Here's Alastair Rae's review of Deutsch's book "The Beginning of Infinity". Rae notes that the basis problem seems to bring back the Heisenberg cut problem in a different form.

He mentions Deutsch's idea which is popularly used to describe a quantum computer as being massively parallel.

/Deutsch's belief in the existence of the multiverse inspired his ground-breaking contributions to quantum computing, and he believes that a successful implementation of a quantum computer would constitute incontrovertible evidence for it. He argues that the reason a quantum computer can carry out some tasks very much faster than a classical one is because the former performs a large number of calculations simultaneously in parallel universes. However, I believe that this idea is also challenged by the preferred-basis problem.

/But Scott Aaronson points out that the way quantum algorithms work is that they arrange for wrong answers to destructively interfere while the desired answer interferes constructively. Interference requires that they take place in the same world. /

/Brent

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