论文标题
量子状态旋转：循环转移多个用户的量子状态
Quantum state rotation: Circularly transferring quantum states of multiple users
论文作者
论文摘要
量子状态交换是针对两个用户的量子通信任务，在该任务中，用户忠实地在渐近场景下忠实地交换了其各自的初始状态部分。在这项工作中，我们将量子状态交换任务概括为$ m $用户的量子通信任务，其中用户循环地将其各自的初始状态部分转移。我们假设每对用户都可以共享纠缠资源，他们使用本地操作和经典通信来执行任务。我们将此广义任务称为（渐近）量子状态旋转。首先，我们正式定义了量子状态旋转任务及其最佳纠缠成本，这意味着执行任务所需的总纠缠最少。然后，我们在最佳纠缠成本上介绍下限和上限，并为零最佳纠缠成本提供条件。基于这些结果，我们发现三个或更多用户的量子状态旋转任务与量子状态交换任务之间存在区别。
Quantum state exchange is a quantum communication task for two users in which the users faithfully exchange their respective parts of an initial state under the asymptotic scenario. In this work, we generalize the quantum state exchange task to a quantum communication task for $M$ users in which the users circularly transfer their respective parts of an initial state. We assume that every pair of users may share entanglement resources, and they use local operations and classical communication in order to perform the task. We call this generalized task the (asymptotic) quantum state rotation. First of all, we formally define the quantum state rotation task and its optimal entanglement cost, which means the least amount of total entanglement required to carry out the task. We then present lower and upper bounds on the optimal entanglement cost, and provide conditions for zero optimal entanglement cost. Based on these results, we find out a difference between the quantum state rotation task for three or more users and the quantum state exchange task.
