Experimental realization of programmable quantum gate array for directly probing commutation relations of Pauli operators

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 state...

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Main Authors: Yao, Xing-Can (Author) , Fiurášek, Jaromír (Author) , Lu, He (Author) , Gao, Wei-Bo (Author) , Chen, Yu-Ao (Author) , Chen, Zeng-Bing (Author) , Pan, Jian-Wei (Author)
Format: Article (Journal)
Language:English
Published: 2010
In: Physical review letters
Year: 2010, Volume: 105, Issue: 12, Pages: 1-4
ISSN:1079-7114
DOI:10.1103/PhysRevLett.105.120402
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevLett.105.120402
Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevLett.105.120402
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Author Notes:Xing-Can Yao, Jaromír Fiurášek, He Lu, Wei-Bo Gao, Yu-Ao Chen, Zeng-Bing Chen, and Jian-Wei Pan

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520 |a 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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