{"DOI":"10.1093/nsr/nwab115","PMCID":"PMC8433078","PMID":"34691744","abstract":"Abstract\n Privacy-preserving computation enables multiple participants to engage in a joint computation over their private data and/or verify the correctness of the computation while preserving the privacy of computation against malicious participants and external adversaries. Thanks to its versatility, privacy-preserving computation finds attractive applications in machine learning, financial industry, medical diagnosis, etc. Advanced quantum computers constitute potential threats to the public-key crypto-systems widely deployed in the real world, such as banking and securities trading systems, blockchains, TLS/SSL and privacy-preserving computation technologies. In this perspectives article, we survey the most promising privacy-preserving cryptographic technologies including secure multiparty computation, zero-knowledge proofs and fully homomorphic encryption, and their various real-world applications. Further, we point out their deficiencies in efficiency and quantum resistance, and make an outlook on the future trends and directions in the development of post-quantum privacy-preserving technologies.","author":[{"family":"Yu","given":"Yu"},{"family":"Xie","given":"Xiang"}],"id":"unknown","issue":"9","issued":{"date-parts":[[2021,7,7]]},"language":"en","page-first":"nwab115","publisher":"Oxford University Press (OUP)","title":"Privacy-preserving computation in the post-quantum era","type":"article-journal","volume":"8"}