Experimental Test of Information-Theoretic Measurement Uncertainty Relation for general Qubit Observables Experimental: Details of Data Treatment

For each measurement of a pair of observables  and   the count rates and are obtained, where (corresponding to the outcomes of ), giving a total of 8 counts, which is schematically illustrated below for the measurement of .

To calculate the noises and from these counts, the joint probability distributions and are expreesed by the obtained count rates as and . Hence the conditional probabilities and read and , from which the noise can be be calculated directly as indicated in the illustration above.