BosonSampling is robust against small errors in the network matrix
BosonSampling is robust against small errors in the network matrix
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DOI：
10.1103/physreva.92.062326
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发表时间：
2015-12-14
影响因子：
2.9
通讯作者：
Arkhipov, Alex
中科院分区：
文献类型：
--
作者：
Arkhipov, Alex
我们证明了BosonSampling对线性光网络中的缺陷的鲁棒性，这些缺陷导致它实现的矩阵中的小偏差。我们表明，应用一个噪声矩阵（U）在波浪线内是所需的矩阵U的一个元素，在运营商的范数导致输出分布是一个元素内的n所需的分布在变化距离，其中n是光子的数量。这使我们能够推导出网络中分束器和移相器的足够容差。该结果仅涉及由网络编码不同于期望的酉单位而不是由其他噪声源（诸如光子损失和部分可重复性）引起的误差。
We demonstrate the robustness of BosonSampling against imperfections in the linear optical network that cause a small deviation in the matrix it implements. We show that applying a noisy matrix (U) over tilde that is within is an element of of the desired matrix U in operator norm leads to an output distribution that is within is an element of n of the desired distribution in variation distance, where n is the number of photons. This lets us derive a sufficient tolerance for beam splitters and phase shifters in the network. This result only concerns errors that result from the network encoding a different unitary than desired and not from other sources of noise such as photon loss and partial distinguishability.