(a) Consider a pure ensemble of identically prepared spin 1/2 systems. Suppose the expectation values S x...
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(a) Consider a pure ensemble of identically prepared spin 1/2 systems. Suppose the expectation values 〈Sx〉 and 〈Sz〉 and the sign of 〈Sy〉 are known. Show how we may determine the state vector. Why is it unnecessary to know the magnitude of 〈Sy〉?
(b) Consider a mixed ensemble of spin 1/2 systems. Suppose the ensemble averages [Sx] , [Sy], and [Sz] are all known. Show how we may construct the 2 x 2 ensity matrix that characterizes the ensemble.
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a To determine the state vector of a pure ensemble of identically prepared spin 12 systems we can start by considering the general form of the spin op...View the full answer
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