Photonic Boson Sampling in a Tunable Circuit
Matthew A. Broome, Alessandro Fedrizzi, Saleh Rahimi-Keshari, Justin, Dove, Scott Aaronson, Timothy Ralph, and Andrew G. White

TL;DR
This paper experimentally verifies the core principle of BosonSampling using a tunable 6-mode optical circuit with 3 photons, demonstrating robustness despite experimental imperfections, and highlighting its potential to challenge classical computational limits.
Contribution
It provides the first experimental verification of BosonSampling amplitudes using a tunable integrated optical circuit with three photons, supporting its feasibility for demonstrating quantum advantage.
Findings
Verified that 3-photon scattering amplitudes match matrix permanents
Demonstrated robustness against photon loss and detection imperfections
Supported the potential of BosonSampling to challenge classical computation
Abstract
Quantum computers are unnecessary for exponentially-efficient computation or simulation if the Extended Church-Turing thesis---a foundational tenet of computer science---is correct. The thesis would be directly contradicted by a physical device that efficiently performs a task believed to be intractable for classical computers. Such a task is BosonSampling: obtaining a distribution of n bosons scattered by some linear-optical unitary process. Here we test the central premise of BosonSampling, experimentally verifying that the amplitudes of 3-photon scattering processes are given by the permanents of submatrices generated from a unitary describing a 6-mode integrated optical circuit. We find the protocol to be robust, working even with the unavoidable effects of photon loss, non-ideal sources, and imperfect detection. Strong evidence against the Extended Church-Turing thesis will come…
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