5 citations · 7 across the 7 of their papers we have counts for
7 papers
Temporal entanglement transition in chaotic quantum many-body dynamics
Ilya Vilkoviskiy, Michael Sonner, Qi Camm Huang +3
Temporal entanglement (TE) of an influence matrix (IM) has been proposed as a measure of complexity of simulating dynamics of local observables in a many-body system. Foligno et al…
Temporal Complexity Hierarchies in Solvable Quantum Many-Body Dynamics
He-Ran Wang, Ilya Vilkoviskiy, Dmitry A. Abanin
The influence matrix (IM) provides a powerful framework for characterizing nonequilibrium quantum many-body dynamics by encoding multitime correlations into tensor-network states.…
Properties of the temporal transfer matrix in integrable Floquet circuits
Ilya Vilkoviskiy, Kirill Matirko
One possible approach to studying non-equilibrium dynamics is the so-called influence matrix (IM) formalism. The influence matrix can be viewed as a quantum state that encodes comp…
Efficient Pseudomode Representation and Complexity of Quantum Impurity Models
Julian Thoenniss, Ilya Vilkoviskiy, Dmitry A. Abanin
Out-of-equilibrium fermionic quantum impurity models (QIM), describing a small interacting system coupled to a continuous fermionic bath, play an important role in condensed matter…
A bound on approximating non-Markovian dynamics by tensor networks in the time domain
Ilya Vilkoviskiy, Dmitry A. Abanin
Spin-boson (SB) model plays a central role in studies of dissipative quantum dynamics, both due its conceptual importance and relevance to a number of physical systems. Here we pro…
Adversarial Turing Patterns from Cellular Automata
Nurislam Tursynbek, Ilya Vilkoviskiy, Maria Sindeeva +1
State-of-the-art deep classifiers are intriguingly vulnerable to universal adversarial perturbations: single disturbances of small magnitude that lead to misclassification of most…
Persistent current in a thin superconducting wire
Ilya Vilkoviskiy
In this paper, we explore the persistent current in thin superconducting wires and accurately examine the effects of the phase slips on that current. The main result of the paper i…