English

Entanglement-Resistant Two-Prover Interactive Proof Systems and Non-Adaptive Private Information Retrieval Systems

Quantum Physics 2007-07-13 v1

Abstract

We show that, for any language in NP, there is an entanglement-resistant constant-bit two-prover interactive proof system with a constant completeness vs. soundness gap. The previously proposed classical two-prover constant-bit interactive proof systems are known not to be entanglement-resistant. This is currently the strongest expressive power of any known constant-bit answer multi-prover interactive proof system that achieves a constant gap. Our result is based on an "oracularizing" property of certain private information retrieval systems, which may be of independent interest.

Cite

@article{arxiv.0707.1729,
  title  = {Entanglement-Resistant Two-Prover Interactive Proof Systems and Non-Adaptive Private Information Retrieval Systems},
  author = {Richard Cleve and Dmitry Gavinsky and Rahul Jain},
  journal= {arXiv preprint arXiv:0707.1729},
  year   = {2007}
}

Comments

8 pages

R2 v1 2026-06-21T08:57:27.686Z