Many-particle interference to test Born's rule
Marc-Oliver Pleinert, Joachim von Zanthier, Eric A. Lutz · Physical Review Research · 2020
Born's rule relates detection probabilities to the modulus square of the wave function.It is one of the central principles of quantum mechanics together with that of linear superposition.Single-particle interference is accordingly limited to pairs of quantum paths and higher-order interferences are prohibited.Deviations from Born's law have been quantified via the Sorkin parameter which is proportional to the third-order term.However, while the linearity of quantum theory has been experimentally tested to the level of 10 -20 eV, the Sorkin parameter has only been measured to an accuracy of 2 × 10 -3 in the quantum regime.We here investigate Born's law using many-particle interferences and demonstrate that all interference terms of order (2M + 1) and greater vanish for M particles.We further introduce a family of many-particle Sorkin parameters and show that they are exponentially more sensitive to deviations from Born's rule than their single-particle counterpart.