104 citations · 1.2k across the 57 of their papers we have counts for
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Simulation complexity of open quantum dynamics: Connection with tensor networks
I. A. Luchnikov, S. V. Vintskevich, H. Ouerdane +1
The difficulty to simulate the dynamics of open quantum systems resides in their coupling to many-body reservoirs with exponentially large Hilbert space. Applying a tensor network…
Simulability of observables in general probabilistic theories
Sergey N. Filippov, Teiko Heinosaari, Leevi Leppäjärvi
The existence of incompatibility is one of the most fundamental features of quantum theory, and can be found at the core of many of the theory's distinguishing features, such as Be…
Time deformations of master equations
Sergey N. Filippov, Dariusz Chruściński
Convolutionless and convolution master equations are the two mostly used physical descriptions of open quantum systems dynamics. We subject these equations to time deformations: lo…
Quantum informational properties of the Landau-Streater channel
Sergey N. Filippov, Ksenia V. Kuzhamuratova
We study the Landau--Streater quantum channel , whose Kraus operators are proportional to the irreducible unitary…
Lower and upper bounds on nonunital qubit channel capacities
Sergey N. Filippov
Classical capacity of unital qubit channels is well known, whereas that of nonunital qubit channels is not. We find lower and upper bounds on classical capacity of nonunital qubit…
Dimension truncation for open quantum systems in terms of tensor networks
I. A. Luchnikov, S. V. Vintskevich, S. N. Filippov
We present novel and simple estimation of a minimal dimension required for an effective reservoir in open quantum systems. Using a tensor network formalism we introduce a new objec…
Quantum dynamics intervened by repeated nonselective measurements
Sergey N. Filippov
We derive the theory of open quantum system dynamics intervened by a series of nonselective measurements. We analyze the cases of time independent and time dependent Hamiltonian dy…