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pith:KMLHOU5X

pith:2026:KMLHOU5XUNI7OXDS5JGP2SZBNH
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Ground state preparation in $(2+1)$-dimensional pure $\mathbb{Z}_2$ lattice gauge theory via deterministic quantum imaginary time evolution

Lento Nagano, Minoru Sekiyama

Deterministic quantum imaginary time evolution prepares the ground state of a 2+1-dimensional Z2 lattice gauge theory with relative error below 0.1 percent up to twelve plaquettes.

arxiv:2604.17874 v3 · 2026-04-20 · hep-lat · hep-th · quant-ph

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\usepackage{pith}
\pithnumber{KMLHOU5XUNI7OXDS5JGP2SZBNH}

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Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications 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

the deterministic QITE can achieve a relative error of less than 0.1% up to a twelve-plaquette system and coupling values in a regime that we study.

C2weakest assumption

The classical tensor-network simulation accurately captures the performance and error scaling of the actual quantum algorithm without introducing artifacts from the classical approximation or truncation.

C3one line summary

Deterministic QITE made gauge-invariant via commuting Pauli operators achieves relative error below 0.1 percent for ground-state preparation in 2+1D Z2 LGT on systems up to twelve plaquettes, as shown by tensor-network simulations benchmarked against DMRG.

Receipt and verification
First computed 2026-07-23T01:23:35.733635Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

53167753b7a351f75c72ea4cfd4b2169c78c5b6394375ea10a7a18acffbdf244

Aliases

arxiv: 2604.17874 · arxiv_version: 2604.17874v3 · doi: 10.48550/arxiv.2604.17874 · pith_short_12: KMLHOU5XUNI7 · pith_short_16: KMLHOU5XUNI7OXDS · pith_short_8: KMLHOU5X
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KMLHOU5XUNI7OXDS5JGP2SZBNH \
  | 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: 53167753b7a351f75c72ea4cfd4b2169c78c5b6394375ea10a7a18acffbdf244
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0519809d85c513509f494bccb37a96b8eaeaa893f27ab2d36bd30f0ea65e94f8",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2026-04-20T06:37:05Z",
    "title_canon_sha256": "b790fa878839452d00dc57f1bf15d932b1ee386c15d6c8a72b49be607054aae9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.17874",
    "kind": "arxiv",
    "version": 3
  }
}