6 citations · 7 across the 5 of their papers we have counts for
4 papers · 1 filter
Compactness criterion for families of quantum operations in the strong convergence topology and its applications
M. E. Shirokov
A revised version of the compactness criterion for families of quantum operations in the strong convergence topology (obtained previously) is presented, along with a more detailed…
Lower semicontinuity of the relative entropy disturbance and its corollaries
M. E. Shirokov
It is proved that the decrease of the quantum relative entropy under action of a quantum operation is a lower semicontinuous function of a pair of its arguments. This property impl…
New monotonicity property of the quantum relative entropy
M. E. Shirokov
It is proved that the local discontinuity jumps of the quantum relative entropy do not increase under action of quantum channels and operations.
Convergence conditions for the quantum relative entropy and other applications of the deneralized quantum Dini lemma
M. E. Shirokov
We describe a generalized version of the result called quantum Dini lemma that was used previously for analysis of local continuity of basic correlation and entanglement measures.…