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4th Conference Geometry and Topology of Manifolds
April 28 - May 4, 2002
Technical University of Lodz; University Mining and Metallurgy, Cracow; Jagiellonian University, Cracow
Krynica, Poland

Organizers
Jan Kubarski (chairman), Lodz, Poland; Tomasz Rybicki, Cracow, Poland; Robert Wolak, Cracow, Poland

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Quantum Holonomic Computing via Lax Type Flows on Grassmannian Manifolds and Dual Momentum Mappings.
by
Anatoliy Prykarpatsky
Dept. of Applied Mathematics at the Academy of Mining and Metallurgy
Coauthors: D. L. Blackmore, Ufuk Taneri

A general approach to holonomic quantum computing via Lax -type flows on Grassmann manifolds, based on the momentum mapping reduction and connection techniques is developed. It is shown that the associated holonomy groups can be effectively used in quantum computations of diverse practical problems.

Date received: April 8, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cajc-07.