{
  "annotation_id": "557a5a55-70fa-42c7-966a-065b39a015a3",
  "date_created": "2026-02-17T05:53:23.731000Z",
  "date_modified": "2026-02-17T05:53:23.731000Z",
  "file_hash": "a9e98f2b4536e3bfa22825039f6167676ae2672e9427d5636bbc6909310e67d4",
  "private": false,
  "record": {
    "abstract": "Product code construction is a powerful tool for constructing quantum stabilizer codes, which serve as a promising paradigm for realizing fault-tolerant quantum computation. Furthermore, the natural mapping between stabilizer codes and the ground states of exactly solvable spin models also motivates the exploration of many-body orders in the stabilizer codes. In this work, we investigate the fracton topological orders in a family of codes obtained by a recently proposed general construction. More specifically, this code family can be regarded as a class of generalized hypergraph product (HGP) codes. We term the corresponding exactly solvable spin models \\textit{orthoplex models}, based on the geometry of the stabilizers. In the 3D orthoplex model, we identify a series of intriguing properties within this model family, including non-monotonic ground state degeneracy (GSD) as a function of system size and non-Abelian lattice defects. Most remarkably, in 4D we discover \\textit{fragmented topological excitations}: while such excitations manifest as discrete, isolated points in real space, their projections onto lower-dimensional subsystems form connected objects such as loops, revealing the intrinsic topological nature of these excitations. Therefore, fragmented excitations constitute an intriguing intermediate class between point-like and spatially extended topological excitations. In addition, these rich features establish the generalized HGP codes as a versatile and analytically tractable platform for studying the physics of fracton orders.",
    "arxiv_id": "2601.09850",
    "authors": [
      "Meng-Yuan Li",
      "Yue Wu"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.str-el",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Fragmented Topological Excitations in Generalized Hypergraph Product Codes",
    "url": "https://arxiv.org/abs/2601.09850",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9921307d-b04a-42db-9bea-0585566a3ee7",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}