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The state space of a composite physical system is the tensor product of the component state spaces. For example, H = H1 8 72. If

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The state space of a composite physical system is the tensor product of the component state spaces. For example, H = H1 8 72. If the subsystems are prepared to states (v1) and (12), then their composite system is in state 12/) = 12/1) 8 12/2) EH. Let 12/1) = a 10) + 6/1) EH1 12/2) = c10) + d /1) E H2 . Compute explicitly () = (21) 2 (2/2). Show that the Bell state V= ( 10 ) @ 10 ) + 1 1) 8 1 1 ) ) cannot be written as a tensor product of any two states (v1) and |7/2)

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