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Quantum nonlocality has different manifestations that, in general, arerevealed by local measurements of the parts of a composite system. In thispaper, we study nonlocality arising from a set of orthogonal states that cannotbe perfectly distinguished by local operations and classical communication(LOCC). Such a set is deemed nonlocal, for a joint measurement on the wholesystem is necessary for perfect discrimination of the states with certainty. Onthe other hand, a set of orthogonal states that can be perfectly distinguishedby LOCC is believed to be devoid of nonlocal properties. Here, we show thatthere exist orthogonal sets that are locally distinguishable but without localredundancy (i.e., they become nonorthogonal on discarding one or moresubsystems) whose nonlocality can be activated by local measurements. Inparticular, a state chosen from such a set can be locally converted, withcertainty, into another state, the identity of which can now only beascertained by global measurement and no longer by LOCC. In other words, alocally distinguishable set without local redundancy may be locally convertedinto a locally indistinguishable set with certainty. We also suggest anapplication, namely, local hiding of information, that allows us to locallyhide locally available information without losing any part. Once hidden, theinformation in its entirety can only be retrieved using entanglement.

Genuine activation of nonlocality: From locally available to locally hidden information