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|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|
|Appears in Collections:||Ph.D Theses (Open)|
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