Post-Quantum Privacy-Preserving Computation: Analysis and Constructions

In this article, we explore the importance of privacy-preserving computation in the post-quantum era, where quantum computers can potentially break many encryption algorithms currently in use. We discuss several constructions of hash functions that can provide secure and efficient computation without sacrificing privacy. These constructions include the use of multivariate cryptography, such as the NTRU and IRIS schemes, as well as the use of hash functions with a large number of inputs, like the SIDH and SPHINCS+ schemes.
The article highlights the need for new encryption techniques that can resist quantum attacks while also preserving user privacy. The authors propose several approaches to achieving this goal, including the use of homomorphic encryption and secure multi-party computation protocols. They also discuss the importance of evaluating these constructions using realistic security models and performance metrics to ensure their practicality and effectiveness in real-world scenarios.
To illustrate their points, the authors provide several examples of privacy-preserving computations that can be achieved through the use of these constructions, such as secure multiparty computation and privacy-preserving data analysis. They also discuss potential applications of these constructions in areas like finance, healthcare, and government.
Overall, the article provides a comprehensive overview of the challenges and solutions related to privacy-preserving computation in the post-quantum era, demonstrating the need for new encryption techniques that can balance security and efficiency while preserving user privacy.