论文标题
任何四个正交的Q Q Ququad Ququad Quallymimpimimimpimimpimimpimimimimpimalled Statess在本地都有很大的明显
Any four orthogonal ququad-ququad maximally entangled states are locally markable
论文作者
论文摘要
在量子状态歧视中，观察者有一个量子系统，并旨在从两个或更多可能的目标状态验证其状态。在局部量子状态标记为量子状态歧视的扩展中，有N复合量子系统和N可能的正交目标量子状态。要求遥远的爱丽丝和鲍勃通过本地操作和经典交流正确地标记给定量子系统的状态。在这里，我们使用n 4 $ {\ otimes} $ 4系统，n = 4、5、6和7。在此研究局部状态标记。在其中，爱丽丝和鲍勃允许三个本地操作：测量可观察的$σ_{z} $或$ qut $σ_{x {x}} $，并同时互换。它表明，给定任意四个4 $ {\ otimes} $ 4系统，爱丽丝和鲍勃可以执行完美的本地量子状态标记。在n = 5，6情况下，它们可以使用特定目标状态执行完美的局部状态标记。我们猜测给定七个目标状态的本地量子状态标记的不可能，因为爱丽丝和鲍勃在最简单的情况下无法完成任务。
In quantum state discrimination, the observers are given a quantum system and aim to verify its state from the two or more possible target states. In the local quantum state marking as an extension of quantum state discrimination, there are N composite quantum systems and N possible orthogonal target quantum states. Distant Alice and Bob are asked to correctly mark the states of the given quantum systems via local operations and classical communication. Here we investigate the local state marking with N 4 ${\otimes}$ 4 systems, N=4, 5, 6, and 7. Therein, Alice and Bob allow for three local operations: measuring the local observable either $σ_{z}$ or $σ_{x}$ simultaneously, and entanglement swapping. It shows that, given arbitrary four 4 ${\otimes}$ 4 systems, Alice and Bob can perform the perfect local quantum state marking. In the N=5, 6 cases, they can perform perfect local state marking with specific target states. We conjecture the impossibility of the local quantum state marking given any seven target states since Alice and Bob cannot fulfill the task in the simplest case.
