several generalisations in Section 2. Section 3 deals with quantum phase gates ... As a mathematical counterpart of the geometric phase we first take a .... ( 2.13) .... From the condition that Ψ(s) is a unit vector for all s we deduce that .... A qubit is a quantum system in which the two Boolean states 1 and 0 are ... Tags: computingquantumgeometricnoncyclic