Space-sharing and Singleton Bounds for Entanglement-assisted Classical Coding
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866917325345652736 |
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| author | Yao, Yuhang Prasad, Tushita Grassl, Markus Jafar, Syed Sun, Hua |
| author_facet | Yao, Yuhang Prasad, Tushita Grassl, Markus Jafar, Syed Sun, Hua |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_08563 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Space-sharing and Singleton Bounds for Entanglement-assisted Classical Coding Yao, Yuhang Prasad, Tushita Grassl, Markus Jafar, Syed Sun, Hua Quantum Physics Information Theory 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. |
| title | Space-sharing and Singleton Bounds for Entanglement-assisted Classical Coding |
| topic | Quantum Physics Information Theory |
| url | https://arxiv.org/abs/2603.08563 |