Channel purification via continuous-variable quantum teleportation with Gaussian post-selection

TL;DR

This paper introduces a protocol combining continuous-variable quantum teleportation and Gaussian post-selection to correct errors from lossy channels, enabling near-identity transmission and purification of non-Gaussian states with only Gaussian operations.

Contribution

The paper proposes a novel error correction protocol that effectively reduces loss and noise in quantum channels using Gaussian post-selection, advancing quantum communication techniques.

Findings

Equivalent to a noiseless amplification or attenuation

Can achieve near-identity channel with minimal thermal noise

Enables probabilistic purification of non-Gaussian states

Abstract

We present a protocol based on continuous-variable quantum teleportation and Gaussian post- selection that can be used to correct errors introduced by a lossy channel. We first show that the global transformation enacted by the protocol is equivalent to an effective system composed of a noiseless amplification (or attenuation), and an effective quantum channel, which can in theory have no loss and an amount of thermal noise arbitrarily small, hence tending to an identity channel. An application of our protocol is the probabilistic purification of quantum non-Gaussian states using only Gaussian operations.