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Open Quantum Systems Decoherence Quantum Machine Learning

Resolvability of classical-quantum channels

arXiv
Authors: Masahito Hayashi, Hao-Chung Cheng, Li Gao

Year

2024

Paper ID

37815

Status

Preprint

Abstract Read

~2 min

Abstract Words

107

Citations

N/A

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.

Why This Paper Matters

  • This paper contributes to the Quantum Machine Learning research area in the Quantum Articles archive.
  • It adds a 2024 reference point for readers tracking recent quantum research.
  • Channel resolvability concerns the minimum resolution for approximating the channel output.

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