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The Born rule is at the foundation of quantum mechanics and transforms ourclassical way of understanding probabilities by predicting that interferenceoccurs between pairs of independent paths of a single object. One consequenceof the Born rule is that three way (or three paths) quantum interference doesnot exist. In order to test the consistency of the Born rule, we examinedetection probabilities in three path intereference using an ensemble ofspin-1/2 quantum registers in liquid state nuclear magnetic resonance (LSNMR).As a measure of the consistency, we evaluate the ratio of three wayinterference to two way interference. Our experiment bounded the ratio to theorder of $10^{-3} \pm 10^{-3}$, and hence it is consistent with Born's rule.

Three path interference using nuclear magnetic resonance: a test of the consistency of Born's rule