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Classical zero-knowledge arguments for quantum computations

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arxiv 1902.05217 v4 pith:KTIE4FK6 submitted 2019-02-14 quant-ph

classification quant-ph
keywords quantumzero-knowledgeclassicalsystemargumentfocsintroducedlanguages
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We show that every language in QMA admits a classical-verifier, quantum-prover zero-knowledge argument system which is sound against quantum polynomial-time provers and zero-knowledge for classical (and quantum) polynomial-time verifiers. The protocol builds upon two recent results: a computational zero-knowledge proof system for languages in QMA, with a quantum verifier, introduced by Broadbent et al. (FOCS 2016), and an argument system for languages in QMA, with a classical verifier, introduced by Mahadev (FOCS 2018).

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