光学分数傅立叶变换在时频域中的实验实现 Experimental implementation of the optical fractional Fourier transform in the time-frequency domain

作者:Bartosz Niewelt Marcin Jastrzębski Stanisław Kurzyna Jan Nowosielski Wojciech Wasilewski Mateusz Mazelanik Michał Parniak

分数傅立叶变换(FrFT)是物理学中的一种基本运算,对应于相位空间旋转任何角度,也是数字信号处理中用于降噪的不可或缺的工具。光信号的时频自由度处理绕过了数字化步骤,为增强量子和经典通信、传感和计算中的许多协议提供了机会。在这封信中,我们介绍了使用具有处理能力的原子量子光学存储系统在时频域中实现分数傅立叶变换的实验。我们的方案通过施加可编程的交错频谱和时间相位来执行操作。我们已经通过分析通过散粒噪声限制零差检测器测量的时循环Wigner函数来验证FrFT。我们的结果对实现时间模式排序、处理和超分辨参数估计具有前景。

The fractional Fourier transform (FrFT), a fundamental operation in physics that corresponds to a rotation of phase space by any angle, is also an indispensable tool employed in digital signal processing for noise reduction. Processing of optical signals in their time-frequency degree of freedom bypasses the digitization step and presents an opportunity to enhance many protocols in quantum and classical communication, sensing and computing. In this letter, we present the experimental realization of the fractional Fourier transform in the time-frequency domain using an atomic quantum-optical memory system with processing capabilities. Our scheme performs the operation by imposing programmable interleaved spectral and temporal phases. We have verified the FrFT by analyses of chroncyclic Wigner functions measured via a shot-noise limited homodyne detector. Our results hold prospects for achieving temporal-mode sorting, processing and super-resolved parameter estimation.

论文链接:http://arxiv.org/pdf/2303.13305v1

更多计算机论文:http://cspaper.cn/

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