Characterizing Entanglement and Quantum Correlations Constrained by Symmetry

Beschreibung

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.
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.
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

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Jordi Tura i Brugués

Themen in »Characterizing Entanglement and Quantum Correlations Constrained by Symmetry«

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

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