Paper Citation Record · LEDGER

Instance-Optimal Quantum State Certification with Entangled Measurements

As of 9 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2507.06010.

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

pith.paper-citation-record.v1
2507.06010 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:32:25.470841Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T06:18:28.424749Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

31 of 31 outbound references displayed

verified exact0
verified fuzzy22
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2bbd44b7-343e-4b2e-a035-41587133bf9c · outbound

This paper cites Distributed quantum inner product estimation.

Instance-Optimal Quantum State Certification with Entangled Measurements Distributed quantum inner product estimation

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:32:30.483245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3ca355d9-e103-4343-b6cf-0c8c2d3fd9a8 · outbound

This paper cites Distribution testing lower bounds via reductions from communication complexity.

Instance-Optimal Quantum State Certification with Entangled Measurements Distribution testing lower bounds via reductions from communication complexity

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:32:30.279623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 66ab89f2-5640-45d5-89ee-94e6635a54dc · outbound

This paper cites Entanglement is necessary for optimal quantum property testing.

Instance-Optimal Quantum State Certification with Entangled Measurements Entanglement is necessary for optimal quantum property testing

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T19:32:22.753503Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c062b82f-cd66-486e-a63e-2a9775634fab · outbound

This paper cites Hamiltonian property testing.

Instance-Optimal Quantum State Certification with Entangled Measurements Hamiltonian property testing

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T19:32:22.832748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c87bb76-d68d-4dc5-9ed7-cf4f78d01380 · outbound

This paper cites Quantum state certification.

Instance-Optimal Quantum State Certification with Entangled Measurements Quantum state certification

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:32:30.070790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e36e4bd0-d0ac-430e-959d-bfa7bae2e75c · outbound

This paper cites A survey on distribution testing: Your data is big.

Instance-Optimal Quantum State Certification with Entangled Measurements A survey on distribution testing: Your data is big

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:32:29.977261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ba7c6233-06ed-4ec1-b386-40390bffef50 · outbound

This paper cites Topics and techniques in distribution testing: A biased but representative sample.

Instance-Optimal Quantum State Certification with Entangled Measurements Topics and techniques in distribution testing: A biased but representative sample

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:32:29.816092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 980fdc0d-4dde-429d-87d7-0c3323747e65 · outbound

This paper cites A Hierarchy for Replica Quantum Advantage.

Instance-Optimal Quantum State Certification with Entangled Measurements A Hierarchy for Replica Quantum Advantage

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T19:32:23.136665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9e3c7ee-cf45-44f5-a724-83daeb458f91 · outbound

This paper cites Exponential separations between learning with and without quantum memory.

Instance-Optimal Quantum State Certification with Entangled Measurements Exponential separations between learning with and without quantum memory

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T19:32:23.178774Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce65650d-e664-42e0-b3e4-89f0acb617dc · outbound

This paper cites Optimal tradeoffs for estimating pauli observables.

Instance-Optimal Quantum State Certification with Entangled Measurements Optimal tradeoffs for estimating pauli observables

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:32:29.610409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation dd6bcca7-b36a-436b-bbde-25c66820e52d · outbound

This paper cites Weak F ourier-- S chur sampling, the hidden subgroup problem, and the quantum collision problem.

Instance-Optimal Quantum State Certification with Entangled Measurements Weak F ourier-- S chur sampling, the hidden subgroup problem, and the quantum collision problem

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:32:29.372501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 106aa18a-40b2-481e-870c-9ce4e6d41c95 · outbound

This paper cites Tight bounds for quantum state certification with incoherent measurements.

Instance-Optimal Quantum State Certification with Entangled Measurements Tight bounds for quantum state certification with incoherent measurements

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T19:32:23.384043Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4892796d-4aa6-4df6-9e0d-0ec2395f4dfe · outbound

This paper cites Toward instance-optimal state certification with incoherent measurements.

Instance-Optimal Quantum State Certification with Entangled Measurements Toward instance-optimal state certification with incoherent measurements

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:32:29.228973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a6d2aacb-bd49-4904-9dee-4b6c2cda6d3a · outbound

This paper cites Unitarity estimation for quantum channels.

Instance-Optimal Quantum State Certification with Entangled Measurements Unitarity estimation for quantum channels

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:32:28.954581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9f8b6bd4-3589-4679-ae25-f4cdf3d58317 · outbound

This paper cites A new approach for testing properties of discrete distributions.

Instance-Optimal Quantum State Certification with Entangled Measurements A new approach for testing properties of discrete distributions

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:32:28.761643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 963a4b3b-a53f-4fd7-9583-dce1887a868c · outbound

This paper cites Quantum channel certification with incoherent measurements.

Instance-Optimal Quantum State Certification with Entangled Measurements Quantum channel certification with incoherent measurements

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:32:28.556691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b924b5a3-cb1d-4e95-9068-e1fd93e75737 · outbound

This paper cites Few Single-Qubit Measurements Suffice to Certify Any Quantum State.

Instance-Optimal Quantum State Certification with Entangled Measurements Few Single-Qubit Measurements Suffice to Certify Any Quantum State

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T19:32:23.778388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ffb530d4-1641-443a-a7ae-16353ef02845 · outbound

This paper cites On the sample complexity of purity and inner product estimation.

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 28e95709-a14f-4d14-8cd7-0380e09db6f5 · outbound

This paper cites Introduction to property testing.

Instance-Optimal Quantum State Certification with Entangled Measurements Introduction to property testing

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T19:32:23.897026Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e6f5105b-b115-439d-b4d8-2b5447129aaf · outbound

This paper cites Certifying almost all quantum states with few single-qubit measurements.

Instance-Optimal Quantum State Certification with Entangled Measurements Certifying almost all quantum states with few single-qubit measurements

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:32:28.380033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation da5f94de-f177-42a6-88f6-20f44bd1f111 · outbound

This paper cites Nonparametric goodness-of-fit testing under Gaussian models , volume 169.

Instance-Optimal Quantum State Certification with Entangled Measurements Nonparametric goodness-of-fit testing under Gaussian models , volume 169

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:32:28.206244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation af05dd6f-ada3-4850-a13c-d835c968d170 · outbound

This paper cites Fidelity for mixed quantum states.

Instance-Optimal Quantum State Certification with Entangled Measurements Fidelity for mixed quantum states

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:32:27.977226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 893a5b4f-0662-4178-8ef7-4440403b9f0a · outbound

This paper cites Concentration of measure and logarithmic S obolev inequalities.

Instance-Optimal Quantum State Certification with Entangled Measurements Concentration of measure and logarithmic S obolev inequalities

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:32:27.756140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0eca2790-2504-4625-8342-324145286d29 · outbound

This paper cites A survey of quantum property testing.

Instance-Optimal Quantum State Certification with Entangled Measurements A survey of quantum property testing

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:32:27.555068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation de52c394-ba28-4bdb-bfc0-01fd41b9e4c4 · outbound

This paper cites Spectral measures of powers of random matrices.

Instance-Optimal Quantum State Certification with Entangled Measurements Spectral measures of powers of random matrices

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:32:27.379210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 451aeef8-524e-46dd-8fb4-81331c3bff99 · outbound

This paper cites Quantum computation and quantum information.

Instance-Optimal Quantum State Certification with Entangled Measurements Quantum computation and quantum information

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:32:27.165462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2f5e0516-9bf7-4fc2-93e5-0dc4388814e5 · outbound

This paper cites Quantum spectrum testing.

Instance-Optimal Quantum State Certification with Entangled Measurements Quantum spectrum testing

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:32:26.925189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation eccca016-ed00-44b1-8839-40d520fd9567 · outbound

This paper cites A coincidence-based test for uniformity given very sparsely sampled discrete data.

Instance-Optimal Quantum State Certification with Entangled Measurements A coincidence-based test for uniformity given very sparsely sampled discrete data

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:32:26.652156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3da141e0-e03e-4fdb-8ed4-66992bc0c691 · outbound

This paper cites The ^2 -divergence and mixing times of quantum markov processes.

Instance-Optimal Quantum State Certification with Entangled Measurements The ^2 -divergence and mixing times of quantum markov processes

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:32:26.322061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 78c1e204-d5d0-4d0d-9c87-439191493011 · outbound

This paper cites An automatic inequality prover and instance optimal identity testing.

Instance-Optimal Quantum State Certification with Entangled Measurements An automatic inequality prover and instance optimal identity testing

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T19:32:25.309396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7658ea9d-76dc-4c84-a79f-4f94e5dba8db · outbound

This paper cites Lecture notes on information-theoretic methods for high-dimensional statistics.

Instance-Optimal Quantum State Certification with Entangled Measurements Lecture notes on information-theoretic methods for high-dimensional statistics

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:32:26.002187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

Observation 6730c872-3825-4bcf-b333-0ca0171b3905 · inbound

Instance-optimal high-precision shadow tomography with few-copy measurements: A metrological approach cites this paper.

Instance-optimal high-precision shadow tomography with few-copy measurements: A metrological approach Instance-Optimal Quantum State Certification with Entangled Measurements

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-04T06:18:28.424749Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.