 
Summary: Quantum Computation: Towards the Construction of a `Between
Quantum and Classical Computer'
Diederik Aerts and Bart D'Hooghe
Center Leo Apostel for Interdisciplinary Studies (CLEA)
Foundations of the Exact Science (FUND)
Department of Mathematics, Vrije Universiteit Brussel
1160 Brussels, Belgium
EMails: diraerts@vub.ac.be, bdhooghe@vub.ac.be
Abstract
Using the `between quantum and classical' models that have been constructed explicitly within the
hidden measurement approach of quantum mechanics we investigate the possibility to construct
a `between quantum and classical' computer. In this view, the pure quantum computer and the
classical Turing machine can be seen as two special cases of our general computer. We have shown in
earlier research that the intermediate `between quantum and classical' systems cannot be described
within standard quantum theory. We argue that the general categoral approach of state property
systems might provide a unified framework for the study of these `between quantum and classical'
models, and hence also for the study of classical and quantum computers as special cases.
1 Introduction
The theory of quantum computation (i.e., calculations performed on a computer which has a quantum
system as register [1, 2] ) has gained importance after the discovery of quantum algorithms which allow
