The Quantum Multiple-Access Channel With Cribbing Encoders

Uzi Pereg, Christian Deppe, Holger Boche

פרסום מחקרי: פרסום בכתב עתמאמרביקורת עמיתים

תקציר

Communication over a quantum multiple-access channel (MAC) with cribbing encoders is considered, whereby Transmitter 2 performs a measurement on a system that is entangled with Transmitter 1. Based on the no-cloning theorem, perfect cribbing is impossible. This leads to the introduction of a MAC model with noisy cribbing. In the causal and non-causal cribbing scenarios, Transmitter 2 performs the measurement before the input of Transmitter 1 is sent through the channel. Hence, Transmitter 2's cribbing may inflict a 'state collapse' for Transmitter 1. Achievable regions are derived for each setting. Furthermore, a regularized capacity characterization is established for robust cribbing, i.e. when the cribbing system contains all the information of the channel input. Building on the analogy between the noisy cribbing model and the relay channel, a partial decode-forward region is derived for a quantum MAC with non-robust cribbing. For the classical-quantum MAC with cribbing encoders, the capacity region is determined with perfect cribbing of the classical input, and a cutset region is derived for noisy cribbing. In the special case of a classical-quantum MAC with a deterministic cribbing channel, the inner and outer bounds coincide.

שפה מקוריתאנגלית
עמודים (מ-עד)3965-3988
מספר עמודים24
כתב עתIEEE Transactions on Information Theory
כרך68
מספר גיליון6
מזהי עצם דיגיטלי (DOIs)
סטטוס פרסוםפורסם - 1 יוני 2022
פורסם באופן חיצוניכן

ASJC Scopus subject areas

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