Photon's Probability of Passing Through Polaroid

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The discussion focuses on calculating the probability of a photon in a mixed state passing through an x-polarized filter. The proposed approach suggests that the probability can be expressed as p(h->x) = |<h|x>||<h|x>|* = |a|^2. There is a clarification regarding terminology, noting that "Polaroid" is a trademarked term and should be referred to as "x-polarized film." Participants are encouraged to verify the accuracy of the proposed calculation method. The conversation emphasizes the importance of precise terminology and mathematical formulation in photon physics.
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When I am studying photon physics, one question come to my mind about mixed states. Let a photon be in the state |h> = (a;b) where (a;b) is a column vector with complex entries. How can we calculate the probability of its passing through an x-polaroid?

My approach: p(h->x) = |<h|x>||<h|x>|* = |a|^2.

But I'm not sure about it.. Can anyone check this idea whether it is true or not.
 
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Do you mean an "x- polarized" film? "Polaroid" is a copyrighted brand name.
 

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