# Generalizations of 2-Dimensional Diagonal Quantum Channels with Constant Frobenius Norm

@article{Sergeev2019GeneralizationsO2, title={Generalizations of 2-Dimensional Diagonal Quantum Channels with Constant Frobenius Norm}, author={Ivan Sergeev}, journal={Reports on Mathematical Physics}, year={2019} }

We introduce the set of quantum channels with constant Frobenius norm, the set of diagonal channels and the notion of equivalence of one-parameter families of channels. First, we show that all diagonal 2-dimensional channels with constant Frobenius norm are equivalent. Next, we generalize four one-parameter families of 2-dimensional diagonal channels with constant Frobenius norm to an arbitrary dimension n . Finally, we prove that the generalizations are not equivalent in any dimension n ≥ 3.

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