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文章基本信息

  • 标题:Classical Verification of Quantum Proofs
  • 本地全文:下载
  • 作者:Zhengfeng Ji
  • 期刊名称:Theory of Computing
  • 印刷版ISSN:1557-2862
  • 电子版ISSN:1557-2862
  • 出版年度:2019
  • 卷号:15
  • 页码:1-42
  • DOI:10.4086/toc.2019.v015a005
  • 出版社:University of Chicago
  • 摘要:We present a classical interactive protocol that checks the validity of a quantum witness state for the local Hamiltonian problem. It follows from this protocol that approximating the nonlocal value of a multi-player one-round game to inverse polynomial precision is QMA-hard. Our result makes a connection between the theory of QMA-completeness and Hamiltonian complexity on one hand and the study of nonlocal games and Bell inequalities on the other.
  • 关键词:quantum interactive proofs; local Hamiltonian problem; nonlocal games;; entanglement; Bell inequalities
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