论文标题

一声纯度蒸馏,与当地嘈杂的操作和单向古典交流

One-shot purity distillation with local noisy operations and one-way classical communication

论文作者

Chakraborty, Sayantan, Nema, Aditya, Buscemi, Francesco

论文摘要

当地纯状态代表量子信息理论中的基本资源。在这项工作中,我们在单方面和两党案例中获得了局部纯度蒸馏速率的一声界限。在这两种情况下,本地嘈杂的操作都可以自由使用,而在两党案例中,也可以使用单向古典交流。此外,在两种情况下,只要从最终的蒸馏速率中折扣就可以借用当地纯的Ancillas。我们获得的单发率是根据相互信息样数量编写的,被证明是在渐近i.i.d.的极限内恢复的。 Devetak [PRA,2005年]的率,直至一阶分析。

Local pure states represent a fundamental resource in quantum information theory. In this work we obtain one-shot achievable bounds on the rates for local purity distillation, in the single-party and in the two-party cases. In both situations, local noisy operations are freely available, while in the two-party case also one-way classical communication can be used. In addition, in both situations local pure ancillas can be borrowed, as long as they are discounted from the final net rate of distillation. The one-shot rates that we obtain, written in terms of mutual information-like quantities, are shown to recover in the limit the asymptotic i.i.d. rates of Devetak [PRA, 2005], up to first order analysis.

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