Classical verification of quantum proofs

Zhengfeng Ji
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引用次数: 45

Abstract

We present a classical interactive protocol that verifies the validity of a quantum witness state for the local Hamiltonian problem. It follows from this protocol that approximating the non-local value of a multi-player one-round game to inverse polynomial precision is QMA-hard. Our work makes an interesting connection between the theory of QMA-completeness and Hamiltonian complexity on one hand and the study of non-local games and Bell inequalities on the other.
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量子证明的经典验证
我们提出了一个经典的交互协议来验证局部哈密顿问题的量子见证态的有效性。从该协议可以看出,将多人一局博弈的非局部值逼近到逆多项式精度是qma困难的。我们的工作在qma完备性和哈密顿复杂度理论与非局部对策和贝尔不等式的研究之间建立了一个有趣的联系。
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Exponential separation of communication and external information Proceedings of the forty-eighth annual ACM symposium on Theory of Computing Explicit two-source extractors and resilient functions Constant-rate coding for multiparty interactive communication is impossible Approximating connectivity domination in weighted bounded-genus graphs
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