Question

2. (a) (20 points) Given |b) = |-), find (S2), AS, (S2), and ASg. Sketch a histogram like McIntyre does in figure 2.8. (I.e.(а) Win) = + Win) =+)x P P (S) р 1 AS2=2 AS=0 P Sz h h 2 2 2 Idealized measurements of S, with (a) a) input state and (b) wit

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Ans (a) <-I S71-7 = (o1)/10 2 O-1 <S77= Idewfiy operator h 11 then 2 $z7= 111-Page Thus 2 -15x1- o1) 2 11 4 0 1S1- s= 111- 4 A =P 47= <SK7= O ASx= <1=4t S77--h Sx Because with resutt make ende Yes these Atate is ate in pea tability So We S7pearement But(6) C As 11 క్ then AS 5-i> Mes resutt make sense be cause /0 Ji(U L 74.Page superpastien wth cyla prababith S theuefore (e) 1 5 +151-=0 <+1Szlt7= h/ AS -1571+7=0 2-1sp1-7--2 then = <ts7 5 + 1S2->Page 2 h 1-9 25 5 ASz-Hh Pt S2 Yu resutt make Aufaupes ton ferator with be cause state is igenstates dinse meualbrtabLity Mal

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