Optimal design of error-tolerant reprogrammable multiport interferometers

Abstract

Photonic information processing demands programmable multiport interferometers capable of implementing arbitrary transfer matrices, for which planar meshes of error-sensitive Mach-Zehnder interferometers are usually exploited. We propose an alternative design that uses a single static beam-splitter and a variable phase shift as the building block. The design possesses superior resilience to manufacturing errors and losses without extra elements added into the scheme. Namely, the power transmissivities of the static BSs can take arbitrary values in the range from $\approx 1/2$ to $\approx 4/5$. We show that the fraction of transfer matrices non-implementable by the interferometers of our design diminishes rapidly with their size.

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• Waveguide lattice based architecture for multichannel optical transformations
• Braided interferometer mesh for robust photonic matrix-vector multiplications with non-ideal components
• Fast reconstruction of programmable integrated interferometers
• Near-optimal decomposition of unitary matrices using phase masks and the discrete Fourier transform
• Low-depth, compact and error-tolerant photonic matrix-vector multiplication beyond the unitary group
• Fast reconstruction of programmable interferometers with intensity-only measurements
• Compactifying linear optical unitaries using multiport beamsplitters
• Effective programming of a photonic processor with complex interferometric structure
• Photonic Matrix Multiplication Circuit Based on Double Racetrack Resonator Building Blocks
• Universal low-depth two-unitary design of programmable photonic circuits
• Emergence of biased errors in imperfect photonic circuits