Quantum Computation: Towards the Construction of a ‘Between Quantum and Classical’ Computer

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.

Macroscopic models for quantum systems and computers

“…This shows how within the hidden measurement approach using the SPS formalism one can go beyond the reach of standard quantum mechanics. Such a two-level state system was called a Contextual Bit (ConBit) [23], but we will not go deeper into this subject, because it would lead us too far away from the main scope of this paper, namely simulating 2-qubit quantum computation on a macroscopic model. Also, it is still not clear to the authors what kind of algorithms could be implemented using these ConBits, so we leave it for future research.…”