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Experimental Test of Born's Rule by Inspecting Third-Order Quantum Interference on a Single Spin in Solids

Abstract

As a fundamental postulate of quantum mechanics, Born's rule assigns probabilities to the measurement outcomes of quantum systems and excludes multi-order quantum interference. Here we report an experiment on a single spin in diamond to test Born's rule by inspecting the third-order quantum interference. The ratio of the third-order quantum interference to the second-order in our experiment is ceiled at the scale of 10⁻³, which provides a stringent constraint on the potential breakdown of Born's rule.

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