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Quantum Machine Learning Quantum Simulation

How to Construct Quantum FHE, Generically

arXiv
Authors: Aparna Gupte, Vinod Vaikuntanathan

Year

2024

Paper ID

66877

Status

Preprint

Abstract Read

~2 min

Abstract Words

99

Citations

N/A

Abstract

We construct a (compact) quantum fully homomorphic encryption (QFHE) scheme starting from (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.

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  • We construct a (compact) quantum fully homomorphic encryption (QFHE) scheme starting from (compact) classical fully homomorphic encryption scheme with decryption in mathsfNC^1...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2406.03379 [2] arXiv https://arxiv.org/abs/2406.03379 [3] Publisher https://arxiv.org/abs/2406.03379

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