Improved Two-source Extractors against Quantum Side Information

2025/03/07 by Jakob Miller, Miller, Jakob, Martin Sandfuchs +3 · 1 voice · 2 citations
Computer Science · Physics and Astronomy · #Cryptography and Security (cs.CR) #FOS: Computer and information sciences #FOS: Physical sciences #Quantum Physics (quant-ph) #cs.CR #quant-ph

paper · pdf · doi:10.48550/arxiv.2503.05528

Abstract

Two-source extractors aim to extract randomness from two independent sources of weak randomness. It has been shown that any two-source extractor which is secure against classical side information remains secure against quantum side information. Unfortunately, this generic reduction comes with a significant penalty to the performance of the extractor. In this paper, we show that the two-source extractor from Dodis et al. performs equally well against quantum side information as in the classical realm, surpassing previously known results about this extractor. Additionally, we derive a new quantum XOR-Lemma which allows us to re-derive the generic reduction but also allows for improvements for a large class of extractors.

Cited by

• Randomness from causally independent processes
• An efficient construction of Raz's two-source randomness extractor with improved parameters

Discussions

• New preprint! QuITter Jakob brings us this cool new work on randomness generation in the classical and quantum realms. Featuring a very fun title page image: arxiv.org/abs/2503.05528 [bsky, 4 points, 0 comments]

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