It turns out what they mean is that each photon impinging on the device produces, on average, 1.3 electrons. So there is not an explicit claim from an energy perspective that the device is more than 100% efficient.
But it does raise the question: Could this technology be used to significantly boost the efficiency of solar cells? The article does not address that.
So... Was the theory (quantum electrodynamics) wrong?
Someone please inform me if I'm missing a subtlety, but this seems like news for this specific kind of photodetector not physics in general.
130% seems really interesting. Is it really just the color change?