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Violation of an augmented set of Leggett-Garg inequalities and the implementation of a continuous in time velocity measurement

dc.contributor.authorMajidy, Shayan-Shawn
dc.date.accessioned2019-07-11T13:00:55Z
dc.date.available2019-07-11T13:00:55Z
dc.date.issued2019-07-11
dc.date.submitted2019-07-03
dc.description.abstractMacroscopic realism (MR) is the view that a system may possess definite properties at any time independent of past or future measurements, and may be tested experimentally using the Leggett-Garg inequalities (LGIs). In this work we advance the study of LGIs in two ways using experiments carried out on a nuclear magnetic resonance spectrometer. Firstly, we addresses the fact that the LGIs are only necessary conditions for MR but not sufficient ones. We implement a recently-proposed test of necessary and sufficient conditions for MR which consists of a combination of the original four three-time LGIs augmented with a set of twelve two-time LGIs. We explore different regimes in which the two- and three-time LGIs may each be satisfied or violated. Secondly, we implement a recent proposal for a measurement protocol which determines the temporal correlation functions in an approximately non-invasive manner. It employs a measurement of the velocity of a dichotomic variable Q, continuous in time, from which a possible sign change of Q may be determined in a single measurement of an ancilla coupled to the velocity. This protocol involves a significantly different set of assumptions to the traditional ideal negative measurement protocol and a comparison with the latter is carried out.en
dc.identifier.urihttp://hdl.handle.net/10012/14794
dc.language.isoenen
dc.pendingfalse
dc.publisherUniversity of Waterlooen
dc.subjectquantum foundationsen
dc.subjectquantum informationen
dc.subjectnuclear magnetic resonanceen
dc.subjectmacrorealismen
dc.titleViolation of an augmented set of Leggett-Garg inequalities and the implementation of a continuous in time velocity measurementen
dc.typeMaster Thesisen
uws-etd.degreeMaster of Scienceen
uws-etd.degree.departmentPhysics and Astronomyen
uws-etd.degree.disciplinePhysics (Quantum Information)en
uws-etd.degree.grantorUniversity of Waterlooen
uws.contributor.advisorLaflamme, Raymond
uws.contributor.affiliation1Faculty of Scienceen
uws.peerReviewStatusUnrevieweden
uws.published.cityWaterlooen
uws.published.countryCanadaen
uws.published.provinceOntarioen
uws.scholarLevelGraduateen
uws.typeOfResourceTexten

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