TY - JOUR

T1 - Three path interference using nuclear magnetic resonance

T2 - A test of the consistency of Born's rule

AU - Park, D. K.

AU - Moussa, O.

AU - Laflamme, R.

PY - 2012/11

Y1 - 2012/11

N2 - The Born rule is at the foundation of quantum mechanics and transforms the classical understanding of probabilities by predicting that interference occurs between pairs of independent paths of a single object. One consequence of the Born rule is that three-way (or three-path) quantum interference does not exist. In order to test the consistency of the Born rule, we examine detection probabilities in three-path interference using an ensemble of spin-1/2 quantum registers in liquid state nuclear magnetic resonance. As a measure of the consistency, we evaluate the ratio of three-way interference to two-way interference. Our experiment bounded the ratio to the order of 10-3 ± 10-3, and hence it is consistent with Born's rule.

AB - The Born rule is at the foundation of quantum mechanics and transforms the classical understanding of probabilities by predicting that interference occurs between pairs of independent paths of a single object. One consequence of the Born rule is that three-way (or three-path) quantum interference does not exist. In order to test the consistency of the Born rule, we examine detection probabilities in three-path interference using an ensemble of spin-1/2 quantum registers in liquid state nuclear magnetic resonance. As a measure of the consistency, we evaluate the ratio of three-way interference to two-way interference. Our experiment bounded the ratio to the order of 10-3 ± 10-3, and hence it is consistent with Born's rule.

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U2 - 10.1088/1367-2630/14/11/113025

DO - 10.1088/1367-2630/14/11/113025

M3 - Article

AN - SCOPUS:84870402183

VL - 14

JO - New Journal of Physics

JF - New Journal of Physics

SN - 1367-2630

M1 - 113025

ER -