Can Classical Noise Enhance Quantum Transmission?

TL;DR

This paper demonstrates that classical noise can improve quantum teleportation fidelity under certain conditions, extending classical stochastic resonance concepts to quantum communication protocols.

Contribution

It introduces a modified teleportation protocol and forbidden-interval theorems showing how classical noise enhances quantum fidelity, a novel intersection of classical stochastic resonance and quantum communication.

Findings

Classical noise can enhance quantum teleportation fidelity.

Optimal noise levels improve performance with weak signals and high detection thresholds.

Both finite-variance and infinite-variance noise types benefit quantum fidelity.

Abstract

A modified quantum teleportation protocol broadens the scope of the classical forbidden-interval theorems for stochastic resonance. The fidelity measures performance of quantum communication. The sender encodes the two classical bits for quantum teleportation as weak bipolar subthreshold signals and sends them over a noisy classical channel. Two forbidden-interval theorems provide a necessary and sufficient condition for the occurrence of the nonmonotone stochastic resonance effect in the fidelity of quantum teleportation. The condition is that the noise mean must fall outside a forbidden interval related to the detection threshold and signal value. An optimal amount of classical noise benefits quantum communication when the sender transmits weak signals, the receiver detects with a high threshold, and the noise mean lies outside the forbidden interval. Theorems and simulations demonstrate that both finite-variance and infinite-variance noise benefit the fidelity of quantum teleportation.