论文标题
在每个最小不确定性状态下，线性位置测量值最小误差扰动
Linear position measurements with minimum error-disturbance in each minimum uncertainty state
论文作者
论文摘要
在量子理论中，测量过程是一个重要的物理过程。它是对感兴趣系统与测量设备之间相互作用的量子描述。误差和干扰用于定量检查测量的性能，并通过使用测量过程来定义。不确定性关系是关系的一般术语，并积极研究它们。但是，尚不清楚用于位置测量的真正错误扰动。在这里，我们在每个最小不确定性状态下具有最小误差扰动的构造线性位置测量值。我们专注于用于位置测量值的错误扰动关系（EDR），称为Branciard-Ozawa EDR。它基于量子均值平方（Q-RMS）误差和Q-RMS干扰。我们显示的定理为线性位置测量提供了必要和足够的条件，以在最小不确定性状态下实现其下限，并明确地提供可解决的线性位置测量值，从而实现其在该州的下限。然后，我们在使用测量后给出概率分布和状态。预计将来将在更广泛的状态中以最小的错误扰动构建测量值，这将导致对量子限制（包括不确定性关系）的新理解。
In quantum theory, measuring process is an important physical process; it is a quantum description of the interaction between the system of interest and the measuring device. Error and disturbance are used to quantitatively check the performance of the measurement, and are defined by using measuring process. Uncertainty relations are a general term for relations that provide constraints on them, and actively studied. However, the true error-disturbance bound for position measurements is not known yet. Here we concretely construct linear position measurements with minimum error-disturbance in each minimum uncertainty state. We focus on an error-disturbance relation (EDR), called the Branciard-Ozawa EDR, for position measurements. It is based on a quantum root-mean-square (q-rms) error and a q-rms disturbance. We show the theorem that gives a necessary and sufficient condition for a linear position measurement to achieve its lower bound in a minimum uncertainty state, and explicitly give exactly solvable linear position measurements achieving its lower bound in the state. We then give probability distributions and states after the measurement when using them. It is expected to construct measurements with minimum error-disturbance in a broader class of states in the future, which will lead to a new understanding of quantum limits, including uncertainty relations.
