  This is a sequel to the papers (quant-ph/9910063) and (quant-ph/0004102). The
aim of this paper is to give mathematical foundations to Holonomic Quantum
Computation (Computer) proposed by Zanardi and Rasetti (quant-ph/9904011) and
Pachos and Chountasis (quant-ph/9912093). In 2-qubit case we give an explicit
form to non-abelian Berry connection of quantum computational bundle which is
associated with Holonomic Quantum Computation, on some parameter space. We also
suggest a possibility that not only usual holonomy but also higher-dimensional
holonomies must be used to prove a universality of our Holonomic Quantum
Computation.
