Resolvability of classical-quantum channels
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929554099011584 |
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| author | Hayashi, Masahito Cheng, Hao-Chung Gao, Li |
| author_facet | Hayashi, Masahito Cheng, Hao-Chung Gao, Li |
| contents | Channel resolvability concerns the minimum resolution for approximating the channel output. We study the resolvability of classical-quantum channels in two settings, for the channel output generated from the worst input, and form the fixed independent and identically distributed (i.i.d.) input. The direct part of the worst-input setting is derived from sequential hypothesis testing as it involves of non-i.i.d.~inputs. The strong converse of the worst-input setting is obtained via the connection to identification codes. For the fixed-input setting, while the direct part follows from the known quantum soft covering result, we exploit the recent alternative quantum Sanov theorem to solve the strong converse. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_16704 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Resolvability of classical-quantum channels Hayashi, Masahito Cheng, Hao-Chung Gao, Li Quantum Physics Emerging Technologies Information Theory Channel resolvability concerns the minimum resolution for approximating the channel output. We study the resolvability of classical-quantum channels in two settings, for the channel output generated from the worst input, and form the fixed independent and identically distributed (i.i.d.) input. The direct part of the worst-input setting is derived from sequential hypothesis testing as it involves of non-i.i.d.~inputs. The strong converse of the worst-input setting is obtained via the connection to identification codes. For the fixed-input setting, while the direct part follows from the known quantum soft covering result, we exploit the recent alternative quantum Sanov theorem to solve the strong converse. |
| title | Resolvability of classical-quantum channels |
| topic | Quantum Physics Emerging Technologies Information Theory |
| url | https://arxiv.org/abs/2410.16704 |