I think this is wrong. If you entangle the photons with the electron, even if you don’t measure them, you won’t see an interference pattern.
It’s possible I’m wrong. Sadly, I’d have to actually do the math to demonstrate it with entanglement, and I am feeling astoundingly lazy right now. Probably less lazy tomorrow.
You can create as many photons as you want, each entangled with the original one. The no-cloning theorem says that you can’t create 1000 unentangled but identical photons.
Hmm, you’re right that if it’s only along 1 of 2 axes the theorem wouldn’t apply, since you could just measure it. I guess this would only apply to an actual electron-photon entanglement process that could output a mixture of horizontal and vertical. Since just having it be discrete requires realio trulio measuring the electron, that would seem to support it destroying the interference pattern, too.
It’s possible I’m wrong. Sadly, I’d have to actually do the math to demonstrate it with entanglement, and I am feeling astoundingly lazy right now. Probably less lazy tomorrow.
Hmm, you’re right that if it’s only along 1 of 2 axes the theorem wouldn’t apply, since you could just measure it. I guess this would only apply to an actual electron-photon entanglement process that could output a mixture of horizontal and vertical. Since just having it be discrete requires realio trulio measuring the electron, that would seem to support it destroying the interference pattern, too.