Resolvability of classical-quantum channels
October 22, 2024 Β· Declared Dead Β· π IEEE Transactions on Information Theory
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Authors
Masahito Hayashi, Hao-Chung Cheng, Li Gao
arXiv ID
2410.16704
Category
quant-ph: Quantum Computing
Cross-listed
cs.ET,
cs.IT
Citations
5
Venue
IEEE Transactions on Information Theory
Last Checked
5 months ago
Abstract
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.
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