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of Book 2, and particularly to Achievements 6.8, 6.9 and 7.4. Two photons moving

ID: 3163483 • Letter: O

Question

of Book 2, and particularly to Achievements 6.8, 6.9 and 7.4. Two photons moving in opposite directions along the y axis are in the entangled polarization state IN)- (VV) IHH)), where V denotes vertical polarization relative to the 2-axis, and H denotes horizontal polarization relative to the 2-axis. The linear polarizations of the two photons are measured relative to different axes in the zz-plane. For photon 1, we use the axis ni, whose direction is defined by 6- 01, where 0 is the polar angle of spherical coordinates. For photon 2, we use the axis 2, whose direction is defined by 02. We define the following probabilities: Av is the probability that photon l gives vertical polarization relative to ni and photon 2 gives vertical polarization relative to n2. PIH is the probability that photon 1 gives horizontal polarization relative to n1 an photon 2 gives horizontal polarization relative to n2. is the probability that photon l gives vertical polarization relative to ni and photon 2 gives horizontal polarization relative to na. PIV is the probability that photon 1 gives horizontal polarization relative to n 1 and photon 2 gives vertical polarization relative to n2. (a) Explain carefully why (2 marks

Explanation / Answer

1) because the sum of probabilities must be equal to unity so Pv v+PHH+PvH+PHv=1

2)local hidden variable throry is used to explain the counter intutive features of quantum mechanics, It refers to all types of the theory that attempt to account for the probabilistic features of quantum mechanics.

the mathematical description of this theory was given by bell .one of bell's paper showed that some local hidden variabls cannot reproduce the quantum measurement,