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Paper: Multi-theorem Designated-Verifier NIZK for QMA

Authors:
Omri Shmueli , Tel Aviv University
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Conference: CRYPTO 2021
Abstract: Abstract. We present a designated-verifier non-interactive zero-knowledge argument system for QMA with multi-theorem security under the Learning with Errors Assumption. All previous such protocols for QMA are only single-theorem secure. We also relax the setup assumption required in previous works. We prove security in the malicious designated-verifier (MDV-NIZK) model (Quach, Rothblum, and Wichs, EUROCRYPT 2019), where the setup consists of a mutually trusted random string and an untrusted verifier public key. Our main technical contribution is a general compiler that given a NIZK for NP and a quantum sigma protocol for QMA generates an MDV-NIZK protocol for QMA.
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BibTeX
@inproceedings{crypto-2021-31205,
  title={Multi-theorem Designated-Verifier NIZK for QMA},
  publisher={Springer-Verlag},
  author={Omri Shmueli},
  year=2021
}