Calcul quantique : algèbre et géométrie projective

作者: Anne-Céline Baboin

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摘要: Cette these a pour premiere vocation d’etre un etat de l’art sur le calcul quantique, sinon exhaustif, simple d’acces (chapitres 1, 2 et 3). La partie originale cet essai consiste en deux approches mathematiques du quantique concernant quelques systemes quantiques : la est nature algebrique fait intervenir des structures particulieres les corps anneaux Galois (chapitre 4), deuxieme appel geometrie dite projective 5). etude ete motivee par theoreme Kochen Specker travaux Peres Mermin qui ont decoule

参考文章(22)
Simon Perdrix, Modèles formels du calcul quantique : ressources, machines abstraites et calcul par mesure Institut National Polytechnique de Grenoble - INPG. ,(2006)
Stanley Payne, Joseph Thas, Finite Generalized Quadrangles EMS Series of Lectures in Mathematics. ,(2009) , 10.4171/066
Pierre Wolper, Introduction à la Calculabilit́e Dunod. ,(2001)
Michel Planat, Metod Saniga, Petr Pracna, A Classification of the Projective Lines over Small Rings II. Non-Commutative Case arXiv: Algebraic Geometry. ,(2006)
N. David Mermin, What's Wrong with these Elements of Reality? Physics Today. ,vol. 43, pp. 9- 11 ,(1990) , 10.1063/1.2810588
Michel Planat, Patrick Solé, Clifford groups of quantum gates, BN-pairs and smooth cubic surfaces Journal of Physics A. ,vol. 42, pp. 042003- ,(2009) , 10.1088/1751-8113/42/4/042003
André Stefanov, Hugo Zbinden, Nicolas Gisin, Antoine Suarez, Quantum correlations with spacelike separated beam splitters in motion: experimental test of multisimultaneity. Physical Review Letters. ,vol. 88, pp. 120404- ,(2002) , 10.1103/PHYSREVLETT.88.120404
Rocco A Servedio, Steven J Gortler, None, Equivalences and Separations Between Quantum and Classical Learnability SIAM Journal on Computing. ,vol. 33, pp. 1067- 1092 ,(2004) , 10.1137/S0097539704412910
N. David Mermin, Simple unified form for the major no-hidden-variables theorems. Physical Review Letters. ,vol. 65, pp. 3373- 3376 ,(1990) , 10.1103/PHYSREVLETT.65.3373