Extreme points of the set of quantum states with bounded energy
arXiv:2002.03969 · doi:10.1070/RM9942
Abstract
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.
arXiv commentPreliminary version. Any comments and references are welcome
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