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## Main Question or Discussion Point

If I try to send a vertically polarized photon through one slit and a horizontally polarized photon through the other slit, they actually go through both slits.

But when I measure and find out through which slit the horizontally polarized photon went, I automatically know that the vertically polarized photon went through the other slit.

Mathematically,

(|L>

(|R>

Because both superpositions interfere behind the double slit, I get an entangled state:

(|L>

Am I right about this or did I do my calculations wrong?

But when I measure and find out through which slit the horizontally polarized photon went, I automatically know that the vertically polarized photon went through the other slit.

Mathematically,

(|L>

_{H}+ |R>_{H}) / √2 is the superposition state for the horizontal photon(|R>

_{V}+ |L>_{V})/√2 is the superposition state for the vertical photonBecause both superpositions interfere behind the double slit, I get an entangled state:

(|L>

_{H}|R>_{V}- |R>_{H}|L>_{V}) / √2Am I right about this or did I do my calculations wrong?