Dynamics of disordered quantum systems with two- and three-dimensional tensor networks.
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| Title: | Dynamics of disordered quantum systems with two- and three-dimensional tensor networks. |
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| Authors: | Tindall, Joseph (AUTHOR), Mello, Antonio Francesco (AUTHOR), Fishman, Matthew (AUTHOR), Stoudenmire, E. Miles (AUTHOR), Sels, Dries (AUTHOR) |
| Source: | Science. 5/21/2026, Vol. 392 Issue 6800, p868-872. 5p. |
| Subjects: | Quantum annealing, Simulation methods & models, Quantum phase transitions, Quantum correlations |
| 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. Editor's summary: Simulating the dynamics of quantum many-body systems is a formidable computational task. Over the years, many classical methods to tackle this problem have been developed. Some of them are limited to a single spatial dimension and others are plagued by numerical instabilities. Quantum processors are expected to have a quantum advantage over their classical counterparts for some of these tasks. Tindall et al. developed a classical approach based on tensor networks to simulate the dynamics of a disordered spin model in two and three spatial dimensions. The researchers showed that these dynamics can be simulated on classical hardware at least as efficiently as in a recent demonstration on a quantum annealer, putting the ball back in quantum's court. —Jelena Stajic [ABSTRACT FROM AUTHOR] |
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| Database: | Psychology and Behavioral Sciences Collection |
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| 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. Editor's summary: Simulating the dynamics of quantum many-body systems is a formidable computational task. Over the years, many classical methods to tackle this problem have been developed. Some of them are limited to a single spatial dimension and others are plagued by numerical instabilities. Quantum processors are expected to have a quantum advantage over their classical counterparts for some of these tasks. Tindall et al. developed a classical approach based on tensor networks to simulate the dynamics of a disordered spin model in two and three spatial dimensions. The researchers showed that these dynamics can be simulated on classical hardware at least as efficiently as in a recent demonstration on a quantum annealer, putting the ball back in quantum's court. —Jelena Stajic [ABSTRACT FROM AUTHOR] |
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| ISSN: | 00368075 |
| DOI: | 10.1126/science.adx2728 |
