Quantum Forbidden-Interval Theorems for Stochastic Resonance

TL;DR

This paper extends classical stochastic resonance theorems to quantum systems, providing necessary and sufficient conditions for noise benefits in quantum communication and key distribution, supported by simulations.

Contribution

It introduces quantum forbidden-interval theorems that determine when stochastic resonance occurs in quantum communication models, generalizing classical results.

Findings

Noise benefits observed in quantum communication simulations

Theorems applicable to finite and infinite-variance quantum noise sources

Conditions for stochastic resonance in quantum systems established

Abstract

We extend the classical forbidden-interval theorems for a stochastic-resonance noise benefit in a nonlinear system to a quantum-optical communication model and a continuous-variable quantum key distribution model. Each quantum forbidden-interval theorem gives a necessary and sufficient condition that determines whether stochastic resonance occurs in quantum communication of classical messages. The quantum theorems apply to any quantum noise source that has finite variance or that comes from the family of infinite-variance alpha-stable probability densities. Simulations show the noise benefits for the basic quantum communication model and the continuous-variable quantum key distribution model.