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arXiv 2010-02-17 DOI 10.1016/j.physleta.2010.09.003 0 views

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

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

Original · EN

We report experimental verification of the commutation relation for Pauli spin operators using quantum interference of the single-photon polarization state. By superposing the quantum operations σz σₓ and σₓ σz on a single-photon polarization state, we have experimentally implemented the commutator, [σz, σₓ], and the anticommutator, {σz, σₓ}, and have demonstrated the relative phase factor of π between σz σₓ and σₓ σz operations. The experimental quantum operation corresponding to the commutator, [σz, σₓ]=kσy, showed process fidelity of 0.94 compared to the ideal σy operation and |k| is determined to be 2.12±0.18.

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