Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/145448
Title: QUANTUM CORRELATIONS FROM BLACK BOXES
Authors: GOH KOON TONG
ORCID iD:   orcid.org/0000-0003-2224-3559
Keywords: Quantum Information Theory, Quantum Nonlocality, Quantum Correlations, Device-independent Self-testing, Quantum Foundations
Issue Date: 30-Apr-2018
Citation: GOH KOON TONG (2018-04-30). QUANTUM CORRELATIONS FROM BLACK BOXES. ScholarBank@NUS Repository.
Abstract: Quantum theory predicts the existence of correlations that violate local realism. In this thesis, we look at this fact from the reverse angle ("device-independent approach"): given that such non-local correlations are observed, what can we know about the quantum resources being used? It had been known for several years that some correlations are fingerprints of specific quantum states: this kind of blind tomography has been called "self-testing". Here we prove that every pure bipartite entangled state possesses such fingerprints, highlighting that self-testing is a generic phenomenon. Self-testing is also used in the demonstration that a proposed connection between non-locality and uncertainty relations is an artefact of cherry-picking the expression of Bell inequality equivalent under no-signalling. Finally, we report the first comprehensive geometric study of the set of quantum correlations, bringing to the fore an unexpected complexity of features.
URI: http://scholarbank.nus.edu.sg/handle/10635/145448
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