论文标题
使用高斯探针估算两个共轭参数的可访问精度
Accessible precisions for estimating two conjugate parameters using Gaussian probes
论文作者
论文摘要
我们使用高斯探针分析了位移通道中一对共轭参数的同时估计的精度限制。我们以一组挤压状态作为初始资源，计算holevocramér-rao必须研究最佳可实现的估计精确度，如果仅允许被动线性操作在探测通道之前在资源上执行。该分析揭示了最佳测量方案，并允许我们在固定第二个共轭参数的精度时量化一个参数的最佳精度。为了以相等的精度估算共轭参数对，我们的分析表明，最佳探针是通过将两个挤压状态与50:50梁分离器上的正交挤压四分法相结合而获得的。如果每个参数都附加了不同的重要性，则最佳混合比不再是50:50。相反，它遵循可用挤压的简单函数以及两个参数之间的相对重要性。
We analyse the precision limits for simultaneous estimation of a pair of conjugate parameters in a displacement channel using Gaussian probes. Having a set of squeezed states as an initial resource, we compute the Holevo Cramér-Rao bound to investigate the best achievable estimation precisions if only passive linear operations are allowed to be performed on the resource prior to probing the channel. The analysis reveals the optimal measurement scheme and allows us to quantify the best precision for one parameter when the precision of the second conjugate parameter is fixed. To estimate the conjugate parameter pair with equal precision, our analysis shows that the optimal probe is obtained by combining two squeezed states with orthogonal squeezing quadratures on a 50:50 beam splitter. If different importance are attached to each parameter, then the optimal mixing ratio is no longer 50:50. Instead it follows a simple function of the available squeezing and the relative importance between the two parameters.
