Entanglement Transmission Capacity of Compound Channels

TL;DR

This paper establishes the maximum rate for reliably transmitting entanglement over compound channels with unknown but bounded channel properties, providing fundamental limits for quantum communication under uncertainty.

Contribution

It introduces a method to determine the entanglement transmission capacity for channels with unknown parameters, extending quantum Shannon theory to compound channel scenarios.

Findings

Derived the optimal entanglement transmission rate for compound channels

Provided coding schemes that achieve the capacity under channel uncertainty

Extended classical channel capacity concepts to quantum compound channels

Abstract

We determine the optimal achievable rate at which entanglement can be reliably transmitted when the memoryless channel used during transmission is unknown both to sender and receiver. To be more precise, we assume that both of them only know that the channel belongs to a given set of channels. Thus, they have to use encoding and decoding schemes that work well for the whole set.