净化和可逆物理过程
Purifying and Reversible Physical Processes
摘要：
从观察到可逆过程不能增加任何输入状态的纯度开始，我们研究确定性物理过程，它将一组状态映射到一组纯状态。如果所有状态的输入集都要求纯度，那么这样的过程必须将任何状态映射到相同的纯输出。但是，当输入集被限制时，有可能找到非平凡的净化过程。对于最严格的情况下，只有两个输入状态，我们完全描述了任何这样的地图的输出。此外，我们考虑地图，结合属性的纯度和可逆性的一组状态，我们得出的必要和充分条件集，允许这样的过程。
英文摘要：
Starting from the observation that reversible processes cannot increase the purity of any input state, we study deterministic physical processes, which map a set of states to a set of pure states. Such a process must map any state to the same pure output, if purity is demanded for the input set of all states. But otherwise, when the input set is restricted, it is possible to find non-trivial purifying processes. For the most restricted case of only two input states, we completely characterize the output of any such map. We furthermore consider maps, which combine the property of purity and reversibility on a set of states, and we derive necessary and sufficient conditions on sets, which permit such processes.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
