Showing papers by "Alice Silverberg published in 2021"
TL;DR: Boneh et al. as discussed by the authors showed that if a rational map is constant on each isomorphism class of unpolarized abelian varieties of a given dimension, then it is a constant map.
Abstract: We show that if a rational map is constant on each isomorphism class of unpolarized abelian varieties of a given dimension, then it is a constant map. Our results shed light on a question raised by Boneh et al. (J. Math. Cryptol. 14:1 (2020), 5–14) concerning a proposal for multiparty noninteractive key exchange.
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TL;DR: In this paper, the authors proposed a new idea for public key quantum money, in which bills are encoded as a joint eigenstate of a fixed system of commuting unitary operators.
Abstract: We propose a new idea for public key quantum money. In the abstract sense, our bills are encoded as a joint eigenstate of a fixed system of commuting unitary operators. We perform some basic analysis of this black box system and show that it is resistant to black box attacks. In order to instantiate this protocol, one needs to find a cryptographically complicated system of computable, commuting, unitary operators. To fill this need, we propose using Brandt operators acting on the Brandt modules associated to certain quaternion algebras. We explain why we believe this instantiation is likely to be secure.