\f5. (20 points) You have devices that measure a two-state quantum system to be a certain state lo), [B) or ly) and then send them out the "yes" or "no" ports of the device based on the results of the measurement. You connect the machines in the following way and then send particles of state | Vo) = [+) into the machine. [Port A] [Port B] [Port C] no no no B [Port D] Y yes yes yes 1B) = 21-) 17) = jel+) + #l-) Find the probabilities that the particle exits each one of the ports and verify that they add up to the correct value