Pith Number

pith:WUWGVLLI

pith:2026:WUWGVLLIDL4X5RZYSSKIHQ23VQ

not attested not anchored not stored refs resolved

OAM-Induced Lattice Rotation Reveals a Fractional Optimum in Fault-Tolerant GKP Quantum Sensing

Nandan S Bisht, Simanshu Kumar

A fractional OAM charge of 1.5 rotates the GKP lattice to an angle that reduces logical error probability by a factor of 23.9 while leaving quantum Fisher information unchanged.

arxiv:2605.13271 v2 · 2026-05-13 · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WUWGVLLIDL4X5RZYSSKIHQ23VQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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 optimum occurs at the fractional charge ℓ=1.5 (θ=67.5°), implementable with a half-integer spiral phase plate, which reduces P_err by 23.9× relative to the square-lattice baseline while leaving F_Q unchanged to within 0.2%.

C2weakest assumption

That the Strawberry Fields–TensorFlow differentiable circuit faithfully models the combined photon-loss and dephasing channel and that the joint optimization over ℓ, r, and ε reaches the global optimum rather than a local one.

C3one line summary

Fractional OAM charge ℓ=1.5 induces an optimal 67.5° GKP lattice rotation that reduces error rate 23.9× with <0.2% loss in Fisher information and yields 41% higher metrological capacity.

References

43 extracted · 43 resolved · 2 Pith anchors

[1] C. W. Helstrom,Quantum Detection and Estima- tion Theory(Academic Press, New York, 1976). ISBN: 978-0-12-340050-5 1976

[2] Advances in quantum metrology 2011 · doi:10.1038/nphoton.2011.35

[3] R. Demkowicz-Dobrzański, J. Kołodyński, and M. Guţă, The elusive Heisenberg limit in quantum- enhanced metrology, Nat. Commun.3, 1063 (2012). doi:10.1038/ncomms2067 2012 · doi:10.1038/ncomms2067

[4] E. M. Kessleret al., Heisenberg-limited atom clocks based on entangled qubits, Phys. Rev. Lett.112, 190403 (2014). doi:10.1103/PhysRevLett.112.190403 2014 · doi:10.1103/physrevlett.112.190403

[5] Düret al., Improved quantum metrol- ogy using quantum error correction, Phys 2014 · doi:10.1103/physrevlett.112.080801

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T02:44:49.274947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b52c6aad681af97ec738949483c35bac25be51919c1bfd15038c746105bba65c

Aliases

arxiv: 2605.13271 · arxiv_version: 2605.13271v2 · doi: 10.48550/arxiv.2605.13271 · pith_short_12: WUWGVLLIDL4X · pith_short_16: WUWGVLLIDL4X5RZY · pith_short_8: WUWGVLLI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WUWGVLLIDL4X5RZYSSKIHQ23VQ \
  | 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: b52c6aad681af97ec738949483c35bac25be51919c1bfd15038c746105bba65c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cf12322eb7dec354721a75f5e3afb774633244a411c7c1fe6af95430a60d2ef",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-13T09:49:16Z",
    "title_canon_sha256": "85c576eccf07575627109f1ea6dd2bf7c6a63b2b602c8f93133e578ac120a48a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13271",
    "kind": "arxiv",
    "version": 2
  }
}