3 papers
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…
math.SG2003★ 1 cited
Bott Connection and Generalized Functions on Poisson Manifold
Zakaria Giunashvili
We extend the problem of finding Hamiltonian-invariant volume forms on a Poisson manifold to the problem of construction of Hamiltonian-invariant generalized functions. For this we…
math.SG2002★ 1 cited
Noncommutative Symplectic Geometry of the Endomorphism Algebra of a Vector Bundle
Zakaria Giunashvili
We study noncommutative generalizations of such notions of the classical symplectic geometry as degenerate Poisson structure, Poisson submanifold and quotient manifold, symplectic…