Pith Number

pith:A62LWZBB

pith:2026:A62LWZBBKACBA2GU5ZE6RECVQN

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Interference visibility as a witness of preparation contextuality via overlap inequalities

Mohd Asad Siddiqui

Pairwise visibility measurements in multi-path interferometers witness preparation contextuality via overlap inequalities.

arxiv:2605.14395 v1 · 2026-05-14 · quant-ph

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Record completeness

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3 Author claim open · sign in to claim

4 Citations 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

Under ideal symmetric conditions, interference visibility directly encodes state overlaps, and for three paths any jointly diagonalizable description must satisfy V12² + V23² - V13² ≤ 1, with pure qubit states achieving 5/4; generalized to Sn^max = n cos²(π/2n) - 1 for n ≥ 3.

C2weakest assumption

The operational equivalences used in overlap-based generalized noncontextuality frameworks hold, and the description is jointly diagonalizable (coherence-free) for the bound to apply.

C3one line summary

Pairwise visibilities in n-path interferometers yield inequalities violated by qubit states that witness preparation contextuality under operational equivalences.

References

24 extracted · 24 resolved · 0 Pith anchors

[1] T. Baumgratz, M. Cramer, and M. B. Plenio, Quantify- ing coherence, Phys. Rev. Lett.113, 140401 (2014) 2014

[2] S. Designolle, R. Uola, K. Luoma, and N. Brunner, Set coherence: Basis-independent quantification of quantum coherence, Phys. Rev. Lett.126, 220404 (2021) 2021

[3] E. F. Galv˜ ao and D. J. Brod, Quantum and classical bounds for two-state overlaps, Phys. Rev. A101, 062110 (2020) 2020

[4] R. Wagner, R. S. Barbosa, and E. F. Galv˜ ao, Inequali- ties witnessing coherence, nonlocality, and contextuality, Phys. Rev. A109, 032220 (2024) 2024

[5] R. W. Spekkens, Contextuality for preparations, trans- formations, and unsharp measurements, Phys. Rev. A 71, 052108 (2005) 2005

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:07.564718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07b4bb642150041068d4ee49e89055837a6942b53884b0f7de773ef6d3fd03ac

Aliases

arxiv: 2605.14395 · arxiv_version: 2605.14395v1 · doi: 10.48550/arxiv.2605.14395 · pith_short_12: A62LWZBBKACB · pith_short_16: A62LWZBBKACBA2GU · pith_short_8: A62LWZBB

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/A62LWZBBKACBA2GU5ZE6RECVQN \
  | 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: 07b4bb642150041068d4ee49e89055837a6942b53884b0f7de773ef6d3fd03ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0668cda4244c27f9f2fe276eab480f25a2edb01528c592a18aae9e94c99591fb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-14T05:20:24Z",
    "title_canon_sha256": "19f0ed399e1897649e91fdd35ad7ebd411ebd2fa77f1e564defe5c71fb0add3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14395",
    "kind": "arxiv",
    "version": 1
  }
}