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Quantum Information at Infinity — arXiv:2608.27498

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.27498
License (as archived): CC0-1.0
Archived: 2026-10-17T11:58:14.443Z
SHA-256 of the archived text: 3e2434003411c7a59c703c86a9eb69daea1e57e7625ca1ba01809363b1e3370f
Stable URL of this page: https://metraipolis.com/documento/dc_eb552cee2345

How to cite

Quantum Information at Infinity — arXiv:2608.27498 — arXiv (en), https://arxiv.org/abs/2608.27498 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_eb552cee2345 (Metraipolis archive dc_eb552cee2345, sha256 3e2434003411c7a59c703c86a9eb69daea1e57e7625ca1ba01809363b1e3370f)

BibTeX

@misc{dceb552cee2345,
  title = {Quantum Information at Infinity — arXiv:2608.27498},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.27498},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_eb552cee2345; sha256 3e2434003411c7a59c703c86a9eb69daea1e57e7625ca1ba01809363b1e3370f},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.27498. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We introduce the Quantum Information Space at Infinity (Quinfinity) $\mathcal{Q}_\infty$ as the inverse limit of the symbolic Quantum $N$-Spaces $\mathcal{Q}_N$, identified with the complete local real algebra of formal power series under the adic topology. The pure state pro-variety is formalized as the inverse limit of $N$-level pure state varieties, driven by the algebraic colimit of a direct system of real radical ideals. This real architecture internalizes the imaginary unit, collapsing the metric landscapes onto an invariant Riemannian isometry, which identifies the pro-variety directly with the classical Fisher-Rao statistical manifold. Within this framework, the Heisenberg uncertainty principle undergoes a structural regularization at infinity being intrinsically manifested as a localized truncation obstruction governed by adic algebraic derivations. Concurrently, the continuous Liouville-von Neumann equation operates as an internal derivation tangent to the pro-variety, while the open Gorini-Kossakowski-Sudarshan-Lindblad asymptotic master equation is intrinsically obtained via a non-associative symmetric Jordan product. This dissipative flow acts as a contracting radial vector field that dampens higher-order jet configurations, driving the state trajectories down the hierarchical tree toward the absolute zero element as a non-singular universal attractor.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-08-31 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph) ; Mathematical Physics (math-ph); Algebraic Geometry (math.AG); Quantum Algebra (math.QA).
Pagina del lavoro: https://arxiv.org/abs/2608.27498 — 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 2026-10-17T11:28:37.482Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-08-31?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).