Auto-calibrating Universal Programmable Photonic Circuits: Hardware Error-Correction and Defect Resilience

Abstract

It is recently shown that discrete $N\times N$ linear unitary operators can be represented by interlacing $N+1$ phase shift layers with a fixed intervening operator such as Discrete Fractional Fourier Transform (DFrFT). Here, we show that introducing perturbations to the intervening operations does not compromise the universality of this architecture. Furthermore, we show that this architecture is resilient to defects in the phase shifters as long as no more than one faulty phase shifter is present in each layer. These properties enable post-fabrication auto-calibration of such universal photonic circuits, effectively compensating for fabrication errors and defects in phase components.

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• Learning Arbitrary Complex Matrices by Interlacing Amplitude and Phase Masks with Fixed Unitary Operations
• Integrated Photonic Programmable Random Matrix Generator with Minimal Active Components
• Near-optimal decomposition of unitary matrices using phase masks and the discrete Fourier transform
• Photonic Matrix Multiplier Makes a Direction-Finding Sensor
• Programmable Space-Frequency Linear Transformations in Photonic Interlacing Architectures
• Embedding Matrices in Programmable Photonic Networks with Flexible Depth and Width
• Sub-quadratic scalable approximate linear converter using multi-plane light conversion with low-entropy mode mixers