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Quantum Information Processing
Published in: Quantum Information Processing 6/2019

01-06-2019

Quantum Fisher information matrix in Heisenberg XY model

Authors: L. Bakmou, A. Slaoui, M. Daoud, R. Ahl Laamara

Published in: Quantum Information Processing | Issue 6/2019

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Abstract

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 \(\gamma \) 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.
previous article Quantum state transfer through a spin chain in two non-Markovian baths
next article Quantum coherence in mutually unbiased bases

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Metadata
Title
Quantum Fisher information matrix in Heisenberg XY model
Authors
L. Bakmou
A. Slaoui
M. Daoud
R. Ahl Laamara
Publication date
01-06-2019
Publisher
Springer US
Published in
Quantum Information Processing / Issue 6/2019
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-019-2282-x

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