As far as my research goes, we can make a secure system fairly easily which solves 1 and 2, but not 3. Getting all three may even be an impossibility theorem w

As far as my research goes, we can make a secure system fairly easily which solves 1 and 2, but not 3. Getting all three may even be an impossibility theorem without physical control of the data (e.g. paper ballots). The cryptographic solutions are very new though, and there may be a breakthrough I haven't heard of yet. Still hopeful