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On QMA Protocols with Two Short Quantum Proofs

Quantum Physics 2021-10-05 v2 Computational Complexity

Abstract

This paper gives a QMA (Quantum Merlin-Arthur) protocol for 3-SAT with two logarithmic-size quantum proofs (that are not entangled with each other) such that the gap between the completeness and the soundness is Omega(1/n polylog(n)). This improves the best completeness/soundness gaps known for NP-complete problems in this setting.

Cite

@article{arxiv.1108.4306,
  title  = {On QMA Protocols with Two Short Quantum Proofs},
  author = {Francois Le Gall and Shota Nakagawa and Harumichi Nishimura},
  journal= {arXiv preprint arXiv:1108.4306},
  year   = {2021}
}

Comments

12pages

R2 v1 2026-06-21T18:53:34.285Z