English

Will boson-sampling ever disprove the Extended Church-Turing thesis?

Quantum Physics 2014-05-27 v3

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

R2 v1 2026-06-22T02:42:33.837Z