Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
On the sample complexity of purity and inner product estimation
As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2410.12712.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-10T18:11:25.917493Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-03T11:48:04.425648Z
Reference resolution
0 of 0 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
No outbound reference observations are available for this paper version.
Pith citing papers
Observation f06d307b-c45c-4897-a427-8c5d95ae5cd7 · inbound
Highly-entangled, highly-doped states that are efficiently cross-device verifiable cites this paper.
Highly-entangled, highly-doped states that are efficiently cross-device verifiable On the sample complexity of purity and inner product estimation
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T18:11:25.917493Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e46d063a-4f13-474e-aabe-2ad0bd9712c5 · inbound
Simultaneous Estimation of Nonlinear Functionals of a Quantum State cites this paper.
Simultaneous Estimation of Nonlinear Functionals of a Quantum State On the sample complexity of purity and inner product estimation
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T15:07:27.596890Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c00ce0fe-366d-42a4-b078-05f3e128f979 · inbound
Information-Computation Gaps in Quantum Learning via Low-Degree Likelihood cites this paper.
Information-Computation Gaps in Quantum Learning via Low-Degree Likelihood On the sample complexity of purity and inner product estimation
Reference 55
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T13:10:04.191095Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ffb530d4-1641-443a-a7ae-16353ef02845 · inbound
Instance-Optimal Quantum State Certification with Entangled Measurements cites this paper.
Instance-Optimal Quantum State Certification with Entangled Measurements On the sample complexity of purity and inner product estimation
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:32:23.846397Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9ec2dba7-2bd5-4e32-a9c0-4ce7858aad40 · inbound
Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation cites this paper.
Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation On the sample complexity of purity and inner product estimation
Reference 50
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T11:02:03.333976Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9fcc4564-2abb-4623-9fb4-3c80ac4ba60d · inbound
Instance-Optimal Matrix Multiplicative Weight Update and Its Quantum Applications cites this paper.
Instance-Optimal Matrix Multiplicative Weight Update and Its Quantum Applications On the sample complexity of purity and inner product estimation
Reference 48
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T20:12:37.849426Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2edd8cb0-1cfb-49fc-a66f-1258be78507e · inbound
Optimal Distributed Similarity Estimation of Quantum Channels cites this paper.
Optimal Distributed Similarity Estimation of Quantum Channels On the sample complexity of purity and inner product estimation
Reference 30
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T17:21:09.145860Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d17fb18b-97e6-4c78-b11f-5cbb48f54304 · inbound
Quantum Nonlinear Properties from a Single Measurement Setting cites this paper.
Quantum Nonlinear Properties from a Single Measurement Setting On the sample complexity of purity and inner product estimation
Reference 70
- Resolution
- verified exact
- arxiv_id, observed 2026-05-12T06:31:27.628500Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 71767304-7fb9-4d1c-a53a-9b2ca37c99d9 · inbound
Quantum Time Lower Bounds by Permutation Invariance cites this paper.
Quantum Time Lower Bounds by Permutation Invariance On the sample complexity of purity and inner product estimation
Reference 44
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-02T08:26:48.436166Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation fca33452-24d7-4ddf-bf25-5529137abbe9 · inbound
Optimal Stabilizer Testing and Learning with Limited Quantum Memory cites this paper.
Optimal Stabilizer Testing and Learning with Limited Quantum Memory On the sample complexity of purity and inner product estimation
Reference 26
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-03T11:48:04.427433Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.