Asymptotically Fault-Tolerant Programmable Photonics

Abstract

Component errors limit the scaling of programmable coherent photonic circuits. These errors arise because the standard tunable photonic coupler -- the Mach-Zehnder interferometer (MZI) -- cannot be perfectly programmed to the cross state. Here, we introduce two modified circuit architectures that overcome this limitation: (1) a 3-splitter MZI mesh for generic errors, and (2) a broadband MZI+Crossing design for correlated errors. Because these designs allow for perfect realization of the cross state, the matrix fidelity no longer decreases with mesh size, allowing scaling to arbitrarily large meshes. The proposed architectures support progressive self-configuration, are more compact than previous MZI-doubling schemes, and do not require additional phase shifters. This eliminates a major obstacle to the development of very-large-scale linear photonic circuits.

arXiv comment12 pages, 8 figures, 2 tables. SM: 9 pages, 9 figures, 3 tables

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• Low-depth, compact and error-tolerant photonic matrix-vector multiplication beyond the unitary group
• The Impact of Feature Representation on the Accuracy of Photonic Neural Networks
• Enhanced Hong-Ou-Mandel Manifolds and figures of merit for linear chains of identical micro-ring resonators
• Universal low-depth two-unitary design of programmable photonic circuits
• Calibration of cascaded phase shifters using pairwise scan method in silicon photonics integrated chip