Universal compressive tomography in the time-frequency domain

TL;DR

This paper introduces a universal compressive quantum state tomography method in the time-frequency domain, capable of reconstructing arbitrary low-rank optical signals efficiently without prior assumptions, demonstrated through experimental results.

Contribution

It presents a novel, flexible compressive tomography technique using a quantum pulse gate for efficient reconstruction of optical signals in the time-frequency domain.

Findings

Successful experimental reconstruction of temporal pulsed modes.

Effective reconstruction of frequency bin signals.

Versatile and universal optical reconstruction framework.

Abstract

We implement a compressive quantum state tomography capable of reconstructing any arbitrary low-rank spectral-temporal optical signal with extremely few measurement settings and without any \emph{ad hoc} assumptions about the initially unknown signal. This is carried out with a quantum pulse gate, a device that flexibly implements projections onto arbitrary user-specified optical modes. We present conclusive experimental results for both temporal pulsed modes and frequency bins, which showcase the versatility of our randomized compressive method and thereby introduce a universal optical reconstruction framework to these platforms.