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Broadcasting of Quantum correlations using Dynamic State Dependent ClonerAuthor: Manish Kumar Shukla Date: 2018-07-05 Report no: IIIT/TH/2018/32 Advisor:Indranil Chakrabarty AbstractIn this thesis, we extensively study the problem of broadcasting of entanglement. We first introduce the elements of quantum information theory and then define various kinds of quantum and classical correlations. We also talk about various measures to quantify correlations, which are important in the context of broadcasting correlations. Next, we re-conceptualize the idea of state dependent quantum cloning machine, and in that process, we introduce different types of state dependent cloners like static and dynamic state dependent cloners. We derive the conditions under which we can make these cloners independent of the input state. Our main motivation for defining various types of cloning machines is that if we have partial information about the state to be cloned beforehand, we can choose the best performing cloner. In the broadcasting part, as our resource initial state, we start with general two qubit state and consider specific examples like, non maximally entangled state (NME), Werner like state (WLS), and Bell diagonal state (BDS). We apply both state dependent and state independent cloners, both locally and non-locally, in each of these cases. Incidentally, we find several instances where state dependent cloners outperform state independent cloners in broadcasting. This work gives us a holistic view on the broadcasting of entanglement in various two qubit states, when we have an almost exhaustive set of cloning machines in our arsenal. Full thesis: pdf Centre for Computational Natural Sciences and Bioinformatics |
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