Error Correcting States in Ultracold Atoms

TL;DR

This paper presents a method to encode GKP error-correcting qubits in ultracold atoms within optical lattices, achieving 10 dB squeezing and enabling scalable quantum information processing.

Contribution

It introduces a novel protocol for generating GKP states in ultracold atoms using quantum optimal control and phase modulation, with practical experimental feasibility.

Findings

Achieved 10 dB squeezing in GKP states

Demonstrated encoding in vibrational levels of atoms

Proposed scalable protocol for atomic GKP arrays

Abstract

We demonstrate a method for encoding Gottesman-Kitaev-Preskill (GKP) error-correcting qubits with single ultracold atoms trapped in individual sites of a deep optical lattice. Using quantum optimal control protocols, we demonstrate the generation of GKP qubit states with 10 dB squeezing, which is the current minimum allowable squeezing level for use in surface code error correction. States are encoded in the vibrational levels of the individual lattice sites and generated via phase modulation of the lattice potential. Finally, we provide a feasible experimental protocol for the realization of these states. Our protocol opens up possibilities for generating large arrays of atomic GKP states for continuous-variable quantum information.