Bell's theorem in time without inequalities

TL;DR

This paper introduces a temporal analog of the GHZ argument, providing a new inequality-free proof of Bell's theorem in the time domain, highlighting quantum nonlocality over time.

Contribution

It extends the GHZ proof to the temporal domain, offering a novel inequality-free demonstration of Bell's theorem in time.

Findings

Establishes Bell's theorem in time without inequalities

Demonstrates quantum correlations over time

Provides a new perspective on quantum nonlocality

Abstract

Bell's theorem revealed that a local hidden-variable model cannot completely reproduce the quantum mechanical predictions. Bell's inequality provides an upper bound under the locality and reality assumptions that can be violated by correlated measurement statistics of quantum mechanics. Greenberger, Horne, and Zeilinger (GHZ) gave a more compelling proof of Bell's theorem without inequalities by considering perfect correlations rather than statistical correlations. This work presents a temporal analog of the GHZ argument that establishes Bell's theorem in time without inequalities.