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arXiv 2407.01693quant-ph
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在半设备无关框架下检测量子资源

Detecting quantum resources in a semi-device independent framework

Shubhayan Sarkar, Chandan Datta

备注：
9 pages, 1 Figure, Comments are welcome!!
发表信息：
Phys. Rev. A 111, L040402 (2025)
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AI总结：

本文提出在半设备无关框架下通过制备-测量场景检测量子资源，证明当自由态或自由操作线性无关数少于 $d^2$ 时存在可检测关联，并显式构造见证算符。

摘要：

我们研究是否可以在某些操作性任务中检测到量子资源的存在，或者等价地说，是否每一种量子资源都在某些对设备信息了解不多的黑盒场景中相对于其自由对应物提供优势。对于任意维度 $d$，我们发现，对于任何自由态或自由操作的线性无关数量少于 $d^2$ 的资源理论，都存在能够检测量子资源存在的关联。为此，我们通过考虑制备-测量场景，并限制连接制备盒与测量盒的量子信道维度，引入了半设备无关地检测量子资源的框架。然后，我们显式构造见证算符来观测各种量子资源的存在。我们期望这些结果将为在一般操作性任务中检测和发现量子资源的用途开辟途径。

英文摘要：

We investigate whether one can detect the presence of a quantum resource in some operational task or equivalently whether every quantum resource provides an advantage over its free counterpart in some black box scenarios where one does not have much information about the devices. For any dimension $d$, we find that for any resource theory with less than $d^2$ number of linearly independent free states or free operations, there exist correlations that can detect the presence of a quantum resource. For this purpose, we introduce the framework for detecting quantum resources semi-device independently by considering the prepare-and-measure scenario with the restriction on the dimension of the quantum channel connecting the preparation box with the measurement box. We then explicitly construct witnesses to observe the presence of various quantum resources. We expect these results will open avenues for detecting and finding uses of quantum resources in general operational tasks.

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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