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A central qubit coupled to an Ising ring of $N$ qubits, operating close to acritical point is investigated as a potential precision quantum magnetometerfor estimating an applied transverse magnetic field. We compute the QuantumFisher information for the central, probe qubit with the Ising chaininitialized in its ground state or in a thermal state. The non-unitaryevolution of the central qubit due to its interaction with the surroundingIsing ring enhances the accuracy of the magnetic field measurement. Near thecritical point of the ring, Heisenberg-like scaling of the precision inestimating the magnetic field is obtained when the ring is initialized in itsground state. However, for finite temperatures, the Heisenberg scaling islimited to lower ranges of $N$ values.

Quantum Critical Environment Assisted Quantum Magnetometer