Quantum states as countable convex combination of pure states with bounded energy
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913421110280192 |
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| author | Lopez, Juan Pablo |
| author_facet | Lopez, Juan Pablo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_05950 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum states as countable convex combination of pure states with bounded energy Lopez, Juan Pablo Mathematical Physics Quantum Physics 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. |
| title | Quantum states as countable convex combination of pure states with bounded energy |
| topic | Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2407.05950 |