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quant-ph2004
Geometric Control Methods for Quantum Computations
Zakaria Giunashvili
The applications of geometric control theory methods on Lie groups and homogeneous spaces to the theory of quantum computations are investigated. These methods are shown to be very…
quant-ph2002
Hamiltonian Systems on Complex Grassmann Manifold. Holonomy and Schrodinger Equation
Zakaria Giunashvili
Differential geometric structures such as the principal bundle for the canonical vector bundle on a complex Grassmann manifold, the canonical connection form on this bundle, the ca…