Prykarpatsky Anatoliy
Dept. of Applied Mathematics at the Academy of Mining and Metallurgy, Cracow

Coauthors:D. L. Blackmore, Ufuk Taneri


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.