论文标题
最小光学深度多端子干涉仪，用于近似任意单一操作和纯状态
Minimum optical depth multiport interferometers for approximating arbitrary unitary operations and pure states
论文作者
论文摘要
可以实施任意单位操作的可重构设备对于光子量子计算，光学神经网络和玻色子采样至关重要。在这里，我们解决了使用多端口干涉仪的问题，与给定的不忠近似任何纯状态准备和任何统一操作近似。通过数值计算，我们表明，在任何维度$ d $中，纯状态都可以使用不忠$ \ le 10^{ - 15} $准备，而三层为$ d $ d $尺寸傅立叶变换和三层可配置的相位变速器。我们还提供了数值证据，表明$ d+1 $ layers $ d $二维傅立叶变换和$ d+2 $ 2 $可配置的相位变速器可以生产任何具有不忠$ \ le 10^{ - 14} $的单一操作。结论是通过数值模拟在$ d = 3 $到$ d = 10 $的范围内实现的。鉴于最近多核算纤维集成的多托干涉仪的可用性，这些结果很有趣。
Reconfigurable devices which can implement arbitrary unitary operations are crucial for photonic quantum computation, optical neural networks, and boson sampling. Here, we address the problem of, using multiport interferometers, approximating with a given infidelity any pure state preparation and any unitary operation. By means of numerical calculations, we show that pure states, in any dimension $d$, can be prepared with infidelity $\le 10^{-15}$ with three layers of $d$ dimensional Fourier transforms and three layers of configurable phase shifters. We also present numerical evidence that $d+1$ layers of $d$-dimensional Fourier transforms and $d+2$ layers of configurable phase shifters can produce any unitary operation with infidelity $\le 10^{-14}$. The conclusions are achieved by numerical simulations in the range from $d = 3$ to $d=10$. These results are interesting in light of the recent availability of multicore fiber-integrated multiport interferometers.
