Zero-Error List Decoding for Classical-Quantum Channels
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866918450299928576 |
|---|---|
| author | Dalai, Marco Girardi, Filippo Lami, Ludovico |
| author_facet | Dalai, Marco Girardi, Filippo Lami, Ludovico |
| contents | The aim of this work is to study the zero-error capacity of pure-state classical-quantum channels in the setting of list decoding. We provide an achievability bound for list-size two and a converse bound holding for every fixed list size. The two bounds coincide for channels whose pairwise absolute state overlaps form a positive semi-definite matrix. Finally, we discuss a remarkable peculiarity of the classical-quantum case: differently from the fully classical setting, the rate at which the sphere-packing bound diverges might not be achievable by zero-error list codes, even when we take the limit of fixed but arbitrarily large list size. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_09786 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Zero-Error List Decoding for Classical-Quantum Channels Dalai, Marco Girardi, Filippo Lami, Ludovico Quantum Physics Information Theory Mathematical Physics The aim of this work is to study the zero-error capacity of pure-state classical-quantum channels in the setting of list decoding. We provide an achievability bound for list-size two and a converse bound holding for every fixed list size. The two bounds coincide for channels whose pairwise absolute state overlaps form a positive semi-definite matrix. Finally, we discuss a remarkable peculiarity of the classical-quantum case: differently from the fully classical setting, the rate at which the sphere-packing bound diverges might not be achievable by zero-error list codes, even when we take the limit of fixed but arbitrarily large list size. |
| title | Zero-Error List Decoding for Classical-Quantum Channels |
| topic | Quantum Physics Information Theory Mathematical Physics |
| url | https://arxiv.org/abs/2601.09786 |