Dynamical Bell Nonlocality

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dc.contributor.advisorGour, Gilad
dc.contributor.authorSengupta, Kuntal
dc.contributor.committeememberCunningham, Clifton L. R.
dc.contributor.committeememberSanders, Barry C.
dc.date2020-11
dc.date.accessioned2020-09-14T22:44:08Z
dc.date.available2020-09-14T22:44:08Z
dc.date.issued2020-09-12
dc.description.abstractQuantum mechanics is a highly nonlocal theory of nature. Quantum systems exhibit correlations which cannot be described by any classical theory of locality. We develop the resource theory of dynamical Bell nonlocality, which includes bipartite states, classical channels, quantum channels and measurements. In the state scenario, all separable states are Bell local. However, there exist mixed bipartite entangled states which also admit Bell local behaviour. To address this anomaly, we introduce the notion of fully Bell locality and show that all entangled states are Bell nonlocal, in the sense that they can be used to simulate at least one nonlocal bipartite Positive Operator Valued Measure (POVM) channel. We take a step further and generalise this result to bipartite entangled quantum channels. We then generalize the CHSH inequality from bipartite classical channels to bipartite POVM channels and devise a technique to check if a given bipartite POVM channel is nonlocal or not. Finally we provide a systematic method to quantify Bell nonlocality of bipartite quantum channels by extending any monotone for Bell nonlocality of classical channels to quantum channels and also introduce the precise definition of relative entropy of Bell nonlocality. We leave some open problems in the way.en_US
dc.identifier.citationSengupta, K. (2020). Dynamical Bell Nonlocality (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca.en_US
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/38195
dc.identifier.urihttp://hdl.handle.net/1880/112530
dc.language.isoengen_US
dc.publisher.facultyScienceen_US
dc.publisher.institutionUniversity of Calgaryen
dc.rightsUniversity of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.en_US
dc.subjectquantumen_US
dc.subjectresource theoryen_US
dc.subjectdynamical bell nonlocalityen_US
dc.subjectuncertainty relationsen_US
dc.subjectquantum channelsen_US
dc.subjectfully bell localen_US
dc.subjectentanglementen_US
dc.subjectrelative entropyen_US
dc.subject.classificationEducation--Mathematicsen_US
dc.subject.classificationPhysicsen_US
dc.subject.classificationPhysics--Atomicen_US
dc.subject.classificationOpticsen_US
dc.titleDynamical Bell Nonlocalityen_US
dc.typemaster thesisen_US
thesis.degree.disciplineMathematics & Statisticsen_US
thesis.degree.grantorUniversity of Calgaryen_US
thesis.degree.nameMaster of Science (MSc)en_US
ucalgary.item.requestcopytrueen_US
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