Quantum communication via noisy channels [Elektronische Ressource] / Zahra Shadman

Quantum communication vianoisy channelsInaugural-DissertationzurErlangung des Doktorgrades derMathematisch-Naturwissenschaftlichen Fakult¨ atder Heinrich-Heine-Universit¨ at Dusseldorf¨vorgelegt vonZahra Shadmanaus Quchan/IranJanuary 2011Aus dem Institut fur¨ Theoretische Physik, Lehrstuhl IIIder Heinrich-Heine Universit¨ at Dusseldorf¨Gedruckt mit der Genehmigung derMathematisch-Naturwissenschaftlichen Fakult¨ at derHeinrich-Heine-Universit¨ at Dusseldorf¨Referent: Prof. Dr. D. BrußKoreferent: Prof. Dr. R. EggerTag der mundlic¨ hen Prufung:¨ 25.01.2011To my familyAbstractQuantum communication is at the heart of the quantum information theory. Westudy two types of quantum communication protocols over noisy transmissionchannels, i.e. super dense coding and cryptography protocols. In the first partof this thesis, for various scenarios, it is discussed how the super dense codingcapacity is influenced by noisy quantum channels. The case of memoryless chan-nels as well as those channels with memory which are modelled by uncorrelatedand correlated noise, respectively, are considered. Explicitly Pauli channels overarbitrary dimensions are treated and the super dense coding capacity for someresource states is derived. For the qubit depolarizing channel, when noise is un-correlated, the super dense coding capacity with respect to the input state is alsooptimized.