5 papers · 1 filter
Continuity inequalities for sandwiched Rényi and Tsallis conditional entropies with application to the channel entropy continuity
Anna Vershynina
For the sandwiched Rényi entropy the conditional entropy can be defined two ways: . In the limiting case, ,…
Dynamical Coherence Measures
Anna Vershynina
We present three measures of the dynamical coherence of channels, which are the generalization of several previous results. The measures are based on the generalized distance funct…
Saturating the Data Processing Inequality for Renyi Relative Entropy
Sarah Chehade
It has been shown that the R{é}nyi relative entropy satisfies the Data Processing Inequality (DPI) for a certain range of 's and 's. Moreover, the range is completely c…
On quantum quasi-relative entropy
Anna Vershynina
We consider a quantum quasi-relative entropy for an operator and an operator convex function . We show how to obtain the error bounds for the monotonicity and joint…
Existence of the thermodynamic limit and asymptotic behavior of some irreversible quantum dynamical systems
Anna Vershynina
We discuss the properties of two open quantum systems with a general class of irreversible quantum dynamics. First we study Lieb-Robinson bounds in a quantum lattice systems. The t…