Pith Number

pith:L72AIOAI

pith:2026:L72AIOAI2HHH4KQL6WCOBQIDCU

not attested not anchored not stored refs pending

Approximate Error Correction for Quantum Simulations of SU(2) Lattice Gauge Theories

Zachary P. Bradshaw

A protocol using mid-circuit measurements and conditional recoveries suppresses gauge violations in quantum simulations of SU(2) lattice gauge theories.

arxiv:2603.26819 v3 · 2026-03-26 · quant-ph · hep-lat

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\pithnumber{L72AIOAI2HHH4KQL6WCOBQIDCU}

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3 Author claim open · sign in to claim

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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

We demonstrate gauge cooling on a single-plaquette simulation of the Kogut-Susskind Hamiltonian truncated to the spin-1/2 representation under depolarizing and amplitude damping noise, showing that the protocol restores gauge invariance and improves fidelity at noise rates representative of current superconducting hardware.

C2weakest assumption

The assumption that mid-circuit measurements can be performed with high enough fidelity and that the dominant noise is captured by depolarizing and amplitude damping models, which may not hold for all hardware errors or larger systems.

C3one line summary

The gauge cooling protocol detects all single-qubit errors via group quantum Fourier transform syndromes at lattice vertices and restores gauge invariance in SU(2) lattice gauge theory simulations, improving fidelity under depolarizing and amplitude damping noise on a single-plaquette Kogut-Susskind

Receipt and verification

First computed	2026-05-21T01:05:18.309436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ff4043808d1ce7e2a0bf584e0c103153d01e6f3983e37c7bc5628f71b41139c

Aliases

arxiv: 2603.26819 · arxiv_version: 2603.26819v3 · doi: 10.48550/arxiv.2603.26819 · pith_short_12: L72AIOAI2HHH · pith_short_16: L72AIOAI2HHH4KQL · pith_short_8: L72AIOAI

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/L72AIOAI2HHH4KQL6WCOBQIDCU \
  | 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: 5ff4043808d1ce7e2a0bf584e0c103153d01e6f3983e37c7bc5628f71b41139c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f710d9d19f1934ad559e03c3115e26ac24bcf661e597bbc7982e82732204e3b",
    "cross_cats_sorted": [
      "hep-lat"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-03-26T21:43:47Z",
    "title_canon_sha256": "b7848ff19ad513a8629ef49e6ebbf4b4bb40a7dd786ba812d3300d0295cd1a95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.26819",
    "kind": "arxiv",
    "version": 3
  }
}