Calibration of Syndrome Measurements in a Single Experiment

Methods of quantum error correction are starting to be beneficial on current quantum computing hardware. Typically this requires to perform measurements which yield information about the occurred errors on the system. However, these syndrome measurements themselves introduce noise to the system. A full characterization of the measurements is very costly. Here we present a calibration method which allows to take the additional noise into account. Under reasonable assumptions we require only a single additional experiment. We give examples of how to apply this method to noise estimation and error correction. Finally we discuss the results of experiments carried out on an IBM quantum computer.