论文标题
量子互联网动态调度的线性代数框架
A Linear Algebraic Framework for Quantum Internet Dynamic Scheduling
论文作者
论文摘要
未来的量子互联网旨在通过共享端到端纠缠的遥远节点之间的量子通信,这是许多量子应用程序的通用资源。与古典网络一样,量子网络还必须以足够的速度解决与服务路由和满意度相关的问题。我们在这里处理计划的问题,何时必须通过基于第一代量子中继器或量子开关的量子网络提供多种商品。为此,我们引入了一个新颖的离散时间代数模型,用于任意网络拓扑,包括传输和内存丢失,并适合动态调度决策。我们的代数模型允许调度程序使用临时中间链接的存储来优化性能,具体取决于信息可用性,从集中调度程序的完整全局信息到分布式信息的部分本地信息。作为一个说明性的示例,我们将简单的贪婪调度策略与几个最大启发的调度策略进行了比较,并通过网络为两个竞争的客户提供了可实现的速率区域。
Future quantum internet aims to enable quantum communication between arbitrary pairs of distant nodes through the sharing of end-to-end entanglement, a universal resource for many quantum applications. As in classical networks, quantum networks also have to resolve problems related to routing and satisfaction of service at a sufficient rate. We deal here with the problem of scheduling when multiple commodities must be served through a quantum network based on first generation quantum repeaters, or quantum switches. To this end, we introduce a novel discrete-time algebraic model for arbitrary network topology, including transmission and memory losses, and adapted to dynamic scheduling decisions. Our algebraic model allows the scheduler to use the storage of temporary intermediate links to optimize the performance, depending on the information availability, ranging from full global information for a centralized scheduler to partial local information for a distributed one. As an illustrative example, we compare a simple greedy scheduling policy with several Max-Weight inspired scheduling policies and illustrate the resulting achievable rate regions for two competing pairs of clients through a network.