Zvika Brakerski

Is it possible to perform operations on encrypted data, while keeping it secure from all prying eyes (or circuits), even if that data is stored remotely, in the "cloud?" Will our end result still be encrypted, and when we decode it with our private decryption key, will our result be correct? To put it another way, could we allow sensitive data - say private medical information - to be monitored on-line and feel completely secure in the knowledge that no one can access it without our express permission? Can we use a cloud service to store our encrypted data and perform a search on that data…