Qubits and chirotopes

TL;DR

This paper establishes a theoretical link between qubits and chirotopes, introducing a new concept called qubitope, and explores potential applications in physics such as string theory, black holes, and quantum information.

Contribution

It introduces the qubitope as a generalization of chirotopes derived from qubit concepts, opening new avenues for applying oriented matroid theory in physics.

Findings

Qubitope generalizes chirotopes based on qubit concepts

Potential applications in string theory, black holes, and quantum information

Establishes a theoretical link between quantum information and oriented matroid theory

Abstract

We show that qubit and chirotope concepts are closely related. In fact, we prove that the qubit concept leads to a generalization of the chirotope concept, which we call qubitope. Moreover, we argue that a possible qubitope theory may suggest interesting applications of oriented matroid theory in at least three physical contexts, in which qubits make their appearance, namely string theory, black holes and quantum information.