Coherence distillation and dilution are two core problems in the manipulation of quantum resources. In this paper, we propose deterministic coherent distillation and dilution protocols, which fully demonstrate the change from the pure state to the maximum coherent state and vice versa. Our protocols can reach the theoretical value introduced in the upper bound proposed by Liu et al recently [Liu C L and Zhou D L Phys. Rev. Lett. 123 070 402 (2019)]. In particular, we propose pure distillation and dilution protocols through the majorization of the relation, which can be obtained by using the strictlyincoherent operators.

中文翻译：

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确定性相干蒸馏和纯态稀释的协议

相干蒸馏和稀释是量子资源操纵中的两个核心问题。在本文中，我们提出了确定性的相干蒸馏和稀释方案，这些方案充分证明了从纯态到最大相干态的变化，反之亦然。我们的协议可以达到Liu等人最近提出的上限[Liu CL and Zhou DL Phys。莱特牧师 123070402（2019）]。特别是，我们通过关系的最大化提出了纯蒸馏和稀释方案，可以通过使用严格不相干的运算符来获得。