Simultaneous All-versus-Nothing Refutation of Local Realism and Noncontextuality by a Single System

TL;DR

This paper presents a unified all-versus-nothing proof demonstrating the fundamental conflict between quantum nonlocality and contextuality, using existing linear optics technology to enhance understanding of quantum foundations.

Contribution

It introduces a novel simultaneous proof of Bell's theorem and Kochen-Specker theorem, linking nonlocality and contextuality in a single system.

Findings

Unified proof of nonlocality and contextuality

Verifiable with current linear optics technology

Deepens understanding of quantum foundations

Abstract

The quantum realms of nonlocality and contextuality are delineated by Bell's theorem and the Kochen-Specker theorem, respectively, embodying phenomena that surpass the explanatory capacities of classical theories. These realms hold transformative potential for the fields of information and computing technology. In this study, we unveil a ``all-versus-nothing" proof that concurrently illustrates the veracity of these two seminal theorems, fostering a more nuanced comprehension of the intricate relationship intertwining quantum nonlocality and contextuality. Leveraging the capabilities of three singlet pairs and a Greenberger-Horne-Zeilinger state analyzer, our proof not only substantiates the conflict between quantum mechanics and hidden-variable theories from another perspective, but can also be readily verifiable utilizing the existing linear optics technology.