Efficient Eigenstate Preparation in an Integrable Model with Hilbert Space Fragmentation
We demonstrate that eigenstates of selected interacting spin chains can be efficiently prepared using quantum circuits with polynomial depth in system size and particle number. While this is well established for free-fermionic spin chains, we extend this result to the folded XXZ model, an integrable...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-07-01
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| Series: | PRX Quantum |
| Online Access: | http://doi.org/10.1103/g9f9-p8ks |
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| _version_ | 1850068658857967616 |
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| author | Roberto Ruiz Alejandro Sopena Balázs Pozsgay Esperanza López |
| author_facet | Roberto Ruiz Alejandro Sopena Balázs Pozsgay Esperanza López |
| author_sort | Roberto Ruiz |
| collection | DOAJ |
| description | We demonstrate that eigenstates of selected interacting spin chains can be efficiently prepared using quantum circuits with polynomial depth in system size and particle number. While this is well established for free-fermionic spin chains, we extend this result to the folded XXZ model, an integrable rigid-rod deformation of the XX model with simple interactions that exhibits Hilbert space fragmentation. We construct explicit quantum circuits that efficiently prepare arbitrary eigenstates of this model on an open chain. Error-mitigated noisy simulations with up to 13 qubits and various qubit connectivities achieve a relative error below 5%. As a byproduct, we extend a recent reformulation of the Bethe ansatz as a quantum circuit to open boundary conditions. |
| format | Article |
| id | doaj-art-9cc28b5976104e5cb47a24b2178b4cea |
| institution | DOAJ |
| issn | 2691-3399 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | PRX Quantum |
| spelling | doaj-art-9cc28b5976104e5cb47a24b2178b4cea2025-08-20T02:48:01ZengAmerican Physical SocietyPRX Quantum2691-33992025-07-016303031610.1103/g9f9-p8ksEfficient Eigenstate Preparation in an Integrable Model with Hilbert Space FragmentationRoberto RuizAlejandro SopenaBalázs PozsgayEsperanza LópezWe demonstrate that eigenstates of selected interacting spin chains can be efficiently prepared using quantum circuits with polynomial depth in system size and particle number. While this is well established for free-fermionic spin chains, we extend this result to the folded XXZ model, an integrable rigid-rod deformation of the XX model with simple interactions that exhibits Hilbert space fragmentation. We construct explicit quantum circuits that efficiently prepare arbitrary eigenstates of this model on an open chain. Error-mitigated noisy simulations with up to 13 qubits and various qubit connectivities achieve a relative error below 5%. As a byproduct, we extend a recent reformulation of the Bethe ansatz as a quantum circuit to open boundary conditions.http://doi.org/10.1103/g9f9-p8ks |
| spellingShingle | Roberto Ruiz Alejandro Sopena Balázs Pozsgay Esperanza López Efficient Eigenstate Preparation in an Integrable Model with Hilbert Space Fragmentation PRX Quantum |
| title | Efficient Eigenstate Preparation in an Integrable Model with Hilbert Space Fragmentation |
| title_full | Efficient Eigenstate Preparation in an Integrable Model with Hilbert Space Fragmentation |
| title_fullStr | Efficient Eigenstate Preparation in an Integrable Model with Hilbert Space Fragmentation |
| title_full_unstemmed | Efficient Eigenstate Preparation in an Integrable Model with Hilbert Space Fragmentation |
| title_short | Efficient Eigenstate Preparation in an Integrable Model with Hilbert Space Fragmentation |
| title_sort | efficient eigenstate preparation in an integrable model with hilbert space fragmentation |
| url | http://doi.org/10.1103/g9f9-p8ks |
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