Testing Quantum Contextuality of Binary Symplectic Polar Spaces on a Noisy Intermediate Scale Quantum Computer

TL;DR

This paper demonstrates the feasibility of testing quantum contextuality using finite geometric structures on NISQ computers, showing strong violations of non-contextual hidden variable bounds.

Contribution

It introduces a method to test quantum contextuality on NISQ devices using finite geometric structures representing N-qubit Pauli groups.

Findings

Strong violation of non-contextual bounds observed

Finite geometric structures effectively encode quantum properties

Experimental validation on NISQ computers

Abstract

The development of Noisy Intermediate Scale Quantum Computers (NISQC) provides for the Quantum Information community new tools to perform quantum experiences from an individual laptop. It facilitates interdisciplinary research in the sense that theoretical descriptions of properties of quantum physics can be translated to experiments easily implementable on a NISCQ. In this note I test large state-independent inequalities for quantum contextuality on finite geometric structures encoding the commutation relations of the generalized N-qubit Pauli group. The bounds predicted by Non-Contextual Hidden Variables theories are strongly violated in all conducted experiences.