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Geometric Characterization and Feasible Region Analysis of Bipartite Qutrit Bound Entanglement — arXiv:2609.39141

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.39141
License (as archived): CC0-1.0
Archived: 2026-10-07T15:21:14.585Z
SHA-256 of the archived text: 141dd4c04379501900a1821a06189c08fbaa6a4a3b7095c91a29cfa050aebbb6
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How to cite

Geometric Characterization and Feasible Region Analysis of Bipartite Qutrit Bound Entanglement — arXiv:2609.39141 — arXiv (en), https://arxiv.org/abs/2609.39141 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_c8148c7eebbf (Metraipolis archive dc_c8148c7eebbf, sha256 141dd4c04379501900a1821a06189c08fbaa6a4a3b7095c91a29cfa050aebbb6)

BibTeX

@misc{dcc8148c7eebbf,
  title = {Geometric Characterization and Feasible Region Analysis of Bipartite Qutrit Bound Entanglement — arXiv:2609.39141},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.39141},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_c8148c7eebbf; sha256 141dd4c04379501900a1821a06189c08fbaa6a4a3b7095c91a29cfa050aebbb6},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.39141. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We characterize bound entanglement in bipartite qutrit systems by combining the Positive Partial Transpose (PPT) criterion with a structural, non-completely positive map. Focusing on a comprehensive three-parameter bipartite qutrit family $\rho_{a,b,c}$, we present an exact analytical and geometric partitioning of the physical state space simplex. We derive the closed-form quadratic boundary governing the leaf-like PPT region $(a^2+ab+b^2-b \leq 0)$ over the domain $0 < a \leq \frac{1}{3}$, and identify the exact linear threshold $(a > c)$ that characterizes the PPT bound entangled sub-region. This family strictly generalizes the well-known Horodecki bound entangled states, which appear as a single slice of the three-dimensional leaf. Applying the structural map to this decomposition, we show that it certifies bound entanglement throughout the entire threshold region, accounting for $14.76\%$ of the total PPT leaf area.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-10-01 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2609.39141 — 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 2026-10-07T14:53:56.668Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-10-01?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).