Classical Adversarial Fault-Tolerance and PCPs

Anurag Anshu; Nikolas P. Breuckmann; Louis Golowich; Quynh T. Nguyen; Umesh Vazirani

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arXiv · 2608.16860

Classical Adversarial Fault-Tolerance and PCPs

Anurag Anshu·Nikolas P. Breuckmann·Louis Golowich·Quynh T. Nguyen·Umesh Vazirani

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Abstract

We show how to compile an arbitrary classical circuit into a fault-tolerant circuit, which performs the desired computation even when an almost-linear number of bits are adversarially chosen and corrupted in each timestep. Using a variant of this fault-tolerance scheme that only detects (rather than corrects) corruptions, we give a new construction of probabilistically checkable proofs (PCPs) for NP with polylogarithmic query complexity. This PCP construction from fault-tolerance presents a promising candidate for quantization by the work of Anshu, Breuckmann, and Nguyen (STOC'24), who provided a roadmap for constructing quantum PCPs via fault-tolerance.

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BibTeX RIS

Anurag Anshu, Nikolas P. Breuckmann, Louis Golowich, Quynh T. Nguyen, Umesh Vazirani. 2026-08-17. Classical Adversarial Fault-Tolerance and PCPs. https://arxiv.org/abs/2608.16860

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