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Consider a bipartite quantum system with subsystems A and B. Assume that a generalized local measurement has been done on A. Determine the reduced density

Consider a bipartite quantum system with subsystems A and B. Assume that a generalized local measurement has been done on A. Determine the reduced density matrix for B immediately after the local measurement on A has been performed. Does the reduced density matrix of B change because of the local measurement on A? Is it possible for B to immediately know that such a local measurement was performed on A?

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