论文标题
具有有界能量的量子状态集的极端点
Extreme points of the set of quantum states with bounded energy
论文作者
论文摘要
我们表明，对于任何可观察到的能量的能量，具有有界能量的量子状态的每个极端是纯状态。这使我们能够以有界能量状态的连续凸组合来编写每个状态。此外，我们证明，具有有限能量的任何量子状态都可以表示为具有相同能量的纯状态的连续凸组合。我们讨论了量子信息理论中的示例。
We show that for any energy observable every extreme point of the set of quantum states with bounded energy is a pure state. This allows us to write every state with bounded energy in terms of a continuous convex combination of pure states of bounded energy. Furthermore, we prove that any quantum state with finite energy can be represented as a continuous convex combination of pure states with the same energy. We discuss examples from quantum information theory.
