Quantum Fisher information matrix of quantum metrology in a Heisenberg XXZ model
In this paper, we analyze the quantum Fisher information related to the Heisenberg model when prsence to the influence of a magnetic field. We utilize a multi-parametric estimation strategy in the field of quantum metrology, we utilize the method of vectorizing the density matrix along with the quan...
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| Veröffentlicht in: | Quantum Studies : Mathematics and Foundations 2024-06, Vol.11 (2), p.263-274 |
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| container_title | Quantum Studies : Mathematics and Foundations |
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| creator | hammou, Rachid Ben El Achab, Abdelfattah Habiballah, Nabil |
| description | In this paper, we analyze the quantum Fisher information related to the Heisenberg model when prsence to the influence of a magnetic field. We utilize a multi-parametric estimation strategy in the field of quantum metrology, we utilize the method of vectorizing the density matrix along with the quantum Fisher information matrix using the quantum Cramér–Rao bound. Our results affirm that the simultaneous estimation strategy provides higher precision compared to individual estimation strategies. |
| doi_str_mv | 10.1007/s40509-024-00315-w |
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| subjects | Cramer-Rao bounds Fisher information Heisenberg theory History and Philosophical Foundations of Physics Mathematical and Computational Physics Mathematical Physics Mathematics Mathematics and Statistics Metrology Parameter estimation Quantum Physics Regular Paper Statistical models Theoretical |
| title | Quantum Fisher information matrix of quantum metrology in a Heisenberg XXZ model |
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