Entanglement. Imagine you have a set up like the one from Thursday's lecture, which produces pairs of entangled particles from a black box source. One of the entangled particles, particle A, goes left into Stern-Gerlach analyzer A. The other particle of the entangled pair, particle B, does right into Stern-Gerlach analyzer B. The pair is \\/15 [1T,7,) + [{,1,)]. In this entangled state, recall that conducting a measurement on one particle's spin determines the other particle's spin state to be the same as the state of the one you measured. a. Using a SG Analyzer A oriented 120 degrees from z-axis, you measure particle A to be |T12). After this measurement, what is the quantum state of particle B? If you measure particle B's spin with SG Analyzer B oriented 120 degrees from the z-axis, what is probability of particle B exiting the plus-port of Analyzer B? Analyzer A Analyzer B thdeA Particle B \\ & |\\ Source \\ + , ? ] |T> 120 +120 +120 represented by the quantum state |) = b. Using SG Analyzer A oriented in 120 degrees from z-axis, you measure the particle A to be |T;;). After this measurement, what is the quantum state of particle B? If you measure particle B's spin with SG analyzer B oriented in the +z orientation, what is probability of measuring spin-up? Analyzer B Analyzer A N B\\ Particle A Particle B I || Source |Thlzn +120 +120 c. Are your answers consistent with the observations from experiments with these devices that we made in class? Particularly, is your answer to part b consistent with Observation 1, and is your answer to part consistent with Observation 2? (See slides from class.) Explain in a couple of sentences