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Von Neumann's Two Quantum Entropies — arXiv:2609.30284

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.30284
License (as archived): CC0-1.0
Archived: 2026-10-08T03:46:48.767Z
SHA-256 of the archived text: 180de170bc630537be16ddfdec656e09947c8c539f87832c8193b7083cbfcc34
Stable URL of this page: https://metraipolis.com/documento/dc_2eae1fb2ca12

How to cite

Von Neumann's Two Quantum Entropies — arXiv:2609.30284 — arXiv (en), https://arxiv.org/abs/2609.30284 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_2eae1fb2ca12 (Metraipolis archive dc_2eae1fb2ca12, sha256 180de170bc630537be16ddfdec656e09947c8c539f87832c8193b7083cbfcc34)

BibTeX

@misc{dc2eae1fb2ca12,
  title = {Von Neumann's Two Quantum Entropies — arXiv:2609.30284},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.30284},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_2eae1fb2ca12; sha256 180de170bc630537be16ddfdec656e09947c8c539f87832c8193b7083cbfcc34},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.30284. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Von Neumann proposed two quantum entropies, one in 1927 and the other in 1929. He intended to define thermodynamic entropy for quantum states in both cases. The 1927 entropy is the well-known von Neumann entropy, which is zero for all pure states. The 1929 entropy, which is nonzero for almost all pure states, has largely been ignored. After reviewing the history and properties of both entropies, we argue that the 1927 entropy is not thermodynamic entropy and should be used simply as a measure of entanglement, whereas the 1929 entropy is the true thermodynamic entropy for quantum states.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-28 in quant-ph).
Categorie arXiv: Statistical Mechanics (cond-mat.stat-mech) ; Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2609.30284 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-08T03:14:19.176Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-09-28?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).