Faithful Simulation of Broadcast Measurements

TL;DR

This paper develops methods to simulate quantum measurement outcomes with minimal communication, enabling Alice and Bob to replicate measurement results using shared randomness and limited data exchange.

Contribution

It introduces achievable regions for communication costs required for Alice and Bob to faithfully simulate quantum measurements with a central server.

Findings

Derived bounds on communication rates for measurement simulation

Established protocols for faithful quantum measurement simulation

Quantified the role of shared randomness in reducing communication

Abstract

In this paper a central server Charlie has access to a quantum system C and measures it with a POVM $\{\Lambda_x\}$. Alice and Bob are only interested in the partial results $g_A(x)$ respectively $g_B(x)$. Alice, Bob, and Charlie share common randomness and Alice and Bob only need to faithfully simulate their measurements. The paper develops to achievable regions for the amount of communication needed to Alice and Bob.