Pith Number

pith:TYCPW6OS

pith:2025:TYCPW6OSFXWFIKVTOYDDSIPIF2

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Diagonal Isometric Form for Tensor Network States in Two Dimensions

Benjamin Sappler, Frank Pollmann, Masataka Kawano, Michael P Zaletel

Incorporating auxiliary tensors creates a diagonal isometric form for two-dimensional tensor product states that supports stable TEBD simulations.

arxiv:2507.08080 v3 · 2025-07-10 · cond-mat.str-el · quant-ph

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\pithnumber{TYCPW6OSFXWFIKVTOYDDSIPIF2}

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4 Citations open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

Our results demonstrate that isoTPS can efficiently capture the entanglement structure of two-dimensional area law states. The short-time dynamics is also accurately reproduced even at the critical point.

C2weakest assumption

That auxiliary tensors can be incorporated to represent the orthogonality hypersurface while preserving the isometric properties required for stable and accurate TEBD contractions in two dimensions.

C3one line summary

A new diagonal isometric representation for 2D isoTPS enables efficient TEBD computation of area-law states and short-time dynamics in the transverse-field Ising model.

Cited by

1 paper in Pith

Holographic Representation of One-Dimensional Many-Body Quantum States via Isometric Tensor Networks

Receipt and verification

First computed	2026-06-23T01:12:46.356293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e04fb79d22dec542ab376063921e82ea488f4c99d0ee959c0ff7f4ca9dc7f22

Aliases

arxiv: 2507.08080 · arxiv_version: 2507.08080v3 · doi: 10.48550/arxiv.2507.08080 · pith_short_12: TYCPW6OSFXWF · pith_short_16: TYCPW6OSFXWFIKVT · pith_short_8: TYCPW6OS

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TYCPW6OSFXWFIKVTOYDDSIPIF2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9e04fb79d22dec542ab376063921e82ea488f4c99d0ee959c0ff7f4ca9dc7f22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acbe112a402c825cef7c5167bb153e2fee0f44bc01393065853644bf0dcd5171",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2025-07-10T18:00:03Z",
    "title_canon_sha256": "320f82a9fb3b48645bb9f335b72386c3bcd3389b1acbb34f6149d6df4bb70b11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08080",
    "kind": "arxiv",
    "version": 3
  }
}