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Post-quantum zero knowledge in constant rounds

Nir Bitansky, Omri Shmueli·December 10, 2019·DOI: 10.1145/3357713.3384324
Computer ScienceMathematicsPhysics

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Abstract

We construct a constant-round zero-knowledge classical argument for NP secure against quantum attacks. We assume the existence of Quantum Fully-Homomorphic Encryption and other standard primitives, known based on the Learning with Errors Assumption for quantum algorithms. As a corollary, we also obtain a constant-round zero-knowledge quantum argument for QMA. At the heart of our protocol is a new no-cloning non-black-box simulation technique.

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