The GAQCI mainly aims at the problem of evolution of systems represented in terms of even
subalgebra of the 3D space Clifford algebra, along with
geometrical phase, equations for states (operators, wave functions in conventional terminology),
Berry connections, curvatures, associated Hopf fibration, relations with Hilbert space formalism, etc. The results are critical
for understanding the nature of
quantum mechanical entanglement and quantum computing.