Will boson-sampling ever disprove the Extended Church-Turing thesis?
Abstract
Boson-sampling is a highly simplified, but non-universal, approach to implementing optical quantum computation. It was shown by Aaronson and Arkhipov that this protocol cannot be efficiently classically simulated unless the polynomial hierarchy collapses, which would be a shocking result in computational complexity theory. Based on this, numerous authors have made the claim that experimental boson-sampling would provide evidence against, or disprove, the Extended Church-Turing thesis -- that any physically realisable system can be efficiently simulated on a Turing machine. We argue against this claim on the basis that, under a general, physically realistic independent error model, boson-sampling does not implement a provably hard computational problem in the asymptotic limit of large systems.
Cite
@article{arxiv.1401.2199,
title = {Will boson-sampling ever disprove the Extended Church-Turing thesis?},
author = {Peter P. Rohde and Keith R. Motes and Paul A. Knott and William J. Munro},
journal= {arXiv preprint arXiv:1401.2199},
year = {2014}
}
Comments
3 pages, 0 figures; added references and separated a some references into separate categories