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n0xew , (edited )

Actually, to make it with cryptographic guarantees is pretty hard... I know of at least one university professor in the PET (Privacy Enhancing Technologies)/cryptography space who spent quite some time on his startup to develop such a search engine. In the end it all fell apart because of one the mathematical assumptions being unprovable.
This is just one example but I guess it illustrates pretty well why we've yet to see a cryptographically secure/private search engine as a product!

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