Random-Receiver Quantum Communication

TL;DR

This paper introduces a novel quantum communication task where a sender transmits quantum messages to a randomly chosen receiver among multiple parties, demonstrating that entanglement-breaking channels can enable this under certain controlled conditions.

Contribution

The paper presents the concept of random-receiver quantum communication and shows it can be achieved via entanglement-breaking channels with quantum-controlled ordering, unlike traditional methods.

Findings

Random-receiver quantum communication is feasible with entanglement-breaking channels.

Quantum-controlled channel ordering enables communication that classical methods cannot replicate.

The approach surpasses limitations of free quantum communication among subsets of parties.

Abstract

We introduce the task of random-receiver quantum communication, in which a sender transmits a quantum message to a receiver chosen from a list of n spatially separated parties. The choice of receiver is unknown to the sender, but is known by the n parties, who coordinate their actions by exchanging classical messages. In normal conditions, random-receiver quantum communication requires a noiseless quantum communication channel from the sender to each of the n receivers. In contrast, we show that random-receiver quantum communication can take place through entanglement-breaking channels if the order of such channels is controlled by a quantum bit that is accessible through quantum measurements. Notably, this phenomenon cannot be mimicked by allowing free quantum communication between the sender and any subset of k<n parties.