Entanglement-Assisted Quantum Error Correction with Linear Optics

TL;DR

This paper develops a theory for continuous-variable entanglement-assisted quantum error correction, demonstrating an example code and practical implementation methods using linear optical components and measurements.

Contribution

It introduces a novel framework for continuous-variable entanglement-assisted quantum error correction and provides an implementable encoding scheme with linear optics.

Findings

Designed a continuous-variable entanglement-assisted code correcting single-mode errors

Proposed implementation using passive optical devices and measurements

Showed feasibility of encoding circuits with current optical technology

Abstract

We construct a theory of continuous-variable entanglement-assisted quantum error correction. We present an example of a continuous-variable entanglement-assisted code that corrects for an arbitrary single-mode error. We also show how to implement encoding circuits using passive optical devices, homodyne measurements, feedforward classical communication, conditional displacements, and off-line squeezers.