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arXiv · 1705.06041

Exact Boson Sampling using Gaussian continuous variable measurements

A. P. Lund·S. Rahimi-Keshari·T. C. Ralph
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Abstract

BosonSampling 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 believe to be highly implausible. We present method for constructing a device which uses Fock state preparations, linear interactions and Gaussian continuous-variable measurements for which one can show exact sampling would be hard for a classical algorithm in the same way as Boson Sampling. The detection events used from this arrangement does not allow a similar conclusion for the classical hardness of approximate sampling to be drawn. We discuss the details of this result outlining some specific properties that approximate sampling hardness requires.

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A. P. Lund, S. Rahimi-Keshari, T. C. Ralph. 2017-06-29. Exact Boson Sampling using Gaussian continuous variable measurements. https://doi.org/10.1103/physreva.96.022301

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