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Leg-Tied Tensor Network States: Entanglement Beyond Virtual Bonds — arXiv:2609.30101

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.30101
License (as archived): CC0-1.0
Archived: 2026-10-08T07:36:57.769Z
SHA-256 of the archived text: e02a350b998be61a1e4ce215860d1ef65f97c446eaab93e413c7aa5e3f991931
Stable URL of this page: https://metraipolis.com/documento/dc_af7cd4adaa42

How to cite

Leg-Tied Tensor Network States: Entanglement Beyond Virtual Bonds — arXiv:2609.30101 — arXiv (en), https://arxiv.org/abs/2609.30101 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_af7cd4adaa42 (Metraipolis archive dc_af7cd4adaa42, sha256 e02a350b998be61a1e4ce215860d1ef65f97c446eaab93e413c7aa5e3f991931)

BibTeX

@misc{dcaf7cd4adaa42,
  title = {Leg-Tied Tensor Network States: Entanglement Beyond Virtual Bonds — arXiv:2609.30101},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.30101},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_af7cd4adaa42; sha256 e02a350b998be61a1e4ce215860d1ef65f97c446eaab93e413c7aa5e3f991931},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.30101. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We introduce a class of tensor-network states in which physical legs are shared among local tensors, termed leg-tied tensor ansätze (LETTA). Physical leg ties encode long-range correlations directly, while a virtual matrix product state (MPS) backbone retains short-range multipartite entanglement. The linear virtual backbone allows us to develop a deterministic density matrix renormalization group-like variational optimization algorithm using exact contractions over the active tie-boundary sets and local minimization. We demonstrate the advantages of LETTA for the two-dimensional frustrated $J_1$--$J_2$ Heisenberg model and the three-dimensional transverse-field Ising model. Our results show that LETTA is substantially more accurate than same-bond-dimension MPS calculations and can typically reach the accuracy of much larger MPS calculations using one order of magnitude fewer variational parameters. LETTA thus opens the door for explicitly correlated tensor-network states that can encode long-range correlation beyond virtual bonds.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-25 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph) ; Strongly Correlated Electrons (cond-mat.str-el).
Pagina del lavoro: https://arxiv.org/abs/2609.30101 — 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 2026-10-08T06:49:21.267Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-09-25?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).