Κβαντικοί Υπολογισμοί

We start this project by describing the quantum model on which the quantum computation theory has been built. The main part of this project has to do with the Fourier transform on finite abelian groups and its use in P.Shor0s quantum algorithm for factorizing integers in polynomial time. As well, we describe L.Grover0s quantum algorithm for searching an element in an unstructured database of N elements (which is of order O(pN)) and we prove that Grover0s algorithm is optimal

Highly Enantioselective Hetero-Diels–Alder Reaction of 1,3-Bis-(silyloxy)-1,3-dienes with Aldehydes Catalyzed by Chiral Disulfonimide

Bulking up with F: The title reaction proceeds using 1 mol % of the new perfluoroisopropyl chiral disulfonimide catalyst 1 to deliver several 2,6-disubstituted and 2,5,6-trisubstituted dihydropyrones in good yields and with excellent enantiomeric ratios. The utility of this methodology is illustrated with the first enantioselective synthesis of a potent aromatase inhibitor

Enantioselective Organocatalytic Direct Michael Addition of Nitroalkanes to Nitroalkenes Promoted by a Unique Bifunctional DMAP-Thiourea

Enantioselective Organocatalytic Direct Michael Addition of Nitroalkanes to Nitroalkenes Promoted by a Unique Bifunctional DMAP-Thioure

Ene Hydroperoxidation of Isobutenylarenes within Dye-Exchanged Zeolite Na−Y: Control of Site Selectivity by Cation−Arene Interactions

The site selectivity in the singlet oxygen ene reaction of several deuterium-labeled isobutenylarenes depends on the position and the electronic nature of the aryl substitutents. For example, 1-(4-trifluoromethylphenyl)-2-methylpropene gives 82% twin selectivity whereas the isomeric 1-(2-trifluoromethylphenyl)-2-methylpropene gives 68% twix selectivity. If photooxygenation of these CF3-substituted compounds is carried out in solution, the opposite selectivity trends are found. On the basis of DFT calculations, these results are rationalized in terms of oxygen−cation and cation−arene interactions