54Q7 In this question |V> and |H> represent photon polarization states that are

Question

54Q7

In this question |V> and |H> represent photon polarization states that are vertically-polarized and horizontally-polarized relative to the z-axis, while |V_45 and |H_45> represent photon states that are vertically-polarized and horizontally-polarized relative to an axis n pointing in the direction defined by the spherical polar angles theta = 45 degree and phi = 0 degree. The following relationships apply: |V_45> = 1/squareroot 2 (|V > + |H>) and |H_45> = 1/squareroot 2 (-|V> + |H>). The left-hand side of the equation below describes an entangled two-photon polarization state. Express this state in terms of H and V and specify your answer by entering numbers into the four empty boxes on the right-hand side of the equation, explicitly including any zeros that are needed. 1/squareroot 2 (|V_45 V_45 > - |H_45 H_45>) = 1/squareroot 2 Then drag a phrase from the options below to complete the following sentence and create a true statement about this state: If photon 1 is measured to have horizontal polarization relative to the z-axis then, on a subsequent measurement, photon 2 is certain to have

Explanation / Answer

for first bracket it should be -1/sqrt(2)

for second bracket it should be 1/sqrt(2)

for third bracket it should be -1/sqrt(2)

for fourth bracket it should be 1/sqrt(2)

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