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Robust entanglement distribution via quantum network coding

机译:通过量子网络编码进行稳健的纠缠分布

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Many protocols of quantum information processing, like quantum key distribution or measurement-based quantum computation, 'consume' entangled quantum states during their execution. When participants are located at distant sites, these resource states need to be distributed. Due to transmission losses quantum repeater become necessary for large distances (e.g. ). Here we generalize the concept of the graph state repeater to D-dimensional graph states and to repeaters that can perform basic measurement-based quantum computations, which we call quantum routers. This processing of data at intermediate network nodes is called quantum network coding. We describe how a scheme to distribute general two-colourable graph states via quantum routers with network coding can be constructed from classical linear network codes. The robustness of the distribution of graph states against outages of network nodes is analysed by establishing a link to stabilizer error correction codes. Furthermore we show, that for any stabilizer error correction code there exists a corresponding quantum network code with similar error correcting capabilities.
机译:量子信息处理的许多协议(例如量子密钥分发或基于测量的量子计算)在执行过程中“消耗”纠缠的量子状态。当参与者位于遥远的站点时,需要分配这些资源状态。由于传输损耗,量子中继器对于长距离(例如)成为必需。在这里,我们将图状态转发器的概念概括为D维图状态以及可以执行基于基本测量的量子计算的转发器,我们将其称为量子路由器。中间网络节点上的数据处理称为量子网络编码。我们描述了如何通过经典的线性网络代码构造一种通过具有网络编码的量子路由器来分配一般的两色图状态的方案。通过建立到稳定器纠错码的链接,可以分析图状态分布对网络节点中断的鲁棒性。此外,我们表明,对于任何稳定器纠错码,都存在具有类似纠错能力的相应量子网络码。

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