Very naively, the following happens: Qubit A is entangled with Photon A. Qubit B is entangled with Photon B. Photon A and Photon B are measured together in way

Very naively, the following happens: Qubit A is entangled with Photon A. Qubit B is entangled with Photon B. Photon A and Photon B are measured together in way that does not permit distinguishing the two photons (this is where the magic happens) and destroyed. This results in Qubit A and Qubit B now being entangled.