High Dimensional Unitary Transformations and Boson Sampling on Temporal Modes using Dispersive Optics

Abstract

We present methods which allow orders of magnitude increase in the number of modes in linear optics experiments by moving from spatial encoding to temporal encoding and using dispersion. This enables significant practical advantages for linear quantum optics and Boson Sampling experiments. Passing consecutively heralded photons through time-independent dispersion and measuring the output time of the photons is equivalent to a Boson Sampling experiment for which no efficient classical algorithm is reported, to our knowledge. With time-dependent dispersion, it is possible to implement arbitrary single-particle unitaries. Given the relatively simple requirements of these schemes, they provide a path to realizing much larger linear quantum optics experiments including post-classical Boson Sampling machines.

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• Engineering temporal-mode-selective frequency conversion in off-the-shelf nonlinear optical waveguides: From theory to experiment
• Interference of Temporally Distinguishable Photons Using Frequency-Resolved Detection
• Temporal mode transformations by sequential time and frequency phase modulation for applications in quantum information science
• Multi-photon interference in the spectral domain by direct heralding of superposition states
• Interferometric sorting of temporal Hermite-Gauss modes via temporal Gouy phase
• High performance Boson Sampling simulation via data-flow engines
• Polynomial speedup in Torontonian calculation by a scalable recursive algorithm