Quantum Fast Implementation of Functional Bootstrapping and Private Information Retrieval

• URL: http://arxiv.org/abs/2409.20182v3
• Date: Tue, 29 Oct 2024 15:09:15 GMT
• Title: Quantum Fast Implementation of Functional Bootstrapping and Private Information Retrieval
• Authors: Guangsheng Ma, Hongbo Li,
• Abstract summary: We show that employing a single quantum computation server can significantly enhance both the efficiency and security of privacy-preserving techniques. We propose an efficient quantum algorithm for functional bootstrapping of large plaintexts. Our extension are quantum-based cryptographic tools that may gain dramatic speedups.
• Score: 1.6319731389952283
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Classical privacy-preserving computation techniques safeguard sensitive data in cloud computing, but often suffer from low computational efficiency. In this paper, we show that employing a single quantum server can significantly enhance both the efficiency and security of privacy-preserving computation. We propose an efficient quantum algorithm for functional bootstrapping of large-precision plaintexts, reducing the time complexity from exponential to polynomial in plaintext-size compared to classical algorithms. To support general functional bootstrapping, we design a fast quantum private information retrieval (PIR) protocol with logarithmic query time. The security relies on the learning with errors (LWE) problem with polynomial modulus, providing stronger security than classical ``exponentially fast'' PIR protocol based on ring-LWE with super-polynomial modulus. Technically, we extend a key classical homomorphic operation, known as blind rotation, to the quantum setting through encrypted conditional rotation. Underlying our extension are insights for the quantum extension of polynomial-based cryptographic tools that may gain dramatic speedups.

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