3 papers
quant-ph2025
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…
quant-ph2025
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.…
math-ph2025
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…