  We propose a metrology scheme that is made robust to a wide range of noise
processes by using the passive, error-preventing properties of
symmetry-protected topological phases. The so-called fractionalized edge mode
of an antiferromagnetic Heisenberg spin-1 chain in a rotationally-symmetric
Haldane phase can be used to measure the direction of an unknown electric
field, by exploiting the way in which the field direction reduces the symmetry
of the chain. Specifically, the direction of the field is registered in the
holonomy under an adiabatic sensing protocol, and the degenerate fractionalized
edge mode is protected through this process by the remaining reduced symmetry.
We illustrate the scheme with respect to a potential realization by Rydberg
dressed atoms.
