Paper Citation Record · LEDGER

The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\widetilde{\Theta}(r^2/\varepsilon^2)$

As of 10 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2608.01770.

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

pith.paper-citation-record.v1
2608.01770 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T21:32:31.939387Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

12 of 12 outbound references displayed

verified exact4
verified fuzzy2
unresolved5
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2e6b769e-f7f5-447c-bde7-f71bc3b41279 · outbound

This paper cites Estimating Fidelity to a Reference Quantum State.

The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\widetilde{\Theta}(r^2/\varepsilon^2)$ Estimating Fidelity to a Reference Quantum State

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-04T21:32:32.852368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2429864b-d7dd-40d5-bc8b-62e876be9e0e · outbound

This paper cites Utsumi, Y.

The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\widetilde{\Theta}(r^2/\varepsilon^2)$ Utsumi, Y

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T21:32:30.801276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 41ed1633-efa4-4f8d-9a53-0112f7c458ce · outbound

This paper cites Random dimension reduction and learning symmetric properties of quantum states.

The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\widetilde{\Theta}(r^2/\varepsilon^2)$ Random dimension reduction and learning symmetric properties of quantum states

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-04T21:32:32.624136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 859de3d6-1908-4b89-a3c7-c98125dd78f8 · outbound

This paper cites Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State.

The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\widetilde{\Theta}(r^2/\varepsilon^2)$ Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T21:32:30.995006Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 489f8f65-4500-47aa-b28e-e8329b6a54e9 · outbound

This paper cites The Keyl-Werner algorithm is not optimal for spectrum estimation.

The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\widetilde{\Theta}(r^2/\varepsilon^2)$ The Keyl-Werner algorithm is not optimal for spectrum estimation

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-04T21:32:32.440759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 60e33fd0-54c6-41c3-b65a-89d81368bba0 · outbound

This paper cites an unresolved cited work.

The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\widetilde{\Theta}(r^2/\varepsilon^2)$ Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T21:32:31.222883Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aaf4e911-2987-419c-ac01-46a2d85bdfb2 · outbound

This paper cites Quantum Spectrum Testing.

The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\widetilde{\Theta}(r^2/\varepsilon^2)$ Quantum Spectrum Testing

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-04T21:32:32.212917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f8b89eb7-94df-46fb-8841-617506aa4173 · outbound

This paper cites Keyl and R.

The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\widetilde{\Theta}(r^2/\varepsilon^2)$ Keyl and R

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:32:33.690532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a31b5b7f-0adb-48c7-a221-88fff5bd7bde · outbound

This paper cites an unresolved cited work.

The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\widetilde{\Theta}(r^2/\varepsilon^2)$ Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-04T21:32:33.445382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d11a8bf4-a3cd-42bf-9f13-294eafb98e81 · outbound

This paper cites Graczyk, G.

The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\widetilde{\Theta}(r^2/\varepsilon^2)$ Graczyk, G

Reference 10

Resolution: malformed identifier; no resolver link, observed 2026-08-04T21:32:31.626505Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 32440382-2792-463a-8229-bcabe1723ed1 · outbound

This paper cites Ledoux,The Concentration of Measure Phenomenon, American Mathematical Society, 2001.

The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\widetilde{\Theta}(r^2/\varepsilon^2)$ Ledoux,The Concentration of Measure Phenomenon, American Mathematical Society, 2001

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:32:33.265761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ce2607d2-05ab-48b0-811e-bd51f21b6fe7 · outbound

This paper cites an unresolved cited work.

The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\widetilde{\Theta}(r^2/\varepsilon^2)$ Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-04T21:32:33.115871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

No inbound Pith citation observations are available.