Quantum process reconstruction based on mutually unbiased basis

Abstract

We study a quantum process reconstruction based on the use of mutually unbiased projectors (MUB projectors) as input states for a $D$-dimensional quantum system, with $D$ being a power of a prime number. This approach connects the results of quantum-state tomography using mutually unbiased bases with the coefficients of a quantum process, expanded in terms of MUB projectors. We also study the performance of the reconstruction scheme against random errors when measuring probabilities at the MUB projectors.