Production of quantum states exhibiting a high degree of entanglement out of noisy conditions is one of the main goals of quantum information science. Here, we provide a conditional yet efficient entanglement distillation method which functions within the framework of spatially localized operations and classical communication. This method exploits indistinguishability effects due to the spatial overlap between two identical qubits in distinct sites and encompasses particle statistics imprint. We derive the general conditions for the maximum entanglement distillation out of mixed states. As applications, we give a thorough description of distilled entanglement and associated success probability starting from typical noisy states, such as thermal Gibbs states and Werner states. The influence of local temperatures and of a noise parameter is discussed, respectively, in these two cases. The proposed scheme paves the way towards quantum repeaters in composite networks made of controllable identical quantum particles.

中文翻译：

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不可区分性辅助的双量子位纠缠蒸馏

在噪声条件下产生表现出高度纠缠的量子态是量子信息科学的主要目标之一。在这里，我们提供了一种有条件但有效的纠缠蒸馏方法，该方法在空间局部化操作和经典通信的框架内发挥作用。该方法利用了由于不同位点中两个相同量子位之间的空间重叠而导致的不可区分效应，并包含粒子统计印记。我们从混合态中推导出最大纠缠蒸馏的一般条件。作为应用，我们从典型的噪声态（例如热吉布斯态和沃纳态）开始，对蒸馏纠缠和相关​​的成功概率进行了全面的描述。在这两种情况下，分别讨论了局部温度和噪声参数的影响。所提出的方案为由可控相同量子粒子组成的复合网络中的量子中继器铺平了道路。