Based on the resource theory for quantifying coherence of quantum channels, we introduce a new quantifier channels via maximum relative entropy. We prove that entropy is directly related to maximally coherent under particular class superoperations, which results in an operational interpretation channels. also conception sub-superchannels and sub-superchannel discrimination. For any show advanta...

We reformulate entanglement wedge reconstruction in the language of operator-algebra quantum error correction with infinite-dimensional physical and code Hilbert spaces. Von Neumann algebras are used to characterize observables a boundary subregion its wedge. Assuming that von associated an complement may both be reconstructed their corresponding subregions, we prove relative entropies measured...

The mixing property is characterized by the metric entropy that is introduced by Kolmogorov for dynamical systems. The Kolmogorov entropy is infinite for a stochastic system. In this work a relative metric entropy is considered. The relative metric entropy allows to estimate the level of mixing in noisy dynamical systems. An algorithm for calculating the relative metric entropy is described and...