Consider a system made up of two spin particles. Observer A specializes in measuring the spin

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Consider a system made up of two spin ½ particles. Observer A specializes in measuring the spin components of one of the particles (s1z, s1x and so on), while observer B measures the spin components of the other particle. Suppose the system is known to be in a spin-singlet state, that is, S total = 0.

a. What is the probability for observer A to obtain s1z = h/2 when observer B makes no measurement? Same problem for s1x = h/2.

b. Observer B determines the spin of particle 2 to be in the s2z = h/2 state with certainty. What can we then conclude about the outcome of observer A’s measurement if (i) A measures s1z and (ii) A measures s1x? Justify your answer.

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