Experimental Realization of Programmable Quantum Gate Array for Directly Probing Commutation Relations of Pauli Operators

Xing-Can Yao, Jaromı́r Fiurášek, He Lu, Wei-Bo Gao, Yu-Ao Chen, Zeng‐Bing Chen, Jian-Wei Pan · Physical Review Letters · 2010

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.

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