197 citations · 1.3k across the 70 of their papers we have counts for
7 papers · 1 filter
On quantum conditional entropies defined in terms of the -divergences
Alexey E. Rastegin
We consider a family of quantum conditional entropies based on the concept of quantum -divergences. First, we explicitly formulate conditions under which the notion of quantum c…
Uncertainty and certainty relations for the Pauli observables in terms of the Rényi entropies of order
Alexey E. Rastegin
We obtain uncertainty and certainty relations of state-independent form for the three Pauli observables with use of the Rényi entropies of order . It is shown that these…
Jarzynski equality for quantum stochastic maps
Alexey E. Rastegin, Karol Życzkowski
Jarzynski equality and related fluctuation theorems can be formulated for various setups. Such an equality was recently derived for nonunitary quantum evolutions described by unita…
Notes on general SIC-POVMs
Alexey E. Rastegin
An unavoidable task in quantum information processing is how to obtain data about the state of an individual system by suitable measurements. Informationally complete measurements…
Uncertainty relations for MUBs and SIC-POVMs in terms of generalized entropies
Alexey E. Rastegin
We formulate uncertainty relations for mutually unbiased bases and symmetric informationally complete measurements in terms of the Rényi and Tsallis entropies. For arbitrary number…
Unified-entropy trade-off relations for a single quantum channel
Alexey E. Rastegin
Many important properties of quantum channels are quantified by means of entropic functionals. Characteristics of such a kind are closely related to different representations of a…