Paper Citation Record · LEDGER

Structural $f$-divergence: Tight universal bounds for cost function moments and gradients in parameterized quantum circuits

As of 7 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2605.18051.

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

pith.paper-citation-record.v1
2605.18051 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-20T11:21:21.216580Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+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

18 of 18 outbound references displayed

verified exact1
verified fuzzy11
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0f515c87-ba39-4897-9143-c1718f445de7 · outbound

This paper cites Lemma 2.For any functionf∈ F, df(t) = inf dTV(P,Q)=t ˜Df(P, Q).(B1) The infimum is attained by(P B, QB)defined by Eq.(6).

Structural $f$-divergence: Tight universal bounds for cost function moments and gradients in parameterized quantum circuits Lemma 2.For any functionf∈ F, df(t) = inf dTV(P,Q)=t ˜Df(P, Q).(B1) The infimum is attained by(P B, QB)defined by Eq.(6)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T11:23:14.519577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation f49ef404-ab63-44f5-9f9d-6530b875688d · outbound

This paper cites an unresolved cited work.

Structural $f$-divergence: Tight universal bounds for cost function moments and gradients in parameterized quantum circuits Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-05-20T11:23:14.521682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation de0b2d01-1dbe-49d3-b832-97963ed90d25 · outbound

This paper cites an unresolved cited work.

Structural $f$-divergence: Tight universal bounds for cost function moments and gradients in parameterized quantum circuits Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-05-20T11:23:14.491164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 03122f01-f004-4d20-80a3-ceb45ef6a81c · outbound

This paper cites LettingX=⟨O⟩ k, the proof is analogous to that of Eq.

Structural $f$-divergence: Tight universal bounds for cost function moments and gradients in parameterized quantum circuits LettingX=⟨O⟩ k, the proof is analogous to that of Eq

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T11:23:14.493119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 7a2af8fa-3e35-41de-aaff-1f74109eb6c1 · outbound

This paper cites an unresolved cited work.

Structural $f$-divergence: Tight universal bounds for cost function moments and gradients in parameterized quantum circuits Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-05-20T11:23:14.486393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 80de913c-4149-4621-8617-74c656378166 · outbound

This paper cites Ragone, B.

Structural $f$-divergence: Tight universal bounds for cost function moments and gradients in parameterized quantum circuits Ragone, B

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T11:23:14.502018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 6e4a1a0e-0ee1-4e2e-a375-ff2d30b4effd · outbound

This paper cites Showcasing a Barren Plateau Theory Beyond the Dynamical Lie Algebra.

Structural $f$-divergence: Tight universal bounds for cost function moments and gradients in parameterized quantum circuits Showcasing a Barren Plateau Theory Beyond the Dynamical Lie Algebra

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-05-20T11:23:14.047366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 41e2ff7b-1991-4352-a507-2bc9792ff3e3 · outbound

This paper cites Cerezo, A.

Structural $f$-divergence: Tight universal bounds for cost function moments and gradients in parameterized quantum circuits Cerezo, A

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T11:23:14.505224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 5681bc21-4c0e-439d-b518-7168aee6ba72 · outbound

This paper cites Grant, L.

Structural $f$-divergence: Tight universal bounds for cost function moments and gradients in parameterized quantum circuits Grant, L

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T11:23:14.507377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation e41a24b6-0878-46e8-a4ac-2e5b24722e3f · outbound

This paper cites Skolik, J.

Structural $f$-divergence: Tight universal bounds for cost function moments and gradients in parameterized quantum circuits Skolik, J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T11:23:14.510977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 4847d486-ae85-4d6c-a198-d573a4c04fe3 · outbound

This paper cites an unresolved cited work.

Structural $f$-divergence: Tight universal bounds for cost function moments and gradients in parameterized quantum circuits Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-05-20T11:23:14.496700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 16c75e66-5092-48cf-b52b-ad8a5ae9dbac · outbound

This paper cites Holmes, K.

Structural $f$-divergence: Tight universal bounds for cost function moments and gradients in parameterized quantum circuits Holmes, K

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T11:23:14.498519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 90915ac4-1164-469b-980b-6f2a7a9b7ac9 · outbound

This paper cites Arrasmith, Z.

Structural $f$-divergence: Tight universal bounds for cost function moments and gradients in parameterized quantum circuits Arrasmith, Z

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T11:23:14.515213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 5e8122f3-da66-4581-9d91-8d9d0a34df33 · outbound

This paper cites Sason and S.

Structural $f$-divergence: Tight universal bounds for cost function moments and gradients in parameterized quantum circuits Sason and S

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T11:23:14.517555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 0705cdc4-a0d3-4b81-83da-2eaeaa53311f · outbound

This paper cites Le Cam,Asymptotic methods in statistical decision theory(Springer Science & Business Media, 2012).

Structural $f$-divergence: Tight universal bounds for cost function moments and gradients in parameterized quantum circuits Le Cam,Asymptotic methods in statistical decision theory(Springer Science & Business Media, 2012)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T11:23:14.494965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 5228a68a-2d13-4b2a-b990-eccb7ecd7d68 · outbound

This paper cites Sason, Tight bounds for symmetric divergence mea- sures and a new inequality relating f-divergences, in2015 IEEE Information Theory Workshop (ITW)(2015) pp.

Structural $f$-divergence: Tight universal bounds for cost function moments and gradients in parameterized quantum circuits Sason, Tight bounds for symmetric divergence mea- sures and a new inequality relating f-divergences, in2015 IEEE Information Theory Workshop (ITW)(2015) pp

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T11:23:14.500409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 6832dc19-6c40-4c7a-b125-927712f2320f · outbound

This paper cites an unresolved cited work.

Structural $f$-divergence: Tight universal bounds for cost function moments and gradients in parameterized quantum circuits Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-05-20T11:23:14.489319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation ad3c85f8-3016-4237-aef7-3f81c5db4be7 · outbound

This paper cites an unresolved cited work.

Structural $f$-divergence: Tight universal bounds for cost function moments and gradients in parameterized quantum circuits Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-05-20T11:23:14.509186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Pith citing papers

No inbound Pith citation observations are available.