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Paper Citation Record · LEDGER

The abelian state hidden subgroup problem: Learning stabilizer groups and beyond

As of 23 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 4 inbound Pith citation observations for arXiv:2505.15770.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2505.15770 v3

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:21:55.957806Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T20:09:59.278808Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-14T20:39:28.673117Z

Reference resolution

21 of 21 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved10
  • parse uncertain3
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b118c38c-10f7-447d-9098-f9ddee715539 · outbound

This paper cites Our analysis is straightforward and significantly simpler than that in [BGW25].

The abelian state hidden subgroup problem: Learning stabilizer groups and beyond Our analysis is straightforward and significantly simpler than that in [BGW25]

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:56.514514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:21:55.830928Z digest=sha256:193b0942c5708445b821b5b252a728fd0fa9159b51514ba648c1f2fd7bc36ed3

Observation 92e089fe-2cd5-4ec5-abe6-db366035520b · outbound

This paper cites The problem is to identifyH.

The abelian state hidden subgroup problem: Learning stabilizer groups and beyond The problem is to identifyH

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:56.535014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:21:55.824209Z digest=sha256:ce48b31fad10ba61ea6423e561b24ccae55eaabc871d6cd263383818b050982b

Observation 89f31236-cc0f-412e-97ec-35f56ce8f251 · outbound

This paper cites an unresolved cited work.

The abelian state hidden subgroup problem: Learning stabilizer groups and beyond Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:21:56.484296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:21:55.838767Z digest=sha256:f3dd795395b60d17f5ecb80ab54829b6fe3b7da3dd402bc8c742aebb55ffe5e8

Observation d060a3d2-4cb5-4ccd-bbf6-1f39bd673080 · outbound

This paper cites an unresolved cited work.

The abelian state hidden subgroup problem: Learning stabilizer groups and beyond Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:21:56.464070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:21:55.844656Z digest=sha256:b9eb2925c33bfb6eb0ddb0252747ba4b6794c91057ddb709e584fb1cd25d9023

Observation d896d388-4eaa-402c-8e6e-58ec41a276cb · outbound

This paper cites The problem is to identifyH.

The abelian state hidden subgroup problem: Learning stabilizer groups and beyond The problem is to identifyH

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:56.424271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:21:55.859613Z digest=sha256:070f2d4a3fe1d1f9dbb7353374636f1967b393dbc6b53a43ac4cc1b42ccb7a19

Observation e5fb2103-03a8-4c70-9f9e-a0a49433684e · outbound

This paper cites an unresolved cited work.

The abelian state hidden subgroup problem: Learning stabilizer groups and beyond Unresolved cited work

Reference 7

Resolution
parse uncertain
raw_fallback, observed 2026-08-07T15:21:56.446398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:21:55.867598Z digest=sha256:552b8d2f61b1d156d15f2232878bb073db683fd0db432490daf8fa5bb457d980

Observation 19f50188-133e-4b54-bc19-9ee0fbef7fcc · outbound

This paper cites 11 Letqψ be defined as in Eq.(18).

The abelian state hidden subgroup problem: Learning stabilizer groups and beyond 11 Letqψ be defined as in Eq.(18)

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:56.403898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:21:55.874567Z digest=sha256:2d1a8f12736fa331dc9f63b94442232ae023ad7481cea6dfddd288d7345c313a

Observation 8fb8bb0a-48d3-4252-a1e6-43ce1bd6ba0a · outbound

This paper cites First, from Lemma 2, we have qψ(K⊥) = 1 |K| ∑ k∈K ⟨ψ|R(k)|ψ⟩.

The abelian state hidden subgroup problem: Learning stabilizer groups and beyond First, from Lemma 2, we have qψ(K⊥) = 1 |K| ∑ k∈K ⟨ψ|R(k)|ψ⟩

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:56.385022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:21:55.880449Z digest=sha256:92a84f43d48d348c43582e3ba79569857d9d8c027b21c29f0dd78a0dbea7e102

Observation 26e41c99-531a-46a7-8a40-d1092d0152c0 · outbound

This paper cites an unresolved cited work.

The abelian state hidden subgroup problem: Learning stabilizer groups and beyond Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:21:56.363395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:21:55.887841Z digest=sha256:0d30ba47fd4cae3ab4d84acf7d0307ab15748cbf07d57cb78dbf3c9d26259fc8

Observation b3f6b6f1-aea1-4f96-a7a0-e39ed5f5f598 · outbound

This paper cites an unresolved cited work.

The abelian state hidden subgroup problem: Learning stabilizer groups and beyond Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:21:56.340933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:21:55.894210Z digest=sha256:a76dec321b0fa02a2aaf434c7e2d4c845f2b8d547537b473a9f565fbe7d24578

Observation 677f1ee1-f799-4ee9-b125-ca98eb0077ad · outbound

This paper cites an unresolved cited work.

The abelian state hidden subgroup problem: Learning stabilizer groups and beyond Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:21:56.321764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:21:55.899450Z digest=sha256:3255fe749e2e3235dbab4d64c2b44575c3626a390d0bc565344c674c7242d34a

Observation 3a7c9c6b-004f-47f3-b0d7-080ce46a925a · outbound

This paper cites an unresolved cited work.

The abelian state hidden subgroup problem: Learning stabilizer groups and beyond Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:21:56.300695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:21:55.905452Z digest=sha256:8c93faec58756311810b7868135727da13d4a5226358e34b79cc5c3dcd4d9a8b

Observation c9907566-1e9b-4d7b-aaff-55de6fef9ac4 · outbound

This paper cites an unresolved cited work.

The abelian state hidden subgroup problem: Learning stabilizer groups and beyond Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:21:56.278798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:21:55.910804Z digest=sha256:ec983a37b7070e19d3b9f3045a1ce0a5ee1b1b8689653e38b55c5c58f9a33756

Observation 4b3c7ec8-96ad-4dcb-86fd-e695da0b46ab · outbound

This paper cites an unresolved cited work.

The abelian state hidden subgroup problem: Learning stabilizer groups and beyond Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:21:56.254800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:21:55.916554Z digest=sha256:5cfd5ce3f73f29e247903f2d5f7398e5c92e81c8294ee88796d8446715f3f692

Observation 3c3cd278-ad18-406e-838b-df2eb08b3d4b · outbound

This paper cites This results in the following output distribution qψ (λ) = 1 |G| ∑ g∈G χλ (g)⟨ψ|R(g)|ψ⟩.

The abelian state hidden subgroup problem: Learning stabilizer groups and beyond This results in the following output distribution qψ (λ) = 1 |G| ∑ g∈G χλ (g)⟨ψ|R(g)|ψ⟩

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:56.233494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:21:55.921653Z digest=sha256:1ae238918b90fda56cb03555a69bf6cb07e16754510b896c282cdd5c881ae1a9

Observation 099c9cc9-e90d-4175-b10c-8ac8b97f697d · outbound

This paper cites an unresolved cited work.

The abelian state hidden subgroup problem: Learning stabilizer groups and beyond Unresolved cited work

Reference 17

Resolution
parse uncertain
raw_fallback, observed 2026-08-07T15:21:56.205609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:21:55.927412Z digest=sha256:0ba6c75302d8768b3d2c3693d745d366ec67176f8a41288f77e59ea2ad9d72a1

Observation c3da3859-8e3b-4a06-8cfe-136b8f642910 · outbound

This paper cites The problem is to identifyH.

The abelian state hidden subgroup problem: Learning stabilizer groups and beyond The problem is to identifyH

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:56.183333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:21:55.934910Z digest=sha256:aa1854dd5978316a7462a99c88618270ef508d1321ba9bf23acf1fdf05168815

Observation 6e497249-bea9-4242-8f31-46d5f3c30a69 · outbound

This paper cites an unresolved cited work.

The abelian state hidden subgroup problem: Learning stabilizer groups and beyond Unresolved cited work

Reference 19

Resolution
parse uncertain
raw_fallback, observed 2026-08-07T15:21:56.162823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:21:55.940202Z digest=sha256:1dfbae6f053464e852c3eec8a829f332c00440327ebeb4d76230aa33ec475def

Observation 8e56dc1e-7bdf-49b9-833e-acfc540512f4 · outbound

This paper cites This condition is strictly stronger than the invariance requirement in Definition 6, as it implies—but is not implied by—that condition.

The abelian state hidden subgroup problem: Learning stabilizer groups and beyond This condition is strictly stronger than the invariance requirement in Definition 6, as it implies—but is not implied by—that condition

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:21:56.134044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:21:55.945894Z digest=sha256:e32bf957989eff681a8a4d3b82cfeb0c7e9bff6da22f63227c754aad4ee70548

Observation 6f84359b-87ab-4816-83ed-a18f0dcd0ee3 · outbound

This paper cites an unresolved cited work.

The abelian state hidden subgroup problem: Learning stabilizer groups and beyond Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:21:56.099887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:21:55.951764Z digest=sha256:588a67f11d6cbba273f44519073993c130b2b69cf495957c58c20d8a1fdaf54d

Observation bedbf6ec-30bf-4cbe-9f4d-012b1e080faf · outbound

This paper cites blocking.

The abelian state hidden subgroup problem: Learning stabilizer groups and beyond blocking

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-07T15:21:55.957806Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:21:55.957806Z digest=sha256:b74fb0a04c2d4ca46b4fae29472a37b750360e4d519fa4636cd177c07d6beab7

Pith citing papers

Observation 4bd88d9d-c27b-443e-b9da-e4d274d74ba8 · inbound

Quantum Error Correction in Adversarial Regimes cites this paper.

Quantum Error Correction in Adversarial Regimes The abelian state hidden subgroup problem: Learning stabilizer groups and beyond

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-04T20:09:59.278808Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T20:09:59.278808Z digest=sha256:89c2041e1fa0397b25d404ace8ce4671f116d37b32d1127accac9b45a086e4e7

Observation 122beed9-0c87-400f-8120-bfb823611f00 · inbound

Single-copy stabilizer learning: average case and worst case cites this paper.

Single-copy stabilizer learning: average case and worst case The abelian state hidden subgroup problem: Learning stabilizer groups and beyond

Reference 24

Resolution
verified exact
arxiv_id, observed 2026-05-28T02:04:08.747885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-08T04:25:15.317175Z digest=sha256:4203d1be84c904f98c5fb8b4dea49ac79c644bfd8001d4e20d5fab2e29a10540

Observation 69bf02c9-c786-4db1-9c2a-bf01da1df46f · inbound

Quantum state isomorphism problems for groups cites this paper.

Quantum state isomorphism problems for groups The abelian state hidden subgroup problem: Learning stabilizer groups and beyond

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-05-28T02:04:08.747885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-05-14T20:31:27.790263Z digest=sha256:4e91a0bd66cf100a4830661e929804b4003014cc14e33b40377731ee3bfef5f0

Observation 49728eaa-f9e1-4e39-8e01-7b78fa9c9a87 · inbound

Agnostic learning of qudit stabilizer states cites this paper.

Agnostic learning of qudit stabilizer states The abelian state hidden subgroup problem: Learning stabilizer groups and beyond

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-01T23:14:44.640289Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T23:14:44.640289Z digest=sha256:55819968314e54acd5f34241bb3e8e404b1366915049939216956e1a107eacfb