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Évaluation du potentiel des machines quantiques pour l’optimisation combinatoire
Mémoire de Master / Thèse d'exercice   Open Access

Évaluation du potentiel des machines quantiques pour l’optimisation combinatoire

Julien Rodriguez
Masters , Université de Montpellier
02/07/2020

Résumé

Quantum operational research Algorithmes Machines quantiques Informatique quantique Optimisation combinatoire Algorithme de Grover
Quantum machine provide an opportunity to revolutionizing many fields, especially in combinatorial algorithms. In this internship, we propose to assess the performance of existing (and published) algorithms and clarify the opportunities ofquantum algorithms. In a first step, we use a search algorithm on an unstructured database published by Lov Grover (1996) and two other algorithms inspired by the Grover algorithm dealing with the satisfiability problem on a logical formulas and search for elements in an array. The second part present quantum algorithms necessary to do combinatorial optimization, such as the sumation and minimization. Finally, we experimentally solve the problem of vertex cover and traveling salesman problem.

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