One-shot inner bounds for sending private classical information over a quantum MAC

2021/05/13 by Sayantan Chakraborty, Chakraborty, Sayantan, Aditya Nema +3
Computer Science · Engineering · #FOS: Computer and information sciences #FOS: Physical sciences #Information Theory (cs.IT) #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Wireless Communication Security Techniques

paper · pdf · doi:10.48550/arxiv.2105.06100

openalex publication_date 2021/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide the first inner bounds for sending private classical information over a quantum multiple access channel. We do so by using three powerful information theoretic techniques: rate splitting, quantum simultaneous decoding for multiple access channels, and a novel smoothed distributed covering lemma for classical quantum channels. Our inner bounds are given in the one shot setting and accordingly the three techniques used are all very recent ones specifically designed to work in this setting. The last technique is new to this work and is our main technical advancement. For the asymptotic iid setting, our one shot inner bounds lead to the natural quantum analogue of the best classical inner bounds for this problem.

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