Kieu believes he has solved both problems. With quantum mechanics, he says he can use a "quantum algorithm" to search through an infinite number of potential solutions to Hilbert's proposed equation and perform the search in a finite period of time. In other words, he can look at every possible solution and be done before dinner!
In parallel universes, in constant time! Who can ask for more?
Once again, Perl is a harbinger of worlds to come!