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

Abstract We report experimental verification of the commutation relation for Pauli spin operators using the single-photon polarization state. The experimental quantum operation corresponding to the commutator, [ σ z , σ x ] = k σ y , showed process fidelity of 0.94 compared to the ideal σ y operation and | k | is determined to be 2.12 ± 0.18 .

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