3 papers
quant-ph2026
Entanglement scaling in matrix product state representation of smooth functions and their shallow quantum circuit approximations
Vladyslav Bohun, Illia Lukin, Mykola Luhanko +4
Encoding classical data in a quantum state is a key prerequisite of many quantum algorithms. Recently matrix product state (MPS) methods emerged as the most promising approach for…
cond-mat.dis-nn2025
Many-body localization in a quantum Ising model with the long-range interaction: Accurate determination of the transition point
Illia Lukin, Andrii Sotnikov, Alexander L. Burin
Many-body localization (MBL) transition emerges at strong disorder in interacting systems, separating chaotic and reversible dynamics. Although the existence of MBL transition with…
cond-mat.str-el2025
Dimerization in the SU(4) Heisenberg model on the cubic lattice: iPEPS study
Illia Lukin, Andrii Sotnikov
We study SU(4)-symmetric Heisenberg model on the cubic lattice with spatially anisotropic magnetic couplings. We utilize several approaches based on the tensor-network representati…