Variant simulation system using quaternion structures

Abstract

Quantum measures play a key role in quantum interactions. In this paper, a variant simulation system – a variant double path model – is proposed that uses multiple variable logic functions and variant principle schemes applied to input/output relationships as a variant quaternion. Under this mechanism, a two-state system of quantum interactions can be simulated by the variant double path model. Visual distributions can be expressed by their probability, synchronous/asynchronous, and symmetry/anti-symmetry statistical properties. The simulation system can output eight histograms with different symmetric properties. Sample results are illustrated by two groups of 16 histograms for their intrinsic distributions. Critical evidence from Afshar's experiments is discussed. This particle model is fully capable of simulating double path experiments in systematic methodologies.

Keywords:

• variant double path model
• quantum measures
• statistical distributions
• synchronous/asynchronous operations
• symmetry/anti-symmetry properties

Acknowledgements

Our thanks go to Colin W. Campbell for help in producing the English version of this paper, Jie Wan for generating the simulation data, and Qingping Li for making statistical histograms. Financial support from The School of Software Engineering, Yunnan University for the Information Security project is gratefully acknowledged.