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>how come that "the device will not know whether a match has been found"

Probably using some sort of probabilistic query like a bloom filter.



But the claim is that Apple does that "on device". To the best of my understanding, this would mean that both parties in the PSI protocol are "on the same device". Do they probably use some kind of TEE (Trusted Execution Environment) to evaluate the "other side" of the PSI protocol?




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