论文标题
基于量子状态的不稳定结构的局部近似值降低盲量量子数据压缩的速率
Rate Reduction of Blind Quantum Data Compression with Local Approximations Based on Unstable Structure of Quantum States
论文作者
论文摘要
在本文中，我们为数据压缩任务，盲量量子数据压缩和有限的本地近似值提出了一个新协议。即使近似值较小，盲数据压缩的速率也容易受到近似的影响。这种不稳定性源自量子状态的结构对近似值的敏感性，这使得在近似值存在的情况下分析了盲人压缩。在本文中，我们构建了一项协议，该方案利用不稳定的能力大大降低了压缩率。我们的协议显示了我们检查的特定示例的速率显着降低。此外，我们将方法应用于对角线状态，并在此特殊情况下提出了两种类型的近似方法。我们执行数值实验，并观察到这两种近似方法之一的性能明显好于另一个。因此，我们的分析迈出了对盲量量子数据压缩的一般研究的第一步，并允许近似值进一步研究盲量量子数据压缩的近似值折叠。
In this paper, we propose a new protocol for a data compression task, blind quantum data compression, with finite local approximations. The rate of blind data compression is susceptible to approximations even when the approximations are diminutive. This instability originates from the sensitivity of a structure of quantum states against approximations, which makes the analysis of blind compression in the presence of approximations intractable. In this paper, we constructed a protocol that takes advantage of the instability to reduce the compression rate substantially. Our protocol shows a significant reduction in rate for specific examples we examined. Moreover, we apply our methods to diagonal states, and propose two types of approximation methods in this special case. We perform numerical experiments and observe that one of these two approximation methods performs significantly better than the other. Thus, our analysis makes a first step toward general investigation of blind quantum data compression with the allowance of approximations towards further investigation of approximation-rate trade-off of blind quantum data compression.
