  The aim of quantum metrology is to estimate target parameters as precisely as
possible. In this paper, we propose a protocol for quantum metrology based on
symmetry-protected adiabatic transformation. We introduce a ferromagnetic Ising
model with a transverse field as a probe and consider the estimation of a
longitudinal field. Without the transverse field, the ground state of the probe
is given by the Greenberger-Horne-Zeilinger state, and thus the Heisenberg
limit estimation of the longitudinal field can be achieved through parity
measurement. We find that information of the longitudinal field encoded on
parity can be mapped to global magnetization by symmetry-protected adiabatic
transformation, i.e., parity measurement can be replaced with global
magnetization measurement. Our scheme requires neither accurate control of
individual qubits nor that of interaction strength.
