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We relate gate fidelities of experimentally realized quantum operations tothe broadcasting property of their ideal operations, and show that the moreparties a given quantum operation can broadcast to, the higher gate fidelitiesof its experimental realization are in general. This is shown by establishingthe correspondence between two operational quantities, quantum stateshareability and quantum broadcasting. This suggests that, to assess anexperimental realization using gate fidelities, the worst case of realizationsuch as noisy operations should be taken into account and then compared toobtained gate fidelities. In addition, based on the correspondence, we alsotranslate results in quantum state shareability to their counterparts inquantum operations.

Gate Fidelities, Quantum Broadcasting, and Assessing Experimental Realization