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arXiv · 1412.2516

Boson Sampling is Robust to Small Errors in the Network Matrix

Alex Arkhipov
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Abstract

We demonstrate the robustness of BosonSampling to imperfections in the linear optical network that cause a small deviation in the matrix it implements. We show that applying a noisy matrix $\tilde{U}$ that is within $ε$ of the desired matrix $U$ in operator norm leads to an output distribution that is within $εn$ of the desired distribution in variation distance, where $n$ is the number of photons. This lets us derive a sufficient tolerance each beamsplitters and phaseshifters in the network. This result considers only errors that result from the network encoding a different unitary than desired, and not other sources of noise such as photon loss and partial distinguishability.

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Alex Arkhipov. 2014-12-08. Boson Sampling is Robust to Small Errors in the Network Matrix. https://doi.org/10.1103/physreva.92.062326

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