量子系统中信息增益速率极限的含时Tsirelson界
A time-dependent Tsirelson's bound from limits on the rate of information gain in quantum systems
摘要：
我们考虑的问题，区分一组任意的量子态中的设置，可用于执行测量的时间是有限的。我们提供了简单的上限，以及我们可以在给定的时间内执行状态歧视的函数的平均能量或测量过程中可用的能量范围。我们展示了一个特定的策略，几乎达到这个界限。最后，我们考虑我们的结果的几个应用。首先，我们得到了一个时间依赖的Tsirelson的界限，限制了原则上可以证明在给定的时间t的贝尔不等式违反的程度。其次，在考虑区分正交纯态的特殊情况下，我们得到了一个Margolus-Levitin型界。
英文摘要：
We consider the problem of distinguishing between a set of arbitrary quantum states in a setting in which the time available to perform the measurement is limited. We provide simple upper bounds on how well we can perform state discrimination in a given time as a function of either the average energy or the range of energies available during the measurement. We exhibit a specific strategy that nearly attains this bound. Finally, we consider several applications of our result. First, we obtain a time-dependent Tsirelson's bound that limits the extent of the Bell inequality violation that can be in principle be demonstrated in a given time t. Second, we obtain a Margolus-Levitin type bound when considering the special case of distinguishing orthogonal pure states.
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