Three counterexamples refuting Kieu's plan for "quantum adiabatic hypercomputation"; and some uncomputable quantum mechanical tasks

نویسنده

  • Warren D. Smith
چکیده

Abstract — Tien D. Kieu, in 10 papers posted to the quant-ph section of the xxx.lanl.gov preprint archive [some of which were also published in printed journals such as Proc. Royal Soc. A 460 (2004) 1535] had claimed to have a scheme showing how, in principle, physical “quantum adiabatic systems” could be used to solve the prototypical computationally undecidable problem, Turing’s“halting problem,” in finite time, with success probability > 2/3 (where this 2/3 is independent of the input halting problem).

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عنوان ژورنال:
  • Applied Mathematics and Computation

دوره 178  شماره 

صفحات  -

تاریخ انتشار 2006