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.