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

TL;DR

This paper introduces methods to significantly increase the number of modes in linear optics experiments by using temporal encoding and dispersion, enabling larger Boson Sampling experiments with practical advantages.

Contribution

It presents novel techniques for implementing high-dimensional unitary transformations and Boson Sampling using dispersive optics and temporal modes, expanding experimental capabilities.

Findings

Order of magnitude increase in modes using temporal encoding

Equivalent Boson Sampling experiments with no known efficient classical algorithms

Implementation of arbitrary single-particle unitaries with time-dependent dispersion

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.