2 papers
math.DS2023
Comparison theorem for infinite-dimensional linear impulsive systems
Vladyslav Bivziuk, Sergey Dashkovskiy, Vitalii Slynko
We consider a linear impulsive system in an infinite-dimensional Banach space. It is assumed that the moments of impulsive action satisfy the averaged dwell-time condition and the…
quant-ph2023
Influence of the Commutator Properties of Hamiltonians on the Robustness of Quantum Circuits
Vladyslav Bivziuk, Vitalii Slynko
We have proved new estimates for the coherent control errors of quantum circuits used in quantum computing. These estimates essentially take into account the commutator properties…