Dynamics of disordered quantum systems with two- and three-dimensional tensor networks

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Authors: Joseph Tindall, Antonio Francesco Mello, Matthew Fishman, E. Miles Stoudenmire, Dries Sels
Cited by: 7
References: 52

Abstract

Large-scale quantum annealing dynamics of Ising spin glasses were recently implemented on D-Wave's Advantage2 system on a range of lattices. After extensive comparison with existing numerical methods, these experiments were claimed to be beyond the reach of classical computation. Here, we simulated these spin-glass models with lattice-specific tensor networks, using belief propagation (BP) to keep up with the entanglement generated during the time evolution and then extracting expectation values with more sophisticated variants of BP. We found that state-of-the-art accuracies could be achieved with modest computational resources. Moreover, our results are scalable in both two and three dimensions, which we leveraged to verify universal Kibble-Zurek physics on systems involving hundreds of qubits.

Fields of Study & Subjects

Quantum many-body systems Quantum Computing Algorithms and Architecture Theoretical and Computational Physics

Publication details

Journal / source
Science
Publisher
American Association for the Advancement of Science (AAAS)
Volume
392
Issue
6800
Pages
868–872
Publication date
21 May 2026
Language
EN