The strong converse exponent of composable randomness extraction against quantum side information
- URL: http://arxiv.org/abs/2601.19182v1
- Date: Tue, 27 Jan 2026 04:31:15 GMT
- Title: The strong converse exponent of composable randomness extraction against quantum side information
- Authors: Roberto Rubboli, Marco Tomamichel,
- Abstract summary: We find a tight characterization of the strong converse exponent for randomness extraction against quantum side information.<n>We employ a composable error criterion given by the fidelity (or purified distance) to a uniform distribution in product with the marginal state.
- Score: 11.458853556386797
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We find a tight characterization of the strong converse exponent for randomness extraction against quantum side information. In contrast to previous tight bounds, we employ a composable error criterion given by the fidelity (or purified distance) to a uniform distribution in product with the marginal state. The characterization is in terms of a club-sandwiched conditional entropy recently introduced by Rubboli, Goodarzi and Tomamichel and used by Li, Li and Yu to establish the strong converse exponent for the case of classical side information. This provides the first precise operational interpretation of this family of conditional entropies in the quantum setting.
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