mechanics & quantum field theory); Quantum theory; Electronic books
• Languages: English
• ISBNs: 9783319495712; 3319495712
• Related ISBNs: 9783319495705; 3319495704
• Notes: Note: Includes bibliographical references at the end of each chapters.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.