arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2408.09673physics.opticscs.ET
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迈向可编程光子学的信息论极限

Towards the Information-Theoretic Limit of Programmable Photonics

Ryan Hamerly, Jasvith Raj Basani, Alexander Sludds, Sri Krishna Vadlamani, Dirk Englund

AI总结:

针对可编程光子电路移相器需$2π$调谐范围限制可扩展性的问题,研究推导了多端口干涉仪相移效率的信息论极限,提出3-MZI架构逼近该极限,实现大幅相移降低,并验证其在低相移约束下的光学神经网络训练精度无损。

摘要:

许多可编程光子电路的可扩展性受限于其组成移相器所需的$2π$调谐范围。为解决这一问题,我们提出了相位高效电路架构的概念,其中平均相移远小于$2π$。我们推导了通用多端口干涉仪相移效率的通用信息论极限,并提出了一种“3-MZI”架构,该架构逼近该极限,误差在$2\times$以内,与现有技术相比平均相移降低约$10\times$,其平均相移与系统尺寸成反比,标度关系为$O(1/\boldsymbol{\sqrt{N}})$。对于非幺正电路,我们证明3-MZI架构达到了高斯分布目标矩阵的理论界。利用该架构,我们展示了在所有移相器均被约束在$\lesssim 0.2$弧度的情况下,光学神经网络的训练不会损失精度。

英文摘要:

The scalability of many programmable photonic circuits is limited by the $2π$ tuning range needed for the constituent phase shifters. To address this problem, we introduce the concept of a phase-efficient circuit architecture, where the average phase shift is $\ll 2π$. We derive a universal information-theoretic limit to the phase-shift efficiency of universal multiport interferometers, and propose a "3-MZI" architecture that approaches this limit to within a factor of $2\times$, approximately a $10\times$ reduction in average phase shift over the prior art, where the average phase shift scales inversely with system size as $O(1/\sqrt{N})$. For non-unitary circuits, we show that the 3-MZI saturates the theoretical bound for Gaussian-distributed target matrices. Using this architecture, we show optical neural network training with all phase shifters constrained to $\lesssim 0.2$ radians without loss of accuracy.

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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