论文标题

带有侧面信息的集中式多链接测量压缩

Centralised multi link measurement compression with side information

论文作者

Chakraborty, Sayantan, Padakandla, Arun, Sen, Pranab

论文摘要

我们证明了对量子仪器的测量量结果的新射击可实现性结果,并在接收器上提供了侧面信息。与此问题的前一击结果不同,我们的一击球几乎是最佳的,不需要催化随机性。实际上,我们陈述了一个更普遍的问题,称为集中式多链接测量压缩,并带有量子侧信息,并为其提供一个射击可实现的结果。作为一种简单的推论,我们获得了量子仪器的一个射击测量压缩结果,并提供了我们前面提到的侧面信息。在渐近IID设置中,我们所有的一击结果都会导致此问题的标准结果。我们首先证明了一种新型的顺序经典量子多部分覆盖引理,这应该具有独立的兴趣,从而证明了我们的可实现性界限。

We prove new one shot achievability results for measurement compression of quantum instruments with side information at the receiver. Unlike previous one shot results for this problem, our one shot bounds are nearly optimal and do not need catalytic randomness. In fact, we state a more general problem called centralised multi link measurement compression with quantum side information and provide one shot achievability results for it. As a simple corollary, we obtain one shot measurement compression results for quantum instruments with side information that we mentioned earlier. All our one shot results lead to the standard results for this problem in the asymptotic iid setting. We prove our achievability bounds by first proving a novel sequential classical quantum multipartite covering lemma, which should be of independent interest.

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