Strategies for implementing quantum error correction in molecular rotation

TL;DR

This paper proposes practical strategies for implementing quantum error correction codes in molecular rotational states, enabling robust quantum information processing with molecules.

Contribution

It introduces an implementation approach for absorption-emission quantum error correction codes in molecular rotations using existing quantum logic spectroscopy tools.

Findings

Constructed architecture-agnostic check and correction operators.

Decomposed operators into quantum logic spectroscopy elements.

Analyzed measurement-based and autonomous implementation strategies under thermal noise.

Abstract

The rotation of trapped molecules offers a promising platform for quantum technologies and quantum information processing. In parallel, quantum error correction codes that can protect quantum information encoded in rotational states of a single molecule have been developed. These codes are currently an abstract concept, as no implementation strategy is yet known. Here, we present a step towards experimental implementation of one family of such codes, namely absorption-emission codes. We first construct architecture-agnostic check and correction operators. These operators are then decomposed into elements of the quantum logic spectroscopy toolbox that is available for molecular ions. We then describe and analyze a measurement-based sequential as well as an autonomous implementation strategy in the presence of thermal background radiation, a major noise source for rotation in polar molecules. The presented strategies and methods might enable robust sensing or even fault-tolerant quantum computing using the rotation of individual molecules.