论文标题
消除量子序列的群体理论方法
A group-theoretic approach to elimination measurements of qubit sequences
论文作者
论文摘要
大多数测量旨在告诉您发生了几种替代方案中的哪些，但是也可以进行消除可能性的测量并告诉您未发生的替代方案。这种类型的测量已被证明在量子基础和量子密码学中有用。在这里，我们展示了如何使用小组理论来设计此类测量。经过一定的一般考虑，我们将重点放在消除一个状态的两数分状态的测量情况下。然后，我们继续构建测量结果，以消除两个三分之二的状态和四个四数分状态。然后提出约束消除测量的构建的条件。最后，在附录中，我们简要考虑了具有故障概率的消除测量的情况，并在$ n $ qubit状态下进行了消除测量。
Most measurements are designed to tell you which of several alternatives have occurred, but it is also possible to make measurements that eliminate possibilities and tell you an alternative that did not occur. Measurements of this type have proven useful in quantum foundations and in quantum cryptography. Here we show how group theory can be used to design such measurements. After some general considerations, we focus on the case of measurements on two-qubit states that eliminate one state. We then move on to construct measurements that eliminate two three-qubit states and four four-qubit states. A condition that constrains the construction of elimination measurements is then presented. Finally, in an appendix, we briefly consider the case of elimination measurements with failure probabilities and an elimination measurement on $n$-qubit states.
