Local quantum Fisher information and quantum correlation in the mixed-spin Heisenberg XXZ chain

Abstract

We study the local quantum Fisher information (LQFI) in the mixed-spin Heisenberg XXZ chain. Both the maximal and minimal LQFI are studied and the former is essential to determine the accuracy of the quantum parameter estimation, the latter can be well used to characterize the discord-type quantum correlations. We investigate the effects of the temperature and the anisotropy parameter on the maximal LQFI and thus on the accuracy of the parameter estimation. Then we make use of the minimal LQFI to study the discord-type correlations of different site pairs. Different dimensions of the subsystems cause different values of the minimal LQFI which reflects the asymmetry of the discord-type correlation. In addition, the site pairs at different positions of the spin chains have different minimal LQFI, which reveals the influence of the surrounding spins on the bipartite quantum correlation. Our results show that the LQFI obtained through a simple calculation process provides a convenient way to investigate the discord-type correlation in high-dimensional systems.

Graphical abstract

Keywords

local quantum Fisher information / quantum correlation / mixed-spin Heisenberg XXZ chain

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Declarations

The authors declare that they have no competing interests and there are no conflicts.

Acknowledgements

The work was supported by the National Natural Science Foundation of China (NSFC) under Grant No. 12175052 and the Postdoctoral Science Foundation of China (No. 2022M722794).

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