Principles of quantum functional testing

With the increasing commercial availability of quantum information processing devices the need for testing them efficiently for their specified functionality will arise. Complete quantum channel characterization is out of the question for anything more than the simplest quantum channels for one or two qubits. Quantum functional testing leads to a decision problem with outcomes corresponding to the rejection or acceptance of the claim of the producer that the device parameters are within certain specifications. In this context, we introduce and analyze three ingredients that can speed up this decision problem: the iteration of the channel, efficient decision criteria, and nongreedy adaptive experimental design.