# Generation of time-frequency grid state with integrated biphoton frequency combs

## TL;DR

This paper demonstrates how to encode quantum information in the time-frequency degrees of freedom of photon pairs, using integrated sources and proposing error correction schemes for continuous variable quantum computing.

## Contribution

It presents an experimental implementation of time-frequency qubit encoding with integrated photon sources and introduces error correction methods for this encoding.

## Key findings

- Successful experimental demonstration of time-frequency qubit encoding
- Implementation of single qubit gates in the time-frequency domain
- Proposed error correction schemes for continuous variable quantum information

## Abstract

Encoding quantum information in continuous variables is intrinsically faulty. Nevertheless, redundant qubits can be used for error correction, as proposed by Gottesman, Kitaev and Preskill in Phys. Rev. A \textbf{64} 012310, (2001). We show how to experimentally implement this encoding using time-frequency continuous degrees of freedom of photon pairs produced by spontaneous parametric down conversion. We experimentally illustrate our results using an integrated AlGaAs photon pairs source. We show how single qubit gates can be implemented and finally propose a theoretical scheme for correcting errors in a circuit-like and in a measurement-based architecture.