Show how we may determine the state vector

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1. Consider a pure ensemble of a spin 1/2 system.

Suppose <Sx>, <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> ?

2. Consider a mixed ensemble of a spin 1/2 system.

Suppose [Sx], [Sy] and [Sz] are known.

Show how we may construct the 2x2 density matrix which characterizes the ensemble.

Reference no: EM13905859

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