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I think what the article's really referencing is the Church-Turing thesis: http://en.wikipedia.org/wiki/Church%E2%80%93Turing_thesis

A lot of people conjecture that, if true, it implies that there exists no deterministic process which cannot be modeled by an algorithm.

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The article also references the probabilistic nature of quantum phenomena. However, quantum mechanics is deterministic under the Many-Worlds interpretation. Observations don't collapse waveforms, our quantum states are deterministically entangled with that of the system under measurement.

The jury is still out on the proper interpretation of quantum mechanics, but quantum phenomena doesn't rule out the deterministic state-change metaphor a priori.

It's been my impression that, MWI aside, quantum mechanics being probabilistic does not imply that the processes it models are probabilistic. The map is not the territory, and a map that is known to be incomplete is especially not the territory.

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