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quant-ph2023
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…
quant-ph2023
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…
quant-ph2022
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.