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Author

A. Sotnikov

2 papers indexed here

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Preprint Sep 2026

CTMRG as a tensor-network message-passing algorithm

We formulate the corner transfer matrix equations, and the corner transfer matrix renormalization group built on them, as a set of local equations on general planar graphs. These equations depend only on the local subgraphs of the planar graph and are glued together consistently to describe the whole graph. Solving the...

Illia Lukin, A. Sotnikov · 0 citations
Preprint Sep 2026

Low-rank propagation for tridiagonalizable open quantum systems: near-linear scaling with system size

The quadratic growth of the density matrix with Hilbert-space dimension D is the central obstacle to simulating large open quantum systems. We introduce a deterministic algorithm that eliminates it for Lindblad dynamics whose Hamiltonian consists of a time-dependent diagonal part plus terms that are tridiagonal after r...

R. Ovsiannikov, Kurt Jacobs, A. Sotnikov et al. · 0 citations

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