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One-dimensional quantum Gibbs states in constant circuit depth — arXiv:2609.35973

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.35973
License (as archived): CC0-1.0
Archived: 2026-10-07T19:26:09.782Z
SHA-256 of the archived text: 43c96f04ccdfe4204fbef0a7d080c08a7f89f5bba52485f4b9e1c05d7a6285fc
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How to cite

One-dimensional quantum Gibbs states in constant circuit depth — arXiv:2609.35973 — arXiv (en), https://arxiv.org/abs/2609.35973 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_ca97d41e92b2 (Metraipolis archive dc_ca97d41e92b2, sha256 43c96f04ccdfe4204fbef0a7d080c08a7f89f5bba52485f4b9e1c05d7a6285fc)

BibTeX

@misc{dcca97d41e92b2,
  title = {One-dimensional quantum Gibbs states in constant circuit depth — arXiv:2609.35973},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.35973},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_ca97d41e92b2; sha256 43c96f04ccdfe4204fbef0a7d080c08a7f89f5bba52485f4b9e1c05d7a6285fc},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.35973. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We prove that the Gibbs state of any spin chain can be exactly decomposed into a mixture of product states over contiguous blocks of qubits with bounded length, at any constant temperature. As a consequence, any such Gibbs state can be prepared by local unitary circuits of constant depth, with efficient classical preprocessing. We place strong limits on the spatial structure of thermal entanglement: both the entanglement depth and entanglement width (measures of multiparticle entanglement) are bounded by constants, while the localizable entanglement (the bipartite entanglement that can be generated with the aid of local measurements and classical communication) vanishes exactly beyond a constant threshold distance. Our result also has implications for quantum thermalization: for any translation-invariant spin-chain Hamiltonian with nondegenerate spectral gaps, typical low-complexity pure states drawn from a maximally entropic ensemble at any constant effective temperature become locally indistinguishable from the Gibbs state upon unitary evolution. Additionally, we obtain an analogous decomposition for fermionic systems: the Gibbs state of any 1D local fermionic Hamiltonian is exactly a mixture of constant-depth local fermionic circuits acting on Gaussian states.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-30 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph) ; Statistical Mechanics (cond-mat.stat-mech); Mathematical Physics (math-ph).
Pagina del lavoro: https://arxiv.org/abs/2609.35973 — 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 2026-10-07T18:55:50.475Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-09-30?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).