- #1
bluecap
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I read that if we construct an observable on a two-particle entangled system like the "center of mass" observable, this observable does not pick out a single state of the two-particle system. It only picks out a subspace of the full Hilbert space of all possible states--the subspace that satisfies the constraint that the center of mass position (the average position of the two particles) is equal to the measured value of the center of mass observable.
May I know why it is not possible to pick out a single state of two entangled particle system? What kind of observable where it is possible to pick out a single state of two entangled particle system?
How do you understand Hilbert Subspace?
May I know why it is not possible to pick out a single state of two entangled particle system? What kind of observable where it is possible to pick out a single state of two entangled particle system?
How do you understand Hilbert Subspace?