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arXiv · 2603.08563

Space-sharing and Singleton Bounds for Entanglement-assisted Classical Coding

Yuhang Yao·Tushita Prasad·Markus Grassl·Syed Jafar·Hua Sun
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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.

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Yuhang Yao, Tushita Prasad, Markus Grassl, Syed Jafar, Hua Sun. 2026-03-09. Space-sharing and Singleton Bounds for Entanglement-assisted Classical Coding. https://arxiv.org/abs/2603.08563

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