Print Email Facebook Twitter Inequalities and Quantum Entanglement Title Inequalities and Quantum Entanglement: From the Cauchy-Schwarz Inequality to Non-linear Entanglement Witnesses Author Loor, Stephan (TU Delft Electrical Engineering, Mathematics and Computer Science; TU Delft Applied Sciences) Contributor Vermeer, J. (mentor) Elkouss Coronas, D. (mentor) Vuik, Cornelis (graduation committee) Taminiau, T.H. (graduation committee) Degree granting institution Delft University of Technology Programme Applied Mathematics | Applied Physics Date 2019-07-31 Abstract In this thesis, two topics are studied: mathematical inequalities and non-linear quantum entanglement witnesses. First, various inequalities, like the Cauchy-Schwarz inequality (on finite dimensional vector spaces) and Jensen's inequality, along with their extensions and generalisations, are proved and discussed. The intimate relationship between these inequalities is studied. Because this thesis was restricted to finite dimensional vector spaces, the consequences of generalising the results to infinite dimensional vector spaces are finally determined. Secondly, the topic of entanglement detection is discussed - specifically, non-linear entanglement witnesses are considered. A bipartite and multipartite entanglement criterion based on the previously discussed inequalities are introduced and assessed extensively by considering their optimality, how they relate to other criteria as well as their limitations. Subject EntanglementInequalitiesQuantum EntanglementMathematical InequalitiesEntanglement DetectionQuantum MechanicsQuantum informationQuantumPhysicsAnalysisMathematical AnalysisMathematics To reference this document use: http://resolver.tudelft.nl/uuid:8514f527-3e70-44b7-9b7d-0a0fd58746cc Part of collection Student theses Document type bachelor thesis Rights © 2019 Stephan Loor Files PDF Stephan_Loor_Thesis_Inequ ... lement.pdf 678.07 KB Close viewer /islandora/object/uuid:8514f527-3e70-44b7-9b7d-0a0fd58746cc/datastream/OBJ/view