104 citations · 1.2k across the 57 of their papers we have counts for
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Tensor power of dynamical maps and P- vs. CP-divisibility
Fabio Benatti, Dariusz Chruściński, Sergey Filippov
The are several non-equivalent notions of Markovian quantum evolution. In this paper we show that the one based on the so-called CP-divisibility of the corresponding dynamical map…
A necessary condition for incompatibility of observables in general probabilistic theories
Sergey Filippov, Teiko Heinosaari, Leevi Leppäjärvi
We quantify the intrinsic noise content of an observable in a general probabilistic theory and derive a noise content inequality for incompatible observables. We apply the derived…
Quantum evolution in the stroboscopic limit of repeated measurements
I. A. Luchnikov, S. N. Filippov
We consider a quantum system dynamics caused by successive selective and non-selective measurements of the probe coupled to the system. For the finite measurement rate and…
Positive tensor products of qubit maps and n-tensor-stable positive qubit maps
Sergey N. Filippov, Kamil Yu. Magadov
We analyze positivity of a tensor product of two linear qubit maps, . Positivity of maps and is a necessary but not a sufficient condition for positivi…