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arXiv:1002.3219 · Physics Letters A

Experimental verification of the commutation relation for Pauli spin operators using single-photon quantum interference

Yong‐Su Kim, Hyang‐Tag Lim, Young-Sik Ra, Yoon-Ho Kim

Published Sep 1, 2010• 15 citations
arXivHTMLPDF
DOI
10.1016/j.physleta.2010.09.003

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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.
We present the experimental realization of a scheme, based on single-photon interference, for implementing superpositions of distinct quantum operations. Its application to a thermal light field (a well-categorized classical entity) illustrates quantum superposition from a new standpoint and provides a direct and quantitative verification of the bosonic commutation relation between creation and annihilation operators. By shifting the focus towards operator superpositions, this result opens interesting alternative perspectives for manipulating quantum states.