The DFG-Priority Program 1145 Modern and universal first-principles methods for many-electron systems in chemistry and physics in cooperation with the GAMM Committee Efficient numerical methods for pdes and the Christian-Albrechts-University of Kiel organises the workshop
1st Scientific Computing Seminar
Numerical Analysis in Quantum Chemistry
Christian-Albrechts-University of Kiel, Germany
June 28th to 30th, 2004.
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Lecture on Monday, 28th of June, 2004
| 18.15 - 18.45 | A. K. Prykarpatsky (Krakow, Poland): Quantum Holonomic Computing, Grassmannian Manifolds and Dual Momentum Mappings | |
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A general approach to quantum holonomic computing based on geometric Lie - algebraic structures on Grassmann manifolds and related with them Lax type flows is proposed. Making use of the differential geometric techniques like momentum mapping reduction, central extension and connection theory on Stiefel bundles it is shown that the associated holonomy groups properly realizing quantum computations can be effectively found concerning diverse practical problems.
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