Bayesian stepwise estimation of qubit rotations
Fuente:
arXiv
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| Autores principales: | , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912749348454400 |
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| author | Manrique, Mylenne Barbieri, Marco Di Vizio, Assunta Parisi, Miranda Bizzarri, Gabriele Gianani, Ilaria Paris, Matteo G. A. |
| author_facet | Manrique, Mylenne Barbieri, Marco Di Vizio, Assunta Parisi, Miranda Bizzarri, Gabriele Gianani, Ilaria Paris, Matteo G. A. |
| contents | This work investigates Bayesian stepwise estimation (Se) for measuring the two parameters of a unitary qubit rotation. While asymptotic analysis predicts a precision advantage for SE over joint estimation (JE) in regimes where the quantum Fisher information matrix is near-singular ("sloppy" models), we demonstrate that this advantage is mitigated within a practical Bayesian framework with limited resources. We experimentally implement a SE protocol using polarisation qubits, achieving uncertainties close to the classical Van Trees bounds. However, comparing the total error to the ultimate quantum Van Trees bound for JE reveals that averaging over prior distributions erases the asymptotic SE advantage. Nevertheless, the stepwise strategy retains a significant practical benefit as it operates effectively with simple, fixed measurements, whereas saturating the JE bound typically requires complex, parameter-dependent operations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_04898 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bayesian stepwise estimation of qubit rotations Manrique, Mylenne Barbieri, Marco Di Vizio, Assunta Parisi, Miranda Bizzarri, Gabriele Gianani, Ilaria Paris, Matteo G. A. Quantum Physics Data Analysis, Statistics and Probability This work investigates Bayesian stepwise estimation (Se) for measuring the two parameters of a unitary qubit rotation. While asymptotic analysis predicts a precision advantage for SE over joint estimation (JE) in regimes where the quantum Fisher information matrix is near-singular ("sloppy" models), we demonstrate that this advantage is mitigated within a practical Bayesian framework with limited resources. We experimentally implement a SE protocol using polarisation qubits, achieving uncertainties close to the classical Van Trees bounds. However, comparing the total error to the ultimate quantum Van Trees bound for JE reveals that averaging over prior distributions erases the asymptotic SE advantage. Nevertheless, the stepwise strategy retains a significant practical benefit as it operates effectively with simple, fixed measurements, whereas saturating the JE bound typically requires complex, parameter-dependent operations. |
| title | Bayesian stepwise estimation of qubit rotations |
| topic | Quantum Physics Data Analysis, Statistics and Probability |
| url | https://arxiv.org/abs/2512.04898 |