Pith Number

pith:JUQ352XL

pith:2026:JUQ352XLFRMU6HLLWOPZTZLF3I

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Semi-device-independent self-testing of unitary operations

A. K. Pan, Prabuddha Roy, Rajdeep Paul

The optimal quantum advantage in a variant of the 3-bit prepare-measure random access code self-tests Alice's unitary operations and Bob's measurements.

arxiv:2604.19911 v1 · 2026-04-21 · quant-ph

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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 that the optimal quantum advantage of the variant of 3-bit PMRAC over the classical bound enables the self-testing of Alice's unitary operations and Bob's measurements. The derivation of the optimal quantum success probability is fully analytical.

C2weakest assumption

The protocol assumes the parties share a specific two-qubit quantum state and operate strictly within the prepare-measure framework without additional hidden degrees of freedom or deviations from the stated communication game rules.

C3one line summary

A new semi-device-independent self-testing protocol certifies Alice's unitary operations and Bob's measurements via the optimal quantum advantage in a variant 3-bit PMRAC communication game.

References

60 extracted · 60 resolved · 0 Pith anchors

[1] (6) is derived as Sopt Q = 1 2 + 1√ 6 ≈0.908 (19) Note thatS opt Q >(S C)3→2 i.e., optimal quantum success probability outperforms the classical RACs 2021

[2] J. S. Bell, Physics1, 195 (1964) 1964

[3] N. Brunner, D. Cavalcanti, S. Pironio, V . Scarani, and S. Wehner, Rev. Mod. Phys.86, 419 (2014) 2014

[4] D. Mayers and A. Yao, inProceedings 39th Annual Symposium on Foundations of Computer Science (Cat. No. 98CB36280) (IEEE, 1998) pp. 503–509 1998

[5] Self-testing quantum apparatus , Volume = 2004 · arXiv:quant-ph/0307205

Receipt and verification

First computed	2026-05-28T01:05:12.339852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d21beeaeb2c594f1d6bb39f99e565da16f431c98aaf12f0200a578b0227c3e6

Aliases

arxiv: 2604.19911 · arxiv_version: 2604.19911v1 · doi: 10.48550/arxiv.2604.19911 · pith_short_12: JUQ352XLFRMU · pith_short_16: JUQ352XLFRMU6HLL · pith_short_8: JUQ352XL

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JUQ352XLFRMU6HLLWOPZTZLF3I \
  | 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: 4d21beeaeb2c594f1d6bb39f99e565da16f431c98aaf12f0200a578b0227c3e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e283890e5dc0078c632478a3919709206a64586ead0a0a09a9b017d34cb30776",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-04-21T18:44:01Z",
    "title_canon_sha256": "8c1b8bf44b4921cc865a81d5c77b484e02333ce83f77f9cb8fcc1cc993c2185f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.19911",
    "kind": "arxiv",
    "version": 1
  }
}