Zeroing in on unbreakable computer security
tech.fortune.cnn.com
tech.fortune.cnn.com
References, which explain this much better than I did: http://www.vad1.com/lab/full-eavesdropping-2011/ http://www.nature.com/ncomms/journal/v2/n6/full/ncomms1348.h...
http://en.wikipedia.org/wiki/One-time_pad
As long as the key is securely shared between the two parties, this scheme provides perfect secrecy, and the proof of this is trivial (check the link).
The main issue (and the reason OTP is very rarely used) is the key distribution. Quantum communication can solve this however by providing a channel which can be proven (to an arbitrarily high probability) to have not been eavesdropped or intercepted. Sadly, this doesn't scale at all, but it does give us a perfectly secure scheme to build up from.
Basically, it is mathematically impossible for any encryption scheme to ever provide better data secrecy than the OTP, so I think calling it "perfectly secret" is perfectly alright :)
(a) These quantum links are physical cables that have to be laid between sites. If you lay your own normal cable rather than using the Internet, you probably won't be intercepted either. Or...
(b) While shuttling around massive XOR pads on hard drives is probably too annoying for most individuals, it's quite feasible for the kinds of organizations that could buy this stuff and a whole lot cheaper, unless they have enormous quantities of data to transfer; though the scheme can then be broken by passively copying the pad rather than continuously actively subverting the quantum link, I'm not sure this makes much difference in practice.