论文标题

量子测量结果作为资源的数量

Number of quantum measurement outcomes as a resource

论文作者

Shi, Weixu, Tang, Chaojing

论文摘要

最近,关于量子测量的资源理论取得了成果。在这里,我们将测量结果的数量作为一种资源。我们将资源的鲁棒性视为半准积极计划。它的双重问题证实,如果无法通过一组较小数量的结果来模拟测量,则存在一项状态歧视任务,在该任务中,它可以胜过整个集合。在某些条件下可以饱和的这种优势的上限被得出。我们还表明,揭示优势的可能任务不仅限于状态歧视,而且可能更加笼统。

Recently there have been fruitful results on resource theories of quantum measurements. Here we investigate the number of measurement outcomes as a kind of resource. We cast the robustness of the resource as a semi-definite positive program. Its dual problem confirms that if a measurement cannot be simulated by a set of smaller number of outcomes, there exists a state discrimination task where it can outperforms the whole latter set. An upper bound of this advantage that can be saturated under certain condition is derived. We also show that the possible tasks to reveal the advantage are not restricted to state discrimination and can be more general.

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