论文标题
保利测量的隐藏变量
Hidden Variables for Pauli Measurements
论文作者
论文摘要
Pauli测量值（可以使用Clifford操作员执行的测量值，然后在计算基础上进行测量）是量子信息的基本对象。众所周知，所有既完整又一致的Pauli测量结果没有结果。我们基于放松的条件定义了两类隐藏变量分配。部分隐藏变量分配保留了一致性条件，但没收。上下文隐藏的变量分配保留完整性，但没收一致性。我们使用来自光谱图理论的技术来表征相应隐藏变量分配的不完整性和不一致性。作为一种应用，我们将不完整结果解释为上下文性的陈述，而我们的不一致结果是非局部性的陈述。我们的结果表明，我们可以使用Clifford门和测量值获得大量的上下文性和非局部性。
The Pauli measurements (the measurements that can be performed with Clifford operators followed by measurement in the computational basis) are a fundamental object in quantum information. It is well-known that there is no assignment of outcomes to all Pauli measurements that is both complete and consistent. We define two classes of hidden variable assignments based on relaxing either condition. Partial hidden variable assignments retain the consistency condition, but forfeit completeness. Contextual hidden variable assignments retain completeness but forfeit consistency. We use techniques from spectral graph theory to characterize the incompleteness and inconsistency of the respective hidden variable assignments. As an application, we interpret our incompleteness result as a statement of contextuality and our inconsistency result as a statement of nonlocality. Our results show that we can obtain large amounts of contextuality and nonlocality using Clifford gates and measurements.
