论文标题
抗抗可区分性的非上下文性不平等
Noncontextuality Inequalities from Antidistinguishability
论文作者
论文摘要
非上下文性不等式通常源自量子状态的区分性能，即它们的正交性。在这里，我们表明抗可区分性也可用于得出非上下文性不平等。 Yu-OH 13射线非上下文性不平等可以被重新衍生并推广为我们的反溶性方法的一个实例。对于某些状态，抗可区分性方法在非上下文模型上给出了更严格的界限，而不仅仅是考虑正交性，哈达马德国家提供了一个例子。我们还基于相互无偏的基础和对称信息完整的POVM来得出非上下文性不平等。最初发现基于反抗可区分性的不平等现象是量子状态现实的重叠界限。我们在这里的主要贡献是表明它们也是非上下文性的不平等现象。
Noncontextuality inequalities are usually derived from the distinguishability properties of quantum states, i.e. their orthogonality. Here, we show that antidistinguishability can also be used to derive noncontextuality inequalities. The Yu-Oh 13 ray noncontextuality inequality can be re-derived and generalized as an instance of our antidistinguishability method. For some sets of states, the antidistinguishability method gives tighter bounds on noncontextual models than just considering orthogonality, and the Hadamard states provide an example of this. We also derive noncontextuality inequalities based on mutually unbiased bases and symmetric informationally complete POVMs. Antidistinguishability based inequalities were initially discovered as overlap bounds for the reality of the quantum state. Our main contribution here is to show that they are also noncontextuality inequalities.
