Operational tools for moment characterization, entanglement verification and quantum key distribution [Elektronische Ressource] / vorgelegt von Moroder Tobias
Operational tools for momentcharacterization, entanglementverification and quantum key distributionDer Naturwissenschaftlichen Fakult¨atder Friedrich-Alexander-Universita¨t Erlangen-Nu¨rnbergzurErlangung des Doktorgradesvorgelegt vonMoroder Tobiasaus ErlangenAls Dissertation genehmigt von der Naturwissen-schaftlichen Fakultat der Universitat Erlangen-Nurnberg¨ ¨ ¨Tag der mundlichen Prufung: 31.07.2009¨ ¨Vorsitzender der Promotionskommission: Prof. Dr. Eberhard Bansch¨Erstberichterstatter: Prof. Dr. Norbert Lutkenhaus¨Zweitberichterstatter: Prof. Dr. Hajo LeschkeDrittberichterstatter: Prof. Dr. Maciej LewensteiniSummaryIn this thesis we address several different topics within the field of quantuminformation theory. These results can be classified to either enhance the appli-cability of certain conceptual ideas to be more suited for an actual experimentalsituation or to ease the analysis for further investigation of central problems. Indetail, the present thesis contains the following achievements:We start our discussion with the question under which conditions a givenset of expectation values is compatible with the first and second moments ofthe spin operators of a generic spin j state. The aim lies on an operationaldescription that allows working with the moments directly rather than using adensity operator.