A C*-algebraic approach to quantum coding theory [Elektronische Ressource] / von Lisa Steiner

A C*-Algebraic Approach toQuantum Coding TheoryVom Fachbereich Mathematikder Technischen Universität Darmstadtzur Erlangung des Grades einesDoktors der Naturwissenschaften(Dr. rer. nat.)genehmigteDissertationvonDipl.-Math. Lisa Steineraus FilderstadtReferent: Prof. Dr. B. KümmererKorreferent: Dr. H. MaassenTag der Einreichung: 12. Juli 2007Tag der mündlichen Prüfung: 3. September 2007Darmstadt 2008D 17iiiAcknowledgmentsI would like to express my thanks to Burkhard Kümmerer for supervising my thesis and forgiving me the opportunity to work in his research group. His way of doing mathematics hasinfluenced me deeply.Let me also thank Claus Köstler and in particular Jürgen Hellmich for many stimulating con-versations as well as for their support at all stages of my work.Many thanks to all my collegues in our group, especially Nils Gebhardt, Florian Haag, HeikeMüller, Kay Schwieger, Nadiem Sissouno, Walter Reusswig and Julia Wiskandt. I alwaysenjoyed the friendly and supportive working atmosphere.My special thanks go to my parents and sisters, as well as to Fatma, without whom I mightnot have finished this work. Last but not least, I am very grateful to my husband Feriz, whobravely manages to live with a mathematician.vContentsAcknowledgments iiiIntroduction viiPlacement viiMain Results viiiSurvey of Chapters viiiZusammenfassung xiEinordnung der Arbeit xiHauptergebnisse xiiKapitelübersicht xiiiChapter 1. Classical Coding Theory 11.