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arXiv · 1410.8547

A Statistical Benchmark for BosonSampling

Mattia Walschaers·Jack Kuipers·Juan-Diego Urbina·Klaus Mayer·Malte C. Tichy·Klaus Richter·Andreas Buchleitner
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Abstract

Computing the state of a quantum mechanical many-body system composed of indistinguishable particles distributed over a multitude of modes is one of the paradigmatic test cases of computational complexity theory: Beyond well-understood quantum statistical effects, the coherent superposition of many-particle amplitudes rapidly overburdens classical computing devices - essentially by creating extremely complicated interference patterns, which also challenge experimental resolution. With the advent of controlled many-particle interference experiments, optical set-ups that can efficiently probe many-boson wave functions - baptised BosonSamplers - have therefore been proposed as efficient quantum simulators which outperform any classical computing device, and thereby challenge the extended Church-Turing thesis, one of the fundamental dogmas of computer science. However, as in all experimental quantum simulations of truly complex systems, there remains one crucial problem: How to certify that a given experimental measurement record is an unambiguous result of sampling bosons rather than fermions or distinguishable particles, or of uncontrolled noise? In this contribution, we describe a statistical signature of many-body quantum interference, which can be used as an experimental (and classically computable) benchmark for BosonSampling.

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Mattia Walschaers, Jack Kuipers, Juan-Diego Urbina, Klaus Mayer, Malte C. Tichy, Klaus Richter, Andreas Buchleitner. 2014-10-30. A Statistical Benchmark for BosonSampling. https://doi.org/10.1088/1367-2630%2F18%2F3%2F032001

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