title: Experimental realization of programmable quantum gate array for directly probing commutation relations of Pauli operators.
abstract: We experimentally demonstrate an advanced linear-optical programmable quantum processor that combines two elementary single-qubit programmable quantum gates. We show that this scheme enables direct experimental probing of quantum commutation relations for Pauli operators acting on polarization states of single photons. Depending on a state of two-qubit program register, we can probe either commutation or anticommutation relations. Very good agreement between theory and experiment is observed, indicating high-quality performance of the implemented quantum processor.
authors.affiliation: Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China.
authors.forename: Xing-Can
authors.initials: XC
authors.lastname: Yao
authors.forename: Jaromír
authors.initials: J
authors.lastname: Fiurásek
authors.forename: He
authors.initials: H
authors.lastname: Lu
authors.forename: Wei-Bo
authors.initials: WB
authors.lastname: Gao
authors.forename: Yu-Ao
authors.initials: YA
authors.lastname: Chen
authors.forename: Zeng-Bing
authors.initials: ZB
authors.lastname: Chen
authors.forename: Jian-Wei
authors.initials: JW
authors.lastname: Pan