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A Statistical Benchmark for BosonSampling | | Mattia Walschaers
; Jack Kuipers
; Juan-Diego Urbina
; Klaus Mayer
; Malte C. Tichy
; Klaus Richter
; Andreas Buchleitner
; | | Date: |
30 Oct 2014 | | 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. | | Source: | arXiv, 1410.8547 | | Services: | Forum | Review | PDF | Favorites | |
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