The Simultaneous Identification Capacity of the Classical--Quantum Multiple Access Channel

TL;DR

This paper proves that the maximum rate for message identification over a classical-quantum multiple access channel equals its message transmission capacity, linking two fundamental communication capacities.

Contribution

It establishes the equality between the simultaneous identification capacity and the message transmission capacity region for classical-quantum multiple access channels.

Findings

Identification capacity equals transmission capacity region.

Results apply to channels with two classical senders and one quantum receiver.

Provides theoretical foundation for quantum communication protocols.

Abstract

Here we discuss message identification, a problem formalized by Rudolf Ahlswede and Gunter Dueck, over a classical-quantum multiple access channel with two classical senders and one quantum receiver. We show that the simultaneous identification capacity, a capacity defined by Peter L\"ober, of this multiple access channel is equal to its message transmission capacity region.