{
  "annotation_id": "c366fd98-d775-43fb-83b1-bb402388bf60",
  "date_created": "2026-02-17T05:53:16.031000Z",
  "date_modified": "2026-02-17T05:53:16.031000Z",
  "file_hash": "380a9d390d591eb2a97e4af3977cc762bd3c6adba452f1761cc058ad361dde66",
  "private": false,
  "record": {
    "abstract": "This paper introduces a framework for constructing Calderbank-Shor-Steane (CSS) codes that support fault-tolerant logical transversal $Z$-rotations. Using this framework, we obtain asymptotically good CSS codes that fault-tolerantly realize the logical transversal Clifford group. Furthermore, investigating CSS-T codes, we: (a) demonstrate asymptotically good CSS-T codes wherein the transversal $T$ realizes the logical transversal $S^{\\dagger}$; (b) show that the condition $C_2 \\ast C_1 \\subseteq C_1^{\\perp}$ is necessary but not sufficient for CSS-T codes; and (c) revise the characterizations of CSS-T codes wherein the transversal $T$ implements the logical identity and the logical transversal $T$, respectively.",
    "arxiv_id": "2601.08568",
    "authors": [
      "K. Sai Mineesh Reddy",
      "Navin Kashyap"
    ],
    "categories": [
      "quant-ph",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly",
    "url": "https://arxiv.org/abs/2601.08568",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f42bfc5a-54d9-459c-992e-d8d85d4bf884",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}