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Modélisation graphique et simulation en traitement d'information quantique

Abstract : Graph States formalism consist in using graphs to model quantum states. This formalism allows us to use notion and tools of graph theory (e.g. flow, domination, probabilistic methods) in quantum information processing. Last years, this combinatorial modelisation had lead to many decisiv breakthroughs, in particular (i) in the comprehension of the quantum entranglement properties (ii) in very promising in term of physical implementation quantum calculus model, and (iii) in the analysis and construction of quantum cryptography protocols. The goal of this thesis is to study the graphic properties emerging of those quantum information processing problematics, especially for quantum simulation. In particular, the properties of causality and locality in graph states, by extanding for exemple the existing notion of causality flows to a notion integring the locality constraints, would allow new perspectives for the quantum system simulation using graphs states. Formal connections with noisy quantum cellular automata would emerge from this study.
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Submitted on : Friday, September 14, 2018 - 5:47:49 PM
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David Cattaneo. Modélisation graphique et simulation en traitement d'information quantique. Modélisation et simulation. Université Grenoble Alpes, 2017. Français. ⟨NNT : 2017GREAM076⟩. ⟨tel-01874807⟩



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