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Are there any working cloud/internet solutions/products that operates on encrypted data such as systems using homomorphic encryption, secure multiparty computation, electronic voting, private information retrieval?

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What exactly are you looking for? Commercial or open source platforms that perform MPC? Applications? Something else? –  Thomas M. DuBuisson yesterday
List questions are often closed as off-topic here. There have been some exceptions. I'll let the community decide on this one. –  mikeazo yesterday

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Making this CW so that others can edit and add additional information more freely. –  mikeazo yesterday

There is an auction system used every year by Danish sugar beet farmers to trade production rights. This system uses secure multiparty computation to keep the bids secret so that only the result of the auction is revealed. The system is described here https://eprint.iacr.org/2008/068

As far as I know it is the first real-world use of MPC.

The company Partisia spun off this project. They have done some other auction stuff, some of it with MPC.

The Estonian company Cybernetica (behind sharemind) also does some applications. In fact I think they have one of the coolest applications of MPC I have heard of: securely computing satellite collision. I am not sure if that system is in active use though. http://mpclounge.wordpress.com/2013/04/09/using-secure-computation-to-avoid-satellite-collisions/

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