Anatoliy PRYKARPATSKY
Department of Applied Mathematics,
University of Mining and Metallurgy,
30 Mickiewicz Al. Bl. A4,
30059 Krakow, POLAND;
and
Department of Nonlinear Mathematical Analysis,
Institute APMM of NAS of Ukraine,
Lviv,79601 UKRAINE
E-mail: prika@mat.agh.edu.pl, prikarpa@wms.mat.agh.edu, prykanat@cybergal.com

Ufuk TANERI
Department of Mathematics,
Eastern Mediterranean University,
Famagusta, via Mersin 10, TURKEY
E-mail: ufuk@mozart.emu.edu.tr

Denis BLACKMORE
Department of Mathematical Sciences
New Jersey Institute of Technology
Newark, New Jersey 07102-1982 USA
E-mail: deblac@m.njit.edu
 

Quantum holonomic computing via Lax type flows on Grassmannian manifolds and dual momentum mappings

Abstract:
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.