Global state preparation using local pure operations

•The probabilities of preparing states locally on subsystems are different.•Connections between maximal probabilities and local fidelities are studied.•Higher maximal probabilities correspond to higher local fidelities.

Several families of the pure states of a bipartite system were prepared using local pure operations. For these families, the difference in the maximal probabilities of successful preparations by Alice and Bob are shown to be related to the difference in the local fidelities of the reduced states.