Welcome to the resource topic for 2024/893
Title:
How to Construct Quantum FHE, Generically
Authors: Aparna Gupte, Vinod Vaikuntanathan
Abstract:We construct a (compact) quantum fully homomorphic encryption (QFHE) scheme starting from any (compact) classical fully homomorphic encryption scheme with decryption in \mathsf{NC}^{1}, together with a dual-mode trapdoor function family. Compared to previous constructions (Mahadev, FOCS 2018; Brakerski, CRYPTO 2018) which made non-black-box use of similar underlying primitives, our construction provides a pathway to instantiations from different assumptions. Our construction uses the techniques of Dulek, Schaffner and Speelman (CRYPTO 2016) and shows how to make the client in their QFHE scheme classical using dual-mode trapdoor functions. As an additional contribution, we show a new instantiation of dual-mode trapdoor functions from group actions.
ePrint: https://eprint.iacr.org/2024/893
See all topics related to this paper.
Feel free to post resources that are related to this paper below.
Example resources include: implementations, explanation materials, talks, slides, links to previous discussions on other websites.
For more information, see the rules for Resource Topics .