有序量子鉴别问题的证明答案
Certified answers for ordered quantum discrimination problems
摘要：
研究了具有内禀有序的线性独立纯态的量子态鉴别问题。这种结构化的歧视问题允许一种新的方案，提供了一个认证的错误水平，也就是说，答案，永远不会偏离真实值超过指定的距离，因此控制所需的质量的结果。我们得到了一个有效的半定规划，也找到了一个一般的下界有效的任何误差距离，只需要最佳的最小误差计划的知识。我们将所得结果应用于量子变点和量子态异常检测的情形。
英文摘要：
We investigate the quantum state discrimination task for sets of linear independent pure states with an intrinsic ordering. This structured discrimination problems allow for a novel scheme that provides a certified level of error, that is, answers that never deviate from the true value more than a specified distance and hence a control of the desired quality of the results. We obtain an efficient semidefinite program and also find a general lower bound valid for any error distance that only requires the knowledge of optimal minimum error scheme. We apply our results to the quantum change point and quantum state anomaly detection cases.
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。
