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Photonic quantum algorithm for Monte Carlo integration

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arxiv 1809.02579 v1 pith:67UOHTZZ submitted 2018-09-07 quant-ph

Photonic quantum algorithm for Monte Carlo integration

classification quant-ph
keywords algorithmcarlomontecontinuous-variableintegrationphotonicquantumspeedup
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We present a continuous-variable photonic quantum algorithm for the Monte Carlo evaluation of multi-dimensional integrals. Our algorithm encodes n-dimensional integration into n+3 modes and can provide a quadratic speedup in runtime compared to the classical Monte Carlo approach. The speedup is achieved by developing a continuous-variable adaptation of amplitude estimation. We provide an error analysis for each element of the algorithm and account for the effects of finite squeezing. Our findings show that Monte Carlo integration is a natural use case for algorithms using the continuous-variable setting.

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