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7. Suppose that X, Y are two observables and that (X) = (Y) for every state |v). Show that X = Y. %3D

7. Suppose that X, Y are two observables and that (X) = (Y) for every state |v). Show that X = Y. %3D

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7. Suppose that X,Y are two observables and that (X) = (Y) for every state |w). Show that X = Y. 8. Let |V) E H1) 8 H2). Show that |V) is entangled if and only if for all |) € H), lø) E H), (V|t¢)| < 1. 9. Let A € B(H"), B E B(H®).
Transcribed Image Text:7. Suppose that X,Y are two observables and that (X) = (Y) for every state |w). Show that X = Y. 8. Let |V) E H1) 8 H2). Show that |V) is entangled if and only if for all |) € H), lø) E H), (V|t¢)| < 1. 9. Let A € B(H"), B E B(H®).
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