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2i+1 + 3 i+1 F|+ -> + [recall, |+ -> means that particle #1 is in the |+> state (usual Z basis) and #2 is in the |-> state.] A) Show that this state is already normalized. B) Is this state separable or entangled? C) A measurement of S, is made on particle #1. What are the possible results and with what probabilities? D) A measurement of Sz is made on particle #2. What are the possible results and with what probabilities? E) Calculate the expectation value of the correlation function between these two measurements < Sz1 Sz2 >. (Don't use matrices -- use probabilities!)

2i+1 + 3 i+1 F|+ -> + [recall, |+ -> means that particle #1 is in the |+> state (usual Z basis) and #2 is in the |-> state.] A) Show that this state is already normalized. B) Is this state separable or entangled? C) A measurement of S, is made on particle #1. What are the possible results and with what probabilities? D) A measurement of Sz is made on particle #2. What are the possible results and with what probabilities? E) Calculate the expectation value of the correlation function between these two measurements < Sz1 Sz2 >. (Don't use matrices -- use probabilities!)

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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2i+1 i+1 |- +> + 3 [recall, |+ -> means that particle #1 is in the |+> state (usual Z basis) and #2 is in the |-> state.] A) Show that this state is already normalized. B) Is this state separable or entangled? C) A measurement of S, is made on particle #1. What are the possible results and with what probabilities? D) A measurement of Sz is made on particle #2. What are the possible results and with what probabilities? E) Calculate the expectation value of the correlation function between these two measurements < Sz1 Sz2 >. (Don't use matrices -- use probabilities!)
Transcribed Image Text:2i+1 i+1 |- +> + 3 [recall, |+ -> means that particle #1 is in the |+> state (usual Z basis) and #2 is in the |-> state.] A) Show that this state is already normalized. B) Is this state separable or entangled? C) A measurement of S, is made on particle #1. What are the possible results and with what probabilities? D) A measurement of Sz is made on particle #2. What are the possible results and with what probabilities? E) Calculate the expectation value of the correlation function between these two measurements < Sz1 Sz2 >. (Don't use matrices -- use probabilities!)
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