Coordination Capacity for Classical-Quantum Correlations

TL;DR

This paper investigates the fundamental limits of generating classical-quantum correlations in networks, establishing optimal tradeoffs between communication and common randomness in various multi-party scenarios.

Contribution

It introduces the first comprehensive analysis of coordination capacity for classical-quantum correlations across different network configurations.

Findings

Derived optimal tradeoffs between communication and common randomness rates.

Characterized the simulation of classical-quantum states with rate constraints.

Extended results to multi-party broadcast settings.

Abstract

Network coordination is considered in three basic settings, characterizing the generation of separable and classical-quantum correlations among multiple parties. First, we consider the simulation of a classical-quantum state between two nodes with rate-limited common randomness (CR) and communication. Furthermore, we study the preparation of a separable state between multiple nodes with rate-limited CR and no communication. At last, we consider a broadcast setting, where a sender and two receivers simulate a classical-quantum-quantum state using rate-limited CR and communication. We establish the optimal tradeoff between communication and CR rates in each setting.