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Classical Verification of Quantum Computation Beyond the Polynomial Hierarchy

This paper demonstrates that, relative to a classical oracle, a classical polynomial-time verifier can efficiently verify a language beyond the polynomial hierarchy decided by a quantum polynomial-time prover using a public-coin interactive proof system, achieved through a novel recursive Fourier sampling variant and a new switching theorem that overcomes limitations of Håstad's switching lemma.

Original authors: Atul Mantri

Published 2026-10-28
📖 1 min read☕ Coffee break read

Original authors: Atul Mantri

Original paper licensed under CC BY 4.0 (http://creativecommons.org/licenses/by/4.0/). ✨ This is an AI-generated explanation of the paper below. It is not written or endorsed by the authors. For technical accuracy, refer to the original paper. Read full disclaimer

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