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Paper   IPM / Physic / 14950
School of Physics
  Title:   Exact boson sampling using Gaussian continuous-variable measurements
1.  A. P. Lund
2.  S. Rahimi-Keshari
3.  T. C. Ralph
  Status:   Published
  Journal: Phys. Rev. A
  Vol.:  96
  Year:  2017
  Pages:   022301
  Supported by:  IPM
Boson sampling is a quantum mechanical task involving Fock basis state preparation and detection and evolution using only linear interactions. A classical algorithm for producing samples from this quantum task cannot be efficient unless the polynomial hierarchy of complexity classes collapses, a situation believed to be highly implausible. We present a method for constructing a device which uses Fock state preparations, linear interactions, and Gaussian continuous-variable measurements for which one can show that exact sampling would be hard for a classical algorithm in the same way as boson sampling. The detection events used from this arrangement do not allow a similar conclusion to be drawn for the classical hardness of approximate sampling. We discuss the details of this result outlining some specific properties required by approximate sampling hardness.

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