Pith Number

pith:2PJFCFXW

pith:2026:2PJFCFXWT3VHR73ZK5HPQOGWWY

not attested not anchored not stored refs pending

Quantum-Enhanced Single-Parameter Phase Estimation with Adaptive NOON States

Nandan S Bisht, Simanshu Kumar

Optimizing eight circuit parameters via gradient descent on Fisher information raises NOON-state phase sensing from 36 percent to 58 percent of the Heisenberg limit at N=5 and multiplies useful events per pulse by up to 133 times.

arxiv:2604.12323 v4 · 2026-04-14 · quant-ph

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\usepackage{pith}
\pithnumber{2PJFCFXWT3VHR73ZK5HPQOGWWY}

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Record completeness

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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 optimised probe reaches 82% of the Heisenberg limit at N=2 and improves from 36% to 58% at N=5, while useful measurement events per pulse improve by 8× to 133× across all N, making quantum-enhanced sensing at N≥3 experimentally practical.

C2weakest assumption

That the Strawberry Fields simulation with the chosen loss and noise model faithfully reproduces real experimental imperfections and that the Adam-optimized parameters found in simulation will translate directly to improved performance in a physical setup without additional unmodeled effects.

C3one line summary

Optimizing eight circuit parameters via gradient descent on classical Fisher information yields up to 1598% CFI gains and 133x more useful events per pulse for N=5 NOON states, pushing performance closer to the Heisenberg limit than the Afek et al. 2010 setup.

Cited by

2 papers in Pith

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

Receipt and verification

First computed	2026-05-20T00:04:31.436054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3d25116f69eea78ff79574ef838d6b62df7f1564bac2142438ec355fb20b884

Aliases

arxiv: 2604.12323 · arxiv_version: 2604.12323v4 · doi: 10.48550/arxiv.2604.12323 · pith_short_12: 2PJFCFXWT3VH · pith_short_16: 2PJFCFXWT3VHR73Z · pith_short_8: 2PJFCFXW

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/2PJFCFXWT3VHR73ZK5HPQOGWWY \
  | 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: d3d25116f69eea78ff79574ef838d6b62df7f1564bac2142438ec355fb20b884

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab5a5d3aa273f675859b4435960cdc3df81c99a4b7f09cbbac59c67c33fc91df",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-04-14T05:55:58Z",
    "title_canon_sha256": "d326a247622ced690dbd64455a1c82d4709166ce361f83318439a1b4526c5315"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.12323",
    "kind": "arxiv",
    "version": 4
  }
}