论文标题
熵时间能量不确定性关系：代数方法
Entropic time-energy uncertainty relations: An algebraic approach
论文作者
论文摘要
我们解决了时间和能源之间的熵不确定性关系，或者更确切地说，可观察到的$ g $的测量与$ g $生成的进化$ e^{ - ir g} $之间的位移$ r $之间。我们在两个经常考虑的方案中得出了熵不确定性的下限，可以将其说明为两个不同的猜测游戏，其中猜测者的作用是否固定。特别是，我们对第一款游戏的界限提高了Cole等人的先前结果。我们的推论用作亚条件是一种最近提出的新型小说代数方法，通常可以用来得出更广泛的熵不确定性原理。
We address entropic uncertainty relations between time and energy or, more precisely, between measurements of an observable $G$ and the displacement $r$ of the $G$-generated evolution $e^{-ir G}$. We derive lower bounds on the entropic uncertainty in two frequently considered scenarios, which can be illustrated as two different guessing games in which the role of the guessers are fixed or not. In particular, our bound for the first game improves the previous result by Coles et al.. Our derivation uses as a subroutine a recently proposed novel algebraic method, which can in general be used to derive a wider class of entropic uncertainty principles.
