Pith Number

pith:HIWVC4RK

pith:2026:HIWVC4RKHSL6Y5OU3UE3YOAH54

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Random Access Code protocols: Quantum advantage related to intraparticle entanglement-based contextuality

Dipankar Home, Nilaj Saha, Sumit Mukherjee

The quantum boost in single-particle random access code success equals the violation of a Bell inequality based on noncontextual path-spin measurements.

arxiv:2605.13350 v1 · 2026-05-13 · quant-ph · math-ph · math.MP

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Claims

C1strongest claim

the magnitude of quantum-mechanical violation of such Bell-type inequality, signifying a form of quantum contextuality, is quantitatively commensurate with the quantum enhancement of success probability in any intraparticle entanglement-assisted n-bit RAC protocol. In particular, the maximal success probability of a quantum n ↦ 1 RAC protocol corresponds to the maximal quantum violation of the relevant Bell-type inequality.

C2weakest assumption

The RAC protocol can be formulated in terms of intraparticle entanglement between spin/polarization and path degrees of freedom of a single particle, allowing derivation of a Bell-type inequality from the noncontextuality assumption for single-particle path-spin measurements.

C3one line summary

Quantum success probability in intraparticle entanglement-assisted n-bit random access codes corresponds directly to the degree of violation of a noncontextuality Bell-type inequality.

References

85 extracted · 85 resolved · 2 Pith anchors

[1] Upon re- ceiving this transmitted bit, the task given to Bob is to extract information about any randomly chosen bit of Alice’s original string of 2 bits

[2] One can also extend this observation to obtain the maximum average success probability for any randomized strategy making use of the fact that any randomized strategy can be represented as a probabili

[3] (10) is that it also provides the lower bound on Pcl 2

[4] up” (|↑⟩ p), and|ψ 2⟩ as “down

[5] (6) with the quantum mechanical value ofC 2 achieving 2 √

Receipt and verification

First computed	2026-05-18T02:44:48.286866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a2d51722a3c97ec75d4dd09bc3807ef0732b55e53ecdb8b947e5f99c524b89c

Aliases

arxiv: 2605.13350 · arxiv_version: 2605.13350v1 · doi: 10.48550/arxiv.2605.13350 · pith_short_12: HIWVC4RKHSL6 · pith_short_16: HIWVC4RKHSL6Y5OU · pith_short_8: HIWVC4RK

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HIWVC4RKHSL6Y5OU3UE3YOAH54 \
  | 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: 3a2d51722a3c97ec75d4dd09bc3807ef0732b55e53ecdb8b947e5f99c524b89c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b0bbc3d9ce8eca82f18b5a37372817c71fc95c7e6581c481121205faa133e02",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-13T11:10:59Z",
    "title_canon_sha256": "bf2333c763ceecb9d7ade5c6554fd7098ec44e408538a1436004a26790da3746"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13350",
    "kind": "arxiv",
    "version": 1
  }
}