How to surpass no-go limits in Gaussian quantum error correction and entangled Gaussian state distillation?

TL;DR

This paper presents a novel Gaussian quantum error correction protocol that overcomes traditional no-go limitations by utilizing local Gaussian resources and CV gate teleportation, enabling improved quantum communication.

Contribution

It introduces a Gaussian QEC scheme based solely on local Gaussian resources, leveraging CV gate teleportation to implement partial transpose operations and enhance state distillation.

Findings

Enables construction of noise-polarized channels from noisy Gaussian channels

Overcomes no-go limits in Gaussian QEC and state distillation

Extends to nonlocal Gaussian state distillation

Abstract

Gaussian quantum information processing with continuous-variable (CV) quantum information carriers holds significant promise for applications in quantum communication and quantum internet. However, applying Gaussian state distillation and quantum error correction (QEC) faces limitations imposed by no-go results concerning local Gaussian unitary operations and classical communications. This paper introduces a Gaussian QEC protocol that relies solely on local Gaussian resources. A pivotal component of our approach is CV gate teleportation using entangled Gaussian states, which facilitates the implementation of the partial transpose operation on a quantum channel. Consequently, we can efficiently construct a two-mode noise-polarized channel from two noisy Gaussian channels. Furthermore, this QEC protocol naturally extends to a nonlocal Gaussian state distillation protocol.