On quantum states with a finite-dimensional approximation property
From MaRDI portal
Publication:6363066
DOI10.1134/S1995080221100206arXiv2103.09626MaRDI QIDQ6363066
Publication date: 17 March 2021
Abstract: We consider a class (convex set) of quantum states containing all finite rank states and infinite rank states with the sufficient rate of decreasing of eigenvalues (in particular, all Gaussian states). Quantum states from this class are characterized by the property (called the FA-property) that allows to obtain several results concerning finite-dimensional approximation of basic entropic and information characteristics of quantum systems and channels. We obtain a simple sufficient condition of the FA-property. We show that this property implies finiteness of the von Neumann entropy, but leave unsolved the question concerning the converse implication. We obtain uniform approximation results for characteristics depending on a pair (channel, input state) and for characteristics depending on a pair (channel, input ensemble). We establish the uniform continuity of the above characteristics as functions of a channel w.r.t. the strong convergence provided that the FA-property holds either for the input state or for the average state of input ensemble.
This page was built for publication: On quantum states with a finite-dimensional approximation property
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6363066)
