标题： 量子反芝诺悖论 显示英文标题

标题： A Quantum Anti-Zeno Paradox

摘要： 我们为描述连续时间的时间相关测量算符建立了精确的微分方程，并得到了级数解。 假设投影算符 $E(t) = U(t) E U^\dagger(t)$ 从 t = 0 到 T 进行连续测量，其中 E 是保持初始状态不变的投影算符，U(t) 是满足 U(0) = 1 和 t 的某些光滑性条件的幺正算符。我们证明了从 t = 0 到 T 始终找到 E(t) = 1 的概率为 1。 如果 $U(t) \neq 1$，被监视的水壶肯定会“沸腾”。 显示英文摘要

摘要： We establish an exact differential equation for the operator describing time-dependent measurements continuous in time and obtain a series solution. Suppose the projection operator $E(t) = U(t) E U^\dagger(t)$ is measured continuously from t = 0 to T, where E is a projector leaving the initial state unchanged and U(t) a unitary operator obeying U(0) = 1 and some smoothness conditions in t. We prove that the probability of always finding E(t) = 1 from t = 0 to T is unity. If $U(t) \neq 1$, the watched kettle is sure to `boil'.