A new reduction converts constant-gap PCPs from imperfect to perfect completeness with small overhead and proves equivalence of Gap-ETH variants with and without perfect completeness.
A parallel repetition theorem
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
years
2019 2representative citing papers
The 2D HLF problem lies in QNC^0 but not in AC^0, with an exponential average-case correlation lower bound against AC^0 circuits.
citing papers explorer
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Imperfect Gaps in Gap-ETH and PCPs
A new reduction converts constant-gap PCPs from imperfect to perfect completeness with small overhead and proves equivalence of Gap-ETH variants with and without perfect completeness.
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Exponential separation between shallow quantum circuits and unbounded fan-in shallow classical circuits
The 2D HLF problem lies in QNC^0 but not in AC^0, with an exponential average-case correlation lower bound against AC^0 circuits.