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.
Cite
@article{arxiv.1002.1613,
title = {Direct experimental verification of quantum commutation relations for Pauli operators},
author = {Xing-Can Yao and Jaromir Fiurasek and He Lu and Wei-Bo Gao and Yu-Ao Chen and Zeng-Bing Chen and Jian-Wei Pan},
journal= {arXiv preprint arXiv:1002.1613},
year = {2010}
}