Abstract:
We consider mappings depending on two real non-negative arguments and taking values in a metric
space of quantum channels with the completely bounded distance. We study the questions about a
factorization of values of such a mapping and an approximation of the identity channel by almost
diagonal values of a mapping.
Keywords:completely bounded distance, completely positive operator, completely positive process, Hilbert tensor product, two-parameter family of quantum channels, quantum channel, trace of operator.