Quarter wave plate with 45 and 135 degree polarized light

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StevieTNZ
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Hi there,

If we have a quarter wave plate orientated at 45 degrees in reference to the incident light, if the input photon was 45 degrees polarised, what would the output be? Similiarily with 135 polarised photons? And what happens if the photon is written as -|45> compared to |45>? Does that change the sign of the output?

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Incoming light polarized either parallel to or perpendicular to the axis of the wave plate is unaffected by the wave plate. So if I've interpreted your question correctly, the light will be unaffected in all the cases you've asked about.