Nonlocal metasurfaces have been enabling frequency-selective control over the spatial profile of light, but have thus far been limited to circular polarizations and/or 25% maximal efficiency. Here, we extend these capabilities to include any polarization state with near-unity efficiency. We report the finding of a polarization-agnostic geometric phase, and experimentally establish that it applies even to linear polarization states. Using symmetry-breaking design principles, this platform has complete control over all four physical degrees of freedom available to a Fano resonance (lifetime, resonant phase, and resonant polarization) and opens opportunities in augmented reality, secure optical communications, and nonlinear and quantum optics.
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