Quantum states as countable convex combination of pure states with bounded energy
Mathematical Physics
2024-07-09 v1 math.MP
Quantum Physics
Abstract
We give response to the question: in infinite dimension states,given a state with energy bounded by E, we can write the state as a countable convex combination of pure states with energy bounded by E. We review the Alicki-Fannes-Winter technique to obtain a uniform continuity bound for the von Neumann entropy in states that are a mix of pure states with bounded energy, using this bound we conclude that for a Hamiltonian satisfying the Gibb's hypothesis such states cannot exist.
Cite
@article{arxiv.2407.05950,
title = {Quantum states as countable convex combination of pure states with bounded energy},
author = {Juan Pablo Lopez},
journal= {arXiv preprint arXiv:2407.05950},
year = {2024}
}