Duality quantum computing

Abstract

In this article, we make a review on the development of a newly proposed quantum computer, duality computer, or the duality quantum computer and the duality mode of quantum computers. The duality computer is based on the particle-wave duality principle of quantum mechanics. Compared to an ordinary quantum computer, the duality quantum computer is a quantum computer on the move and passing through a multi-slit. It offers more computing operations than is possible with an ordinary quantum computer. The most two distinct operations are: the quantum division operation and the quantum combiner operation. The division operation divides the wave function of a quantum computer into many attenuated, and identical parts. The combiner operation combines the wave functions in different parts into a single part. The duality mode is a way in which a quantum computer with some extra qubit resource simulates a duality computer. The main structure of duality quantum computer and duality mode, the duality mode, their mathematical description and algorithm designs are reviewed.