The geometric algebra lift of qubits via basic solutions of Maxwell equation

TL;DR

This paper introduces a geometric algebra approach to quantum bits, lifting them to Maxwell equation solutions, clarifying their complex parameters, and illustrating potential nonlocality.

Contribution

It presents a novel geometric algebra framework that lifts qubits to Maxwell equation solutions, providing new insights into their structure and nonlocal properties.

Findings

G-qubits are exact lifts of conventional qubits

Clarifies the meaning of complex parameters in qubits

Demonstrates the possibility of instant nonlocality

Abstract

Conventional quantum mechanical qubits can be lifted to states as even three dimensional geometric algebra operators that act on observables. The operators may be implemented via the two types of Maxwell equation solution polarizations. Solution of Maxwell equation in geometric algebra formalism gives g-qubits which are exact lifts of conventional qubits. Therefore, it unambiguously reveals actual meaning of complex parameters of qubits of the commonly accepted Hilbert space quantum mechanics and, particularly, directly demonstrates the option of instant nonlocality of states.