Pith Number

pith:U4B5HC6A

pith:2026:U4B5HC6AV4D3TF6JPFJJMBKBHA

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Scalable self-testing of generic multipartite quantum states

Elias X. Huber, Jinchang Liu, Xingjian Zhang, Xiongfeng Ma, Zhenyu Du

A protocol self-tests almost all n-qubit states robustly with only polynomial sample complexity.

arxiv:2605.15106 v1 · 2026-05-14 · quant-ph

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Record completeness

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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 overcome this barrier by introducing a protocol that robustly self-tests almost all n-qubit states with only polynomial sample complexity

C2weakest assumption

The efficient scheme for device-independently evaluating multipartite Pauli measurements can be implemented using only a linear number of ancillary Bell pairs together with standard projective and Bell measurements

C3one line summary

A protocol self-tests generic n-qubit states with polynomial sample complexity via device-independent multipartite Pauli measurements implemented with linear Bell pairs.

References

36 extracted · 36 resolved · 0 Pith anchors

[1] Self-testing up toglobaltranspose We now remove the undesirable partial transpose terms in Lemma S3, thereby yielding a robust DI protocol that implements multipartite Pauli measurements up to only an

[2] The robust analysis is formalized in the following lemma

[3] Therefore, tr     X ι∈{0,1}2 LTι B′ 0B′ 1 ⊗ |ι⟩ ⟨ι|B′′ 0 B′′ 1   Γ(ψ)   ≥ 2 3 tr (|01⟩ ⟨01|+|10⟩ ⟨10|)B′′ 0 B′′ 1 Γ(ψ) (D23) S16 Combining the above two equations gives tr (|01⟩ ⟨01|+|10⟩ ⟨10|

[4] The definition of the functionfis given in (D2)

[5] This is because Γ l requires classical communication betweenA l andB l for the Pauli correction

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T21:40:25.787074Z
Last reissued	2026-05-17T21:57:19.118901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

a703d38bc0af07b997c97952960541380a471a86c86a3cf12f1125106033fbeb

Aliases

arxiv: 2605.15106 · arxiv_version: 2605.15106v1 · pith_short_12: U4B5HC6AV4D3 · pith_short_16: U4B5HC6AV4D3TF6J · pith_short_8: U4B5HC6A

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/U4B5HC6AV4D3TF6JPFJJMBKBHA \
  | 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: a703d38bc0af07b997c97952960541380a471a86c86a3cf12f1125106033fbeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e35e653018ceba6642ea05c1393b97bbac6aeac929995152a6f135065168a35",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-14T17:23:40Z",
    "title_canon_sha256": "b5f647b1d43eb65aebc2d24119df686f264d490968fa8b981c76a783cf285209"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15106",
    "kind": "arxiv",
    "version": 1
  }
}