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A single photon from an unpolarized wave travelling in the z direction is directed through a...

A single photon from an unpolarized wave travelling in the z direction is directed through a series of three polarizers: first a polarizer with its axis in the x direction, then a polarizer at 30 degrees to the x axis, then finally a y polarizer.

  1. What is the probability that the photon makes it through the first (x) polarizer?

  2. If it comes through the first polarizer, what is its polarization state in between

    the first two polarizers?

3. What is the probability that the initial photon makes it through the first two polarizers?

  1. If it comes through the first two polarizers, what is its polarization state in between the second and third polarizers?

  2. What is the probability that the initial photon makes it through all three polarizers?

  3. If it comes through all three polarizers, what is its polarization state?

  4. If it comes through all three polarizers, what was its polarization state in

    between the first and second polarizers?

  5. Do the probabilities for all the possible outcomes add to 1?

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