Quantum Computing with Variable Complex Plane. Light Beam Guide Implementation

TL;DR

This paper proposes a novel mathematical framework using a variable complex plane and geometric algebra to redefine core quantum concepts, facilitating quantum computing implementation via fiber optics.

Contribution

It introduces a new mathematical structure and terminology for quantum mechanics, enabling a feasible language for quantum computing in fiber optics.

Findings

Redefinition of quantum states, observables, and measurements.

Implementation of quantum information processing in fiber optics.

Use of geometric algebra and variable complex plane in quantum modeling.

Abstract

Following the B. Hiley belief that unresolved problems of conventional quantum mechanics could be the result of a wrong mathematical structure, an alternative basic structure is suggested. Critical part of the structure is modification of the sense of commonly used terms state, observable, measurement giving them a clear unambiguous definition. This concrete definition, along with using of variable complex plane, is quite natural in geometric algebra terms. It helps to establish a feasible language for the area of quantum computing. The suggested approach is used then in the fiber optics quantum information processing scenario.