I systems is described by the 2 x 2 density matrix p and the 7. An ensemble of identically prepared spin expectation value of an observable A is defined by the ensemble average (A) = Tr[Aß]. The expectation values of (Š.), (Šy), and (Ŝ;) (7.1) Show that Trp² < 1. (7.2) Show that ((Ŝ4))² + ((§y))² + (())² = for the pure ensemble. (7.3) Find the state vector of the pure ensemble. can be measured in experiment and are supposedly known here.
I systems is described by the 2 x 2 density matrix p and the 7. An ensemble of identically prepared spin expectation value of an observable A is defined by the ensemble average (A) = Tr[Aß]. The expectation values of (Š.), (Šy), and (Ŝ;) (7.1) Show that Trp² < 1. (7.2) Show that ((Ŝ4))² + ((§y))² + (())² = for the pure ensemble. (7.3) Find the state vector of the pure ensemble. can be measured in experiment and are supposedly known here.
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![7. An ensemble of identically prepared spin S =
expectation value of an observable Ä is defined by the ensemble average (A) = Tr[Ap]. The expectation values of
(Sz), (Sy), and (S;) can be measured in experiment and are supposedly known here.
(7.1) Show that Trp² < 1.
(7.2) Show that ({Ŝ.})² + ((§y})² + ((Ŝ:))² = for the pure ensemble.
(7.3) Find the state vector of the pure ensemble.
systems is described by the 2 x 2 density matrix p and the
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Transcribed Image Text:7. An ensemble of identically prepared spin S =
expectation value of an observable Ä is defined by the ensemble average (A) = Tr[Ap]. The expectation values of
(Sz), (Sy), and (S;) can be measured in experiment and are supposedly known here.
(7.1) Show that Trp² < 1.
(7.2) Show that ({Ŝ.})² + ((§y})² + ((Ŝ:))² = for the pure ensemble.
(7.3) Find the state vector of the pure ensemble.
systems is described by the 2 x 2 density matrix p and the
%3D
%3D
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