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| Main Authors: | , , , , , , , , , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.19340 |
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| _version_ | 1866917101435879424 |
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| author | Vovrosh, Joseph Julià-Farré, Sergi Krinitsin, Wladislaw Kaicher, Michael Hayes, Fergus Gottlob, Emmanuel Kshetrimayum, Augustine Bidzhiev, Kemal Jäger, Simon B. Schmitt, Markus Tindall, Joseph Dalyac, Constantin Mendes-Santos, Tiago Dauphin, Alexandre |
| author_facet | Vovrosh, Joseph Julià-Farré, Sergi Krinitsin, Wladislaw Kaicher, Michael Hayes, Fergus Gottlob, Emmanuel Kshetrimayum, Augustine Bidzhiev, Kemal Jäger, Simon B. Schmitt, Markus Tindall, Joseph Dalyac, Constantin Mendes-Santos, Tiago Dauphin, Alexandre |
| contents | The quantum dynamics of many-qubit systems is an outstanding problem that has recently driven significant advances in both numerical methods and programmable quantum processing units. In this work, we employ a comprehensive toolbox of state-of-the-art numerical approaches to classically simulate the dynamics of the two-dimensional transverse field Ising model. Our methods include three different tensor network techniques -- matrix product states, tree-tensor networks, and two-dimensional tensor-networks under the belief propagation approximation -- as well as time-dependent variational Monte Carlo with Neural Quantum States. We focus on two paradigmatic dynamical protocols: (i) quantum annealing through a critical point and (ii) post-quench dynamics. Our extensive results show the quantitative predictions of various state-of-the-art numerical methods providing a benchmark for future numerical investigations and experimental studies with the aim to push the limitations on classical and QPUs. In particular, our work connects classical simulability to different regimes associated with quantum dynamics in Rydberg arrays - namely, quasi-adiabatic dynamics, the Kibble-Zurek mechanism, and quantum quenches. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_19340 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Simulating dynamics of the two-dimensional transverse-field Ising model: a comparative study of large-scale classical numerics Vovrosh, Joseph Julià-Farré, Sergi Krinitsin, Wladislaw Kaicher, Michael Hayes, Fergus Gottlob, Emmanuel Kshetrimayum, Augustine Bidzhiev, Kemal Jäger, Simon B. Schmitt, Markus Tindall, Joseph Dalyac, Constantin Mendes-Santos, Tiago Dauphin, Alexandre Quantum Physics Strongly Correlated Electrons The quantum dynamics of many-qubit systems is an outstanding problem that has recently driven significant advances in both numerical methods and programmable quantum processing units. In this work, we employ a comprehensive toolbox of state-of-the-art numerical approaches to classically simulate the dynamics of the two-dimensional transverse field Ising model. Our methods include three different tensor network techniques -- matrix product states, tree-tensor networks, and two-dimensional tensor-networks under the belief propagation approximation -- as well as time-dependent variational Monte Carlo with Neural Quantum States. We focus on two paradigmatic dynamical protocols: (i) quantum annealing through a critical point and (ii) post-quench dynamics. Our extensive results show the quantitative predictions of various state-of-the-art numerical methods providing a benchmark for future numerical investigations and experimental studies with the aim to push the limitations on classical and QPUs. In particular, our work connects classical simulability to different regimes associated with quantum dynamics in Rydberg arrays - namely, quasi-adiabatic dynamics, the Kibble-Zurek mechanism, and quantum quenches. |
| title | Simulating dynamics of the two-dimensional transverse-field Ising model: a comparative study of large-scale classical numerics |
| topic | Quantum Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2511.19340 |