Wrong sense of library. Not that I think libraries will dissappear, I'm certain some will fail to evolve, but given our current push towards the importance of idea ownership (especially as 3D printing comes about) libraries will find their technological footing again.

Tech can only go so small (and fast) before we reach the limits of its ability. Doesn't matter if we're talking about transitors at the atomic level (Intel has predicted that end coming by 2018), quantum or DNA computing. They each have theoretical limits. The best you could hope for is a technological singularity (true end of libraries). Which again would put us outside the Information Era.