Quantum Fisher information matrix in Heisenberg XY model

The quantum Fisher information matrix provides us with a tool to determine the precision, in any multiparametric estimation protocol, through quantum Cramér–Rao bound. In this work, we study simultaneous and individual estimation strategies using the density matrix vectorization method. Two special...

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Bibliographic Details
Published inQuantum information processing Vol. 18; no. 6; pp. 1 - 20
Main Authors Bakmou, L., Slaoui, A., Daoud, M., Ahl Laamara, R.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.06.2019
Springer Nature B.V
Subjects
Anisotropy
Data Structures and Information Theory
Fisher information
Magnetic fields
Mathematical models
Mathematical Physics
Matrix algebra
Matrix methods
Parameter estimation
Physics
Physics and Astronomy
Quantum Computing
Quantum Information Technology
Quantum Physics
Spintronics
model
Quantum Fisher information matrix
Quantum Heisenberg
Quantum estimation
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Summary:The quantum Fisher information matrix provides us with a tool to determine the precision, in any multiparametric estimation protocol, through quantum Cramér–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 γ 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.
ISSN:1570-0755
1573-1332
DOI:10.1007/s11128-019-2282-x