Hybrid spatiotemporal architectures for universal linear optics

Abstract

We present two hybrid linear-optical architectures that simultaneously exploit spatial and temporal degrees of freedom of light to effect arbitrary discrete unitary transformations. Our architectures combine the benefits of spatial implementations of linear optics, namely low loss and parallel operation, with those of temporal implementations, namely modest resource requirements and access to transformations of potentially unbounded size. We arrive at our architectures by devising and employing decompositions of large discrete unitary transformations into smaller ones, decompositions we expect to have broad utility beyond spatio-temporal linear optics. We show that hybrid architectures promise important advantages over both spatial-only and temporal-only architectures.

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Cited by in corpus (13)

• Perspective: Toward large-scale fault-tolerant universal photonic quantum computing
• Exact and approximate continuous-variable gate decompositions
• Quantum receiver for phase-shift keying at the single photon level
• Higher-dimensional Hong-Ou-Mandel effect and state redistribution with linear-optical multiports
• Efficient construction of tensor-network representations of many-body Gaussian states
• Mitigating linear optics imperfections via port allocation and compilation
• Optimized architectures for universal quantum state transformations using photonic path and polarization
• Time-domain programmable beam-splitter operations for an optical phase-sensitive non-Gaussian state
• Compactifying linear optical unitaries using multiport beamsplitters
• Optimal modular architectures for universal linear optics
• Resource-efficient universal photonic processor based on time-multiplexed hybrid architectures
• Circumventing defective components in linear optical interferometers
• Emergence of biased errors in imperfect photonic circuits