Quantum Fisher information matrix in Heisenberg XY model
| Autor: | Bakmou, L., Slaoui, A., Daoud, M., Laamara, R. Ahl |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Quantum Information Processing (2019) 18: 163 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s11128-019-2282-x |
| Popis: | The quantum Fisher information matrix provides us with a tool to determine the precision, in any multiparametric estimation protocol, through quantum Cram\'er-Rao bound. In this work, we study simultaneous and individual estimation strategies using the density matrix vectorization method. Two special Heisenberg $XY$ models are considered. The first one concerns the anisotropic $XY$ model in which the temperature $T$ and the anisotropic parameter $\gamma$ are estimated. The second situation concerns the isotropic $XY$ model submitted to an external magnetic field $B$ in which the temperature and the magnetic field are estimated. Our results show that the simultaneous strategy of multiple parameters is always advantageous and can provide a better precision than the individual strategy in the multiparameter estimation procedures. Comment: 21 pages, 10 figures |
| Databáze: | arXiv |
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