We address the problem of distributed multi-party purity distillation (PD) involving three parties in the one-shot regime. By obtaining a one-shot inner bound for the distributed instrument simulation problem that naturally generalizes to the best known asymptotic inner bound, and combining with a recent one-shot single party local purity concentration protocol, we design a one-shot multi-party PD protocol, analyze performance and derive a new inner bound. The derived inner bound naturally generalizes to the best known asymptotic inner bound.

翻译：我们研究了单次机制下涉及三方的分布式多方纯度蒸馏问题。通过获得分布式仪器模拟问题的单次内界，该内界自然地推广至已知的最佳渐近内界，并结合近期提出的单次单方局部纯度浓缩协议，我们设计了一种单次多方纯度蒸馏协议，分析了其性能并推导出一个新的内界。该推导出的内界自然地推广至已知的最佳渐近内界。