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We derive analytical formula for the optimal trade-off between the meanestimation fidelity and the mean fidelity of the qubit state after a partialmeasurement on N identically prepared qubits. We also conjecture analyticalexpression for the optimal fidelity trade-off in case of a partial measurementon N identical copies of a d-level system.Comment: 5 pages, 2 figures, RevTeX

Optimal partial estimation of quantum states from several copies