Department of Mathematics,
Eastern Mediterranean University,
Famagusta, via Mersin 10, TURKEY
Department of Mathematical Sciences
New Jersey Institute of Technology
Newark, New Jersey 07102-1982 USA
Quantum holonomic computing via Lax type flows on Grassmannian manifolds and dual momentum mappings
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.