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Technically, fully homomorphic encryption exists (and may someday be practical)

• kevinwang 8y ago
  But still, you could have a centralized service that involves client-side (potentially homomorphic) encryption and stores (and in the case of homomorphic encryption, does operations with) the data on their servers. So that shouldn't give a privacy benefit from blockchain over centralized servers.
  • zodiac 8y ago
    You would get a privacy benefit in the sense that the computation provider would not learn anything about the data you gave them. However you are right that centralized computation providers are equally constrained (ie don't learn anything) as blockchains in this regard.