Space-sharing and Singleton Bounds for Entanglement-assisted Classical Coding
Quantum Physics
2026-03-10 v1 Information Theory
math.IT
Abstract
Recent work has noted that a space-sharing argument proves the tightness of the entropic quantum Singleton bounds, which was left open in the literature for various settings involving only-quantum messages, only-classical messages, or both classical and quantum messages. Focusing on the setting of entanglement-assisted classical coding (EACC), in this letter we first elaborate upon the space-sharing argument and the tight Singleton bound for this setting, and then establish a new tight entropic Singleton bound for EACC codes with entanglement assistance distributed across a subset of encoders when only local quantum operations are allowed at each encoder.
Cite
@article{arxiv.2603.08563,
title = {Space-sharing and Singleton Bounds for Entanglement-assisted Classical Coding},
author = {Yuhang Yao and Tushita Prasad and Markus Grassl and Syed Jafar and Hua Sun},
journal= {arXiv preprint arXiv:2603.08563},
year = {2026}
}