Abstract We introduce the concept of quasi-inverse quantum and classical channels, prove general properties these inverses determine them for a large class channels acting in an arbitrary finite dimension. Therefore we extend previous results Karimipour et al (2020 Phys. Rev. A 101 032109) to dimensional domain. demonstrate how application proposed scheme can increase on average fidelity betwee...

Abstract We present a new theoretical analysis of local superlinear convergence classical quasi-Newton methods from the convex Broyden class. As result, we obtain significant improvement in currently known estimates rates for these methods. In particular, show that corresponding rate Broyden–Fletcher–Goldfarb–Shanno method depends only on product dimensionality problem and logarithm its conditi...