
I think quantum encryption of this variety could have an incredible practical application: true democracy. The internet has continued to make the world a smaller place, a trend I feel is only going to continue. One of the things relevant to this is that we can cut out the middleman. Geographically scattered groups can get together and form a single lobbying group as it is, for instance the huge Ron Paul fundraiser sites.
We can take this to the next level and actually be able to vote from home, on everything, eliminating the need for a representative democracy by instituting the purest form. Government would need some fundamental changes (namely expressly limiting the powers of each level of government, with the local town or county having the greatest power) but it could function as a real democracy.
Two is not equal to three, even for large values of two.