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Connectivity structures of quantum entanglement

In this paper, after some recalls about connectivity structures and about the formalisms of quantum mechanics, we associate some families of connectivity structures with any entangled quantum state, and with any "measurement device" on such states. This finally allows us to define a new classification tool for quantum entanglement: the connectivity order. --- Dans ce texte, après des rappels d'une part sur la notion de structure connective et d'autre part sur les formalismes de la mécanique quantique, nous associons certaines familles de structures connectives à tout état quantique intriquant un nombre fini quelconque de particules, ainsi qu'à tout "dispositif de mesure", portant sur de tels états. Cela nous permet finalement de définir un nouvel outil de classification de l'intrication quantique : l'ordre connectif.

preprint2014arXivOpen access

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