Deterministic Multi-User Identification over Bosonic Channels

TL;DR

This paper investigates multi-user identification over bosonic channels with coherent states, revealing a near-k log k capacity scaling using geometric phase space signatures.

Contribution

It introduces a quantum multi-user identification model with geometric signatures and derives capacity bounds showing near-logarithmic scaling.

Findings

Identification capacity scales as near-k log k.

Geometric phase space signatures are used for identification.

Capacity bounds are derived using metric entropy bounds.

Abstract

We study deterministic multi-user identification over bosonic channels using coherent-state signatures. Each user is assigned a coherent product state under an average energy constraint, and identification is performed by a user-specific binary quantum test. In contrast to classical multi-user identification models based on shared codebooks, this formulation associates each receiver with a geometric signature in high-dimensional phase space. Using metric entropy bounds, we show that the identification capacity exhibits a near-k log k scaling behavior.