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Advanced Physics A source produces a beam of spin V2 qubits in the state hid-i 'm l+>+ e'\""'I) 5 m a) You use a z-analyzer to measure the spin in the z direction. What is the probability a particle will be found spin-up in the z direction? What is the probability a particle will be found spin-down in the z direction? b) All particles leaving the bottom port of the z-analyzer are then directed to an x- analyzer. What are the probabilities a particle from the original source make it out the top and bottom ports of the x-analyzer? c) Draw a schematic showing the successive measurements in parts a and b