Simpler proof of the theorem by Pusey, Barrett, and Rudolph on the reality of the quantum state

TL;DR

This paper simplifies the proof of the Pusey-Barrett-Rudolph theorem by demonstrating that a two-qubit entanglement basis suffices to establish that quantum states correspond to physical realities.

Contribution

It provides a more straightforward proof of the PBR theorem using only a two-qubit entanglement basis, reducing complexity.

Findings

Two-qubit entanglement basis is sufficient for the proof.

Simplifies the original proof of the PBR theorem.

Supports the reality of the quantum state.

Abstract

The theorem of Pusey, Barrett, and Rudolph proves that different quantum states describe different physical realities. Their proof is based on the construction of entanglement measurement bases of two, and more than two qbits. In this note, I show that a two-qubit entanglement base is sufficient for a general proof.