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arXiv 2109.12436quant-phphysics.optics
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液晶中偏振转移的双向深度学习及其在量子态制备中的应用

Bidirectional deep learning of polarization transfer in liquid crystals with application to quantum state preparation

Dominik Vašinka, Martin Bielak, Michal Neset, Miroslav Ježek

摘要:

光偏振的精确控制代表了偏振计量、成像以及光学和量子通信中的核心构建块。电压控制的液晶提供了一种有效的偏振转换方式。然而,普通的扭曲双折射液晶因缺乏将控制电压和输出极化联系起来的精确理论模型而臭名昭著。预测准备目标极化所需的控制电压的逆模型甚至更具挑战性。在这里,我们报告了基于深度神经网络,径向基函数和线性插值的直接和逆模型。提出了一种逆-正复合模型,解决了控制电压模糊问题。与径向基函数方法相比,使用深度学习的准确性提高了一个数量级,与线性插值相比提高了两个数量级。随着训练数据数量的增加,深度神经网络模型的误差也比其他方法下降得更快。最佳的正、逆模型分别达到了$4 \times 10^{-4}$和$2 \times 10^{-4}$的平均不确定度,这是目前尚未报道的精度水平。此外,我们使用深度学习模型演示了任意单光子偏振态的本地和远程准备。这一结果将影响扭曲液晶液晶的应用,全面提高其控制精度。所提出的双向学习方法可用于复杂光子器件和量子线路的最优经典控制。

英文摘要:

Accurate control of light polarization represents a core building block in polarization metrology, imaging, and optical and quantum communications. Voltage-controlled liquid crystals offer an efficient way of polarization transformation. However, common twisted nematic liquid crystals are notorious for lacking an accurate theoretical model linking control voltages and output polarization. An inverse model, which would predict control voltages required to prepare a target polarization, is even more challenging. Here we report both the direct and inverse models based on deep neural networks, radial basis functions, and linear interpolation. We present an inverse-direct compound model solving the problem of control voltages ambiguity. We demonstrate one order of magnitude improvement in accuracy using deep learning compared to the radial basis function method and two orders of magnitude improvement compared to the linear interpolation. Errors of the deep neural network model also decrease faster than the other methods with an increasing number of training data. The best direct and inverse models reach the average infidelities of $4 \times 10^{-4}$ and $2 \times 10^{-4}$, respectively, which is the accuracy level not reported yet. Furthermore, we demonstrate local and remote preparation of an arbitrary single-photon polarization state using the deep learning models. The results will impact the application of twisted-nematic liquid crystals, increasing their control accuracy across the board. The presented bidirectional learning can be used for optimal classical control of complex photonic devices and quantum circuits beyond interpolation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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