(英) |
This paper studies the uncertainty relationship, especially Ozawa inequality, for the class of linear quantum systems, such as linear optics and opto-mechanical systems. Specifically, we focus on the dynamical behavior of the system and evaluate both error and disturbance over time. We then focus on the time when the error has the minimum value, or equivalently, when the maximum information is gained. This allows us to study the violation of Heisenberg's uncertainty relation in the meaningful sense of information gain. |