On the Capacity Advantage of a Single Bit

TL;DR

This paper demonstrates that adding a single bit of communication to a memoryless network can strictly increase its capacity region, highlighting a significant capacity advantage of minimal additional communication.

Contribution

The paper introduces a specific memoryless network where a single bit of communication over time enhances the capacity region, revealing a novel capacity advantage.

Findings

Adding one bit of communication increases capacity region

Single bit can provide a strict capacity advantage

Illustrates importance of minimal communication in networks

Abstract

In this work we study the capacity advantage achieved by adding a single bit of communication -- not a link of capacity 1 but a single bit over all time -- to a memoryless network. Specifically, we present a memoryless network in which adding a single bit of communication strictly increases the capacity region.