# Quantum Computing with Variable Complex Plane. Light Beam Guide   Implementation

**Authors:** Alexander Soiguine

arXiv: 1703.00820 · 2017-03-03

## 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.

## Key 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.

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Source: https://tomesphere.com/paper/1703.00820