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arXiv · 1612.01199

Gaussian Boson Sampling

Craig S. Hamilton·Regina Kruse·Linda Sansoni·Sonja Barkhofen·Christine Silberhorn·Igor Jex
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Abstract

Boson Sampling has emerged as a tool to explore the advantages of quantum over classical computers as it does not require a universal control over the quantum system, which favours current photonic experimental platforms.Here, we introduce Gaussian Boson Sampling, a classically hard-to-solve problem that uses squeezed states as a non-classical resource. We relate the probability to measure specific photon patterns from a general Gaussian state in the Fock basis to a matrix function called the hafnian, which answers the last remaining question of sampling from Gaussian states. Based on this result, we design Gaussian Boson Sampling, a #P hard problem, using squeezed states. This approach leads to a more efficient photonic boson sampler with significant advantages in generation probability and measurement time over currently existing protocols.

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Craig S. Hamilton, Regina Kruse, Linda Sansoni, Sonja Barkhofen, Christine Silberhorn, Igor Jex. 2017-04-20. Gaussian Boson Sampling. https://doi.org/10.1103/physrevlett.119.170501

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