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 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.