未知参数的量子估计
Quantum estimation of unknown parameters
摘要：
我们讨论的问题，找到最佳的测量策略估计的量子系统参数的值。通常，最佳量子测量，在它最大化量子费舍尔信息并因此允许最小化估计误差的意义上，只能在参数的值已知的情况下确定。本文提出了量子Van Trees不等式的一个修正，它给出了随机参数估计误差的一个下界。建议的不等式允许我们断言，如果一个特定的量子测量，连同适当的估计，是最佳的。提出了一种自适应估计参数的策略，基于我们的修正不等式。
英文摘要：
We discuss the problem of finding the best measurement strategy for estimating the value of a quantum system parameter. In general the optimum quantum measurement, in the sense that it maximizes the quantum Fisher information and hence allows one to minimize the estimation error, can only be determined if the value of the parameter is already known. A modification of the quantum Van Trees inequality, which gives a lower bound on the error in the estimation of a random parameter, is proposed. The suggested inequality allows us to assert if a particular quantum measurement, together with an appropriate estimator, is optimal. An adaptive strategy to estimate the value of a parameter, based on our modified inequality, is proposed.
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。
