Direct experimental verification of quantum commutation relations for Pauli operators

TL;DR

This paper presents an experimental scheme to directly verify quantum commutation relations for Pauli operators using a programmable quantum processor, demonstrating high accuracy and reliability in testing fundamental quantum properties.

Contribution

The work introduces a novel experimental method for directly testing quantum commutation relations with a programmable quantum processor, advancing quantum verification techniques.

Findings

High agreement between experimental results and theoretical predictions

Successful implementation of programmable quantum gates for testing commutation relations

Reliable verification of Pauli operator properties in a quantum processor

Abstract

We propose and demonstrate scheme for direct experimental testing of quantum commutation relations for Pauli operators. The implemented device is an advanced quantum processor that involves two programmable quantum gates. Depending on a state of two-qubit program register, we can test either commutation or anti-commutation relations. Very good agreement between theory and experiment is observed, indicating high-quality performance of the implemented quantum processor and reliable verification of commutation relations for Pauli operators.