Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T15:21:55.957806Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T15:21:55.957806Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-04T20:09:59.278808Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-14T20:39:28.673117Z
21 of 21 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation b118c38c-10f7-447d-9098-f9ddee715539 · outbound
The abelian state hidden subgroup problem: Learning stabilizer groups and beyond Our analysis is straightforward and significantly simpler than that in [BGW25]
Reference 1
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.
Observation 92e089fe-2cd5-4ec5-abe6-db366035520b · outbound
The abelian state hidden subgroup problem: Learning stabilizer groups and beyond The problem is to identifyH
Reference 2
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.
Observation 89f31236-cc0f-412e-97ec-35f56ce8f251 · outbound
The abelian state hidden subgroup problem: Learning stabilizer groups and beyond Unresolved cited work
Reference 3
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.
Observation d060a3d2-4cb5-4ccd-bbf6-1f39bd673080 · outbound
The abelian state hidden subgroup problem: Learning stabilizer groups and beyond Unresolved cited work
Reference 4
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.
Observation d896d388-4eaa-402c-8e6e-58ec41a276cb · outbound
The abelian state hidden subgroup problem: Learning stabilizer groups and beyond The problem is to identifyH
Reference 6
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.
Observation e5fb2103-03a8-4c70-9f9e-a0a49433684e · outbound
The abelian state hidden subgroup problem: Learning stabilizer groups and beyond Unresolved cited work
Reference 7
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.
Observation 19f50188-133e-4b54-bc19-9ee0fbef7fcc · outbound
The abelian state hidden subgroup problem: Learning stabilizer groups and beyond 11 Letqψ be defined as in Eq.(18)
Reference 8
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.
Observation 8fb8bb0a-48d3-4252-a1e6-43ce1bd6ba0a · outbound
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
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.
Observation 26e41c99-531a-46a7-8a40-d1092d0152c0 · outbound
The abelian state hidden subgroup problem: Learning stabilizer groups and beyond Unresolved cited work
Reference 10
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.
Observation b3f6b6f1-aea1-4f96-a7a0-e39ed5f5f598 · outbound
The abelian state hidden subgroup problem: Learning stabilizer groups and beyond Unresolved cited work
Reference 11
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.
Observation 677f1ee1-f799-4ee9-b125-ca98eb0077ad · outbound
The abelian state hidden subgroup problem: Learning stabilizer groups and beyond Unresolved cited work
Reference 12
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.
Observation 3a7c9c6b-004f-47f3-b0d7-080ce46a925a · outbound
The abelian state hidden subgroup problem: Learning stabilizer groups and beyond Unresolved cited work
Reference 13
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.
Observation c9907566-1e9b-4d7b-aaff-55de6fef9ac4 · outbound
The abelian state hidden subgroup problem: Learning stabilizer groups and beyond Unresolved cited work
Reference 14
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.
Observation 4b3c7ec8-96ad-4dcb-86fd-e695da0b46ab · outbound
The abelian state hidden subgroup problem: Learning stabilizer groups and beyond Unresolved cited work
Reference 15
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.
Observation 3c3cd278-ad18-406e-838b-df2eb08b3d4b · outbound
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
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.
Observation 099c9cc9-e90d-4175-b10c-8ac8b97f697d · outbound
The abelian state hidden subgroup problem: Learning stabilizer groups and beyond Unresolved cited work
Reference 17
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.
Observation c3da3859-8e3b-4a06-8cfe-136b8f642910 · outbound
The abelian state hidden subgroup problem: Learning stabilizer groups and beyond The problem is to identifyH
Reference 18
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.
Observation 6e497249-bea9-4242-8f31-46d5f3c30a69 · outbound
The abelian state hidden subgroup problem: Learning stabilizer groups and beyond Unresolved cited work
Reference 19
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.
Observation 8e56dc1e-7bdf-49b9-833e-acfc540512f4 · outbound
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
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.
Observation 6f84359b-87ab-4816-83ed-a18f0dcd0ee3 · outbound
The abelian state hidden subgroup problem: Learning stabilizer groups and beyond Unresolved cited work
Reference 21
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.
Observation bedbf6ec-30bf-4cbe-9f4d-012b1e080faf · outbound
The abelian state hidden subgroup problem: Learning stabilizer groups and beyond blocking
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4bd88d9d-c27b-443e-b9da-e4d274d74ba8 · inbound
Quantum Error Correction in Adversarial Regimes The abelian state hidden subgroup problem: Learning stabilizer groups and beyond
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 122beed9-0c87-400f-8120-bfb823611f00 · inbound
Single-copy stabilizer learning: average case and worst case The abelian state hidden subgroup problem: Learning stabilizer groups and beyond
Reference 24
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.
Observation 69bf02c9-c786-4db1-9c2a-bf01da1df46f · inbound
Quantum state isomorphism problems for groups The abelian state hidden subgroup problem: Learning stabilizer groups and beyond
Reference 5
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.
Observation 49728eaa-f9e1-4e39-8e01-7b78fa9c9a87 · inbound
Agnostic learning of qudit stabilizer states The abelian state hidden subgroup problem: Learning stabilizer groups and beyond
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.