Multi-source-extractors are functions that extract uniform randomness from
multiple (weak) sources of randomness. Quantum multi-source-extractors were
considered by Kasher and Kempe (for the quantum-independent-adversary and the
quantum-bounded-storage-adversary), Chung, Li and Wu (for the
general-entangled-adversary) and Arnon-Friedman, Portmann and Scholz (for the
quantum-Markov-adversary). One of the main objectives of this work is to unify
all the existing quantum multi-source adversary models. We propose two new
models of adversaries: 1) the quantum-measurement-adversary (qm-adv), which
generates side-information using entanglement and on post-measurement and 2)
the quantum-communication-adversary (qc-adv), which generates side-information
using entanglement and communication between multiple sources. We show that, 1.
qm-adv is the strongest adversary among all the known adversaries, in the sense
that the side-information of all other adversaries can be generated by qm-adv.
2. The (generalized) inner-product function (in fact a general class of
two-wise independent functions) continues to work as a good extractor against
qm-adv with matching parameters as that of Chor and Goldreich. 3. A
non-malleable-extractor proposed by Li (against classical-adversaries)
continues to be secure against quantum side-information. This result implies a
non-malleable-extractor result of Aggarwal, Chung, Lin and Vidick with uniform
seed. We strengthen their result via a completely different proof to make the
non-malleable-extractor of Li secure against quantum side-information even when
the seed is not uniform. 4. A modification (working with weak sources instead
of uniform sources) of the Dodis and Wichs protocol for privacy-amplification
is secure against active quantum adversaries. This strengthens on a recent
result due to Aggarwal, Chung, Lin and Vidick which uses uniform sources.

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