Why do we have to solve it? In his latest book, he states that he calculates you can get the thermal noise down to 1/10 the diameter of a carbon atom or less if you use stiff enough components.

Furthermore, you can solve it empirically. Just build a piece of machinery that tries to accomplish a given task, and measure it's success rate. Systematically tweak the design and measure the performance of each variant. Eventually, you find a design that meets spec. That's how chemists do it today, actually.

Edit : to the -1, here's a link where a certain chemist that many know is doing exactly this : http://pipeline.corante.com/archives/2013/06/27/sealed_up_and_ready_to_go.php