Continuous Variable Quantum Repeaters

TL;DR

This paper introduces a quantum repeater for continuous variable optical states that uses error correction, teleportation, and entanglement distillation to extend quantum communication distances with polynomial success probability.

Contribution

It presents a novel CV quantum repeater protocol combining error correction, teleportation, and noiseless amplification, maintaining transmission quality over longer distances.

Findings

Success probability scales polynomially with distance

Trade-off between fidelity and success probability

Protocol preserves effective transmission coefficient

Abstract

We propose a quantum repeater for continuous variable (CV) quantum optical states. Our repeater relies on an error correction protocol for loss on CV states based on CV teleportation and entanglement distillation via noiseless linear amplification. The error correction protocol is concatenated to preserve the same effective transmission coefficient for the quantum channel over increasing distance. The probability of successful operation of the repeater scales polynomially with distance. However, the protocol is limited by a trade-off between fidelity and probability of success.