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Characterizing Entanglement and Quantum Correlations Constrained by Symmetry (Hardcover, 1st ed. 2017)
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Characterizing Entanglement and Quantum Correlations Constrained by Symmetry (Hardcover, 1st ed. 2017)
Series: Springer Theses
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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.
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