2010/05/04 by Roy Kasher, Julia Kempe, Kasher, Roy +1 · 4 citations
Computer Science · #Adversarial Robustness in Machine Learning #Computational Complexity (cs.CC) #FOS: Computer and information sciences #FOS: Physical sciences #Physical Unclonable Functions (PUFs) and Hardware Security #Quantum Information and Cryptography #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.1005.0512
openalex publication_date 2010/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We initiate the study of multi-source extractors in the quantum world. In this setting, our goal is to extract random bits from two independent weak random sources, on which two quantum adversaries store a bounded amount of information. Our main result is a two-source extractor secure against quantum adversaries, with parameters closely matching the classical case and tight in several instances. Moreover, the extractor is secure even if the adversaries share entanglement. The construction is the Chor-Goldreich [CG88] two-source inner product extractor and its multi-bit variant by Dodis et al. [DEOR04]. Previously, research in this area focused on the construction of seeded extractors secure against quantum adversaries; the multi-source setting poses new challenges, among which is the presence of entanglement that could potentially break the independence of the sources.