GHZ paradoxes based on an even number of qubits

TL;DR

This paper constructs GHZ paradoxes for all even qubit systems, linking noncontextuality and locality, and discusses the nature of entangled states and multiqubit KS theorem proofs.

Contribution

It introduces a general method to derive GHZ paradoxes for any even number of qubits based on the Kochen-Specker theorem.

Findings

GHZ paradoxes exist for all even qubit numbers starting from four

Entangled states involved have specific properties discussed

Visual proofs of multiqubit KS theorem are provided

Abstract

GHZ paradoxes are presented for all even numbers of qubits from four up. They are obtained from proofs of the Kochen-Specker (KS) theorem by showing how the assumption of noncontextuality can be justified on the basis of locality. The nature of the entangled states involved in our paradoxes is discussed. Some multiqubit proofs of the KS theorem are also presented in the form of diagrams from which they are visually obvious. The implications of our results are discussed.