Many-body $k$-local ground states as probes for unitary quantum metrology
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911298127659008 |
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| author | Hassani, Majid Hu, Mengyao Müller-Rigat, Guillem Fadel, Matteo Tura, Jordi |
| author_facet | Hassani, Majid Hu, Mengyao Müller-Rigat, Guillem Fadel, Matteo Tura, Jordi |
| contents | Multipartite quantum states saturating the Heisenberg limit of sensitivity typically require full-body correlators to be prepared. On the other hand, experimentally practical Hamiltonians often involve few-body correlators only. Here, we study the metrological performances under this constraint, using tools derived from the quantum Fisher information. Our work applies to any encoding generator, also including a dependence on the parameter. We find that typical random symmetric ground states of $k$-body permutation-invariant Hamiltonians exhibit Heisenberg scaling. Finally, we establish a tradeoff between the Hamiltonian's gap, which quantifies preparation hardness, and the quantum Fisher information of the corresponding ground state. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_02976 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Many-body $k$-local ground states as probes for unitary quantum metrology Hassani, Majid Hu, Mengyao Müller-Rigat, Guillem Fadel, Matteo Tura, Jordi Quantum Physics Multipartite quantum states saturating the Heisenberg limit of sensitivity typically require full-body correlators to be prepared. On the other hand, experimentally practical Hamiltonians often involve few-body correlators only. Here, we study the metrological performances under this constraint, using tools derived from the quantum Fisher information. Our work applies to any encoding generator, also including a dependence on the parameter. We find that typical random symmetric ground states of $k$-body permutation-invariant Hamiltonians exhibit Heisenberg scaling. Finally, we establish a tradeoff between the Hamiltonian's gap, which quantifies preparation hardness, and the quantum Fisher information of the corresponding ground state. |
| title | Many-body $k$-local ground states as probes for unitary quantum metrology |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2512.02976 |