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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Cited by in corpus (10)

• Ruling out higher-order interference from purity principles
• Testing higher-order quantum interference with many-particle states
• Optimal quantum optical control of spin in diamond
• Which-way double slit experiments and Born rule violation
• Towards probing for hypercomplex quantum mechanics in a waveguide interferometer
• Higher-order interference between multiple quantum particles interacting nonlinearly
• An atomic test of higher-order interference
• Exotic looped trajectories via quantum marking
• Density Hypercubes, Higher Order Interference and Hyper-Decoherence: a Categorical Approach
• Testing the postulates of quantum mechanics with coherent states of light and homodyne detection