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Trapped Ion Quantum Computing

Many-body k-local ground states as probes for unitary quantum metrology

arXiv
Authors: Majid Hassani, Mengyao Hu, Guillem Müller-Rigat, Matteo Fadel, Jordi Tura

Year

2025

Paper ID

16299

Status

Preprint

Abstract Read

~2 min

Abstract Words

98

Citations

N/A

Abstract

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.

Why This Paper Matters

  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2025 reference point for readers tracking recent quantum research.
  • Multipartite quantum states saturating the Heisenberg limit of sensitivity typically require full-body correlators to be prepared.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2512.02976 [2] arXiv https://arxiv.org/abs/2512.02976 [3] Publisher https://arxiv.org/abs/2512.02976

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