Classical zero-knowledge arguments for quantum computations

Thomas Vidick1 and Tina Zhang2

1Department of Computing and Mathematical Sciences, California Institute of Technology, USA
2Division of Physics, Mathematics and Astronomy, California Institute of Technology, USA

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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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► References

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Cited by

[1] Prabhanjan Ananth and Rolando L. La Placa, Lecture Notes in Computer Science 12552, 123 (2020) ISBN:978-3-030-64380-5.

[2] Andrea Coladangelo, Thomas Vidick, and Tina Zhang, Lecture Notes in Computer Science 12172, 799 (2020) ISBN:978-3-030-56876-4.

[3] Anne Broadbent and Alex B. Grilo, "Zero-Knowledge for QMA from Locally Simulatable Proofs", arXiv:1911.07782.

[4] Gorjan Alagic, Andrew M. Childs, Alex B. Grilo, and Shih-Han Hung, "Non-interactive classical verification of quantum computation", arXiv:1911.08101.

[5] Andrea Coladangelo, Thomas Vidick, and Tina Zhang, "Non-interactive zero-knowledge arguments for QMA, with preprocessing", arXiv:1911.07546.

[6] Thomas Vidick and Tina Zhang, "Classical proofs of quantum knowledge", arXiv:2005.01691.

[7] Prabhanjan Ananth and Rolando L. La Placa, "Secure Quantum Extraction Protocols", arXiv:1911.07672.

The above citations are from Crossref's cited-by service (last updated successfully 2021-01-15 20:09:31) and SAO/NASA ADS (last updated successfully 2021-01-15 20:09:33). The list may be incomplete as not all publishers provide suitable and complete citation data.