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arXiv 1401.6945quant-phmath-phmath.MP
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基于解耦定理的量子协议的有效可扩展性

Efficient achievability for quantum protocols using decoupling theorems

Christoph Hirche, Ciara Morgan

摘要:

在量子香农理论中,证明协议的可验证性通常不考虑协议实现目标的效率。然而,已知的是,诸如相干状态合并之类的协议可以以最佳速率有效地实现。我们的目标是进一步调查这一事实,在一般的一次性设置,通过考虑某些类的解耦定理,并给出这些类的确切利率。此外,我们比较结果的一般解耦定理使用Haar分布酉那些使用较小的运营商,特别是$ε$ -近似2-设计。我们还观察了我们的利率在特殊情况下,如$ε$接近零和渐近极限的行为。

英文摘要:

Proving achievability of protocols in quantum Shannon theory usually does not consider the efficiency at which the goal of the protocol can be achieved. Nevertheless it is known that protocols such as coherent state merging are efficiently achievable at optimal rate. We aim to investigate this fact further in a general one-shot setting, by considering certain classes of decoupling theorems and give exact rates for these classes. Moreover we compare results of general decoupling theorems using Haar distributed unitaries with those using smaller sets of operators, in particular $ε$-approximate 2-designs. We also observe the behavior of our rates in special cases such as $ε$ approaching zero and the asymptotic limit.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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