Quantum cube: A toy model of a qubit

TL;DR

This paper introduces a simple discrete model illustrating how measurement methods influence system description, resembling a constrained qubit within quantum mechanics, highlighting epistemic limitations.

Contribution

It presents a toy model demonstrating how limited measurement capabilities can produce a system description akin to a constrained qubit, bridging classical and quantum perspectives.

Findings

The model mimics a qubit's convex hull of eigenstates.

Measurement limitations lead to an epistemic indistinguishability from a constrained qubit.

The approach links classical discrete systems with quantum state representations.

Abstract

Account of a system may depend on available methods of gaining information. We discuss a simple discrete system whose description is affected by a specific model of measurement and transformations. It is shown that the limited means of investigating the system make the epistemic account of the model indistinguishable from a constrained version of a qubit corresponding to the convex hull of eigenstates of Pauli operators, Clifford transformations and Pauli observables.