Certifying the Dimension of Classical and Quantum Systems in a Prepare-and-Measure Scenario with Independent Devices
Certifying the Dimension of Classical and Quantum Systems in a Prepare-and-Measure Scenario with Independent Devices
We consider the problem of testing the dimension of uncharacterized classical and quantum systems in a prepare-and-measure setup. Here we assume the preparation and measurement devices to be independent, thereby making the problem nonconvex. We present a simple method for generating nonlinear dimension witnesses for systems of arbitrary dimension. The …