Paper Citation Record · LEDGER

Stochastic Quantum Hamiltonian Descent

As of 12 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2507.15424.

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

pith.paper-citation-record.v1
2507.15424 v1

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:48:54.430463Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

46 of 46 outbound references displayed

verified exact2
verified fuzzy20
unresolved23
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2e1c1d22-2d68-4214-81ad-c803f1ef7a0f · outbound

This paper cites This represents the ideal, noiseless component of the dynamics, LGD(t)[σ] = −i[H(t), σ].

Stochastic Quantum Hamiltonian Descent This represents the ideal, noiseless component of the dynamics, LGD(t)[σ] = −i[H(t), σ]

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:49:03.933691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ad817f79-3ad2-49b4-8146-bae097858bc6 · outbound

This paper cites 1: Overview of the SQHD method.

Stochastic Quantum Hamiltonian Descent 1: Overview of the SQHD method

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:49:03.712048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0e87df11-a238-4dc6-8268-755d27b6e34f · outbound

This paper cites an unresolved cited work.

Stochastic Quantum Hamiltonian Descent Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:49:03.447665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3ef09a00-99b5-47fd-9925-6176af901ebb · outbound

This paper cites , N− 1: (a) Calculate the discrete parameters aj = exp(ψ((j + 1/2)η)), bj = exp(χ((j + 1/2)η)).

Stochastic Quantum Hamiltonian Descent , N− 1: (a) Calculate the discrete parameters aj = exp(ψ((j + 1/2)η)), bj = exp(χ((j + 1/2)η))

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:49:03.186675Z

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Observation 9b34a02f-820e-4d57-84b5-698fdc9550ab · outbound

This paper cites This algorithm outputs a value x such that E[f (x)] is approximately D ˆf E t where t = N η.

Stochastic Quantum Hamiltonian Descent This algorithm outputs a value x such that E[f (x)] is approximately D ˆf E t where t = N η

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:49:02.898649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2d11ce9c-0b25-49e3-912f-3eaf96d394a5 · outbound

This paper cites We believe a similar phase exists for SQHD; however, excessive ran- domness can weaken its effectiveness.

Stochastic Quantum Hamiltonian Descent We believe a similar phase exists for SQHD; however, excessive ran- domness can weaken its effectiveness

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:49:02.618400Z

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Observation fd7be7f8-6031-4219-a9dd-227c254c4b3a · outbound

This paper cites an unresolved cited work.

Stochastic Quantum Hamiltonian Descent Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:49:02.420900Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d7fc742d-4f6f-45d0-b83c-fe0c243b7bdc · outbound

This paper cites Wibisono, A.

Stochastic Quantum Hamiltonian Descent Wibisono, A

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:49:02.212251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 75c4b354-ef30-46d8-bcc2-d0131b1d4191 · outbound

This paper cites Maskan, K.

Stochastic Quantum Hamiltonian Descent Maskan, K

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:49:01.909931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a85e3368-7047-405a-a6f3-55c3cef6b343 · outbound

This paper cites an unresolved cited work.

Stochastic Quantum Hamiltonian Descent Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:49:01.680863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b5eeff4b-7c0e-4fc7-9c79-b1888644091a · outbound

This paper cites Quantum Hamiltonian Descent.

Stochastic Quantum Hamiltonian Descent Quantum Hamiltonian Descent

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T15:48:49.861650Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8f29254c-4c35-486d-862a-0abe69c5343d · outbound

This paper cites A quantum-classical performance separation in nonconvex optimization.

Stochastic Quantum Hamiltonian Descent A quantum-classical performance separation in nonconvex optimization

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:48:55.648436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3567401f-9ef7-4a4c-ba82-aa777871774f · outbound

This paper cites (Sub)Exponential Quantum Speedup for Optimization.

Stochastic Quantum Hamiltonian Descent (Sub)Exponential Quantum Speedup for Optimization

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-06T15:48:50.115907Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ce98606-ede1-4df3-84e7-d208a9c4825f · outbound

This paper cites Abbas, A.

Stochastic Quantum Hamiltonian Descent Abbas, A

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:49:01.460761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1c9e2032-5456-4c7b-a1fe-92d18392af26 · outbound

This paper cites an unresolved cited work.

Stochastic Quantum Hamiltonian Descent Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:49:01.129958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation cab974c3-5d1f-4d50-b6c6-de8d2f1652a0 · outbound

This paper cites van Apeldoorn and A.

Stochastic Quantum Hamiltonian Descent van Apeldoorn and A

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:49:00.858853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation df3d944c-eb17-4886-8703-52585d3d4b6d · outbound

This paper cites van Apeldoorn, A.

Stochastic Quantum Hamiltonian Descent van Apeldoorn, A

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:49:00.553902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 78fb0057-210b-47fe-8889-04e3324c9d20 · outbound

This paper cites Augustino, G.

Stochastic Quantum Hamiltonian Descent Augustino, G

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:49:00.269198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation df66f52e-40cf-423e-a1e6-33671d78b49e · outbound

This paper cites A quantum central path algorithm for linear optimization.

Stochastic Quantum Hamiltonian Descent A quantum central path algorithm for linear optimization

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T15:48:50.932546Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 754b99a0-5299-4adf-b996-09b2df33e02c · outbound

This paper cites Improvements to Quantum Interior Point Method for Linear Optimization.

Stochastic Quantum Hamiltonian Descent Improvements to Quantum Interior Point Method for Linear Optimization

Reference 20

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T15:48:55.350892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 38522f5f-14c0-43b7-827e-4f40f6a46209 · outbound

This paper cites Apers and S.

Stochastic Quantum Hamiltonian Descent Apers and S

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T15:48:51.172476Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 55a6cac9-100d-4974-a012-d714808aca36 · outbound

This paper cites Bouland, Y.

Stochastic Quantum Hamiltonian Descent Bouland, Y

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:48:59.976842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bf57d3cc-bcbb-4e43-a1ab-5dcfde8dcf02 · outbound

This paper cites an unresolved cited work.

Stochastic Quantum Hamiltonian Descent Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:48:59.751713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 96be196e-aa20-40a1-b973-ec8561ecf4d7 · outbound

This paper cites Quantum automated learning with provable and explainable trainability.

Stochastic Quantum Hamiltonian Descent Quantum automated learning with provable and explainable trainability

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T15:48:51.457716Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 526b9344-46f5-4fbb-a99a-1a6ae1083504 · outbound

This paper cites Fast Convex Optimization with Quantum Gradient Methods.

Stochastic Quantum Hamiltonian Descent Fast Convex Optimization with Quantum Gradient Methods

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T15:48:51.564859Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7e8218b-481c-4fef-a5b7-c89b044b474f · outbound

This paper cites an unresolved cited work.

Stochastic Quantum Hamiltonian Descent Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:48:59.484564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 744272d5-fc88-4222-9352-b81651dd1072 · outbound

This paper cites Handbook of Convergence Theorems for (Stochastic) Gradient Methods.

Stochastic Quantum Hamiltonian Descent Handbook of Convergence Theorems for (Stochastic) Gradient Methods

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-06T15:48:51.835026Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 867fbaa4-a645-4771-940b-f308e7735468 · outbound

This paper cites Cleve and C.

Stochastic Quantum Hamiltonian Descent Cleve and C

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:48:59.238901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7a3093eb-6f67-4519-8264-279ea518026c · outbound

This paper cites Li and C.

Stochastic Quantum Hamiltonian Descent Li and C

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:48:58.991322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9ca37e44-a197-4913-b39e-a281490339ed · outbound

This paper cites an unresolved cited work.

Stochastic Quantum Hamiltonian Descent Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:48:58.695830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1a2b27b7-a29e-45d7-9cd4-602fa5352775 · outbound

This paper cites an unresolved cited work.

Stochastic Quantum Hamiltonian Descent Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-06T15:48:52.345272Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0d8996bf-d2a2-4a8c-86f8-526970ffbb10 · outbound

This paper cites an unresolved cited work.

Stochastic Quantum Hamiltonian Descent Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-06T15:48:52.509016Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc21a303-ac36-4c90-8bdc-e23b6890f1ff · outbound

This paper cites an unresolved cited work.

Stochastic Quantum Hamiltonian Descent Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-06T15:48:52.590620Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2248fde7-b348-4040-82e2-d1cdb3f32644 · outbound

This paper cites Chakrabarti, D.

Stochastic Quantum Hamiltonian Descent Chakrabarti, D

Reference 34

Resolution: verified exact; raw_fallback, observed 2026-08-06T15:48:54.877872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2aa26f5d-613e-49a3-be1c-067bfdac7137 · outbound

This paper cites an unresolved cited work.

Stochastic Quantum Hamiltonian Descent Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:48:58.392231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 84b561c2-ec6c-4a27-833e-295ae54967bf · outbound

This paper cites Malladi, K.

Stochastic Quantum Hamiltonian Descent Malladi, K

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:48:58.112280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b55248d4-4e55-4ef6-8b0c-beb3ca6b82ce · outbound

This paper cites Quantum Optimization via Gradient-Based Hamiltonian Descent.

Stochastic Quantum Hamiltonian Descent Quantum Optimization via Gradient-Based Hamiltonian Descent

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-06T15:48:53.132391Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation afcfcc84-e1d0-4269-888c-dc35822eff00 · outbound

This paper cites an unresolved cited work.

Stochastic Quantum Hamiltonian Descent Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:48:57.842853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 19b96c04-83b3-4ad8-a3b9-ee88843960f7 · outbound

This paper cites Bourgain, On growth of sobolev norms in linear schr¨ odinger equations with smooth time dependent po- tential, Journal d’Analyse Math´ ematique77, 315 (1999).

Stochastic Quantum Hamiltonian Descent Bourgain, On growth of sobolev norms in linear schr¨ odinger equations with smooth time dependent po- tential, Journal d’Analyse Math´ ematique77, 315 (1999)

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:48:57.598924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 068e311c-e31b-4005-971c-c17cca5a4ee6 · outbound

This paper cites I + η LGD + η 2 ˙LGD + η2 LN OISE+ 1 2 L2 GD # [ρk] + O(η3) (D40) =.

Stochastic Quantum Hamiltonian Descent I + η LGD + η 2 ˙LGD + η2 LN OISE+ 1 2 L2 GD # [ρk] + O(η3) (D40) =

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:48:57.276724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bf32aa28-0adf-4562-8f62-b22f323fb53f · outbound

This paper cites The computational basis in the Hilbert space is labeled by ˜C = [x1,.

Stochastic Quantum Hamiltonian Descent The computational basis in the Hilbert space is labeled by ˜C = [x1,

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:48:57.020737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d1bb6699-7a2a-475e-b656-9155af84a2e1 · outbound

This paper cites an unresolved cited work.

Stochastic Quantum Hamiltonian Descent Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:48:56.811737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f51ac3ca-fa86-43dd-9b03-e95e0f707938 · outbound

This paper cites an unresolved cited work.

Stochastic Quantum Hamiltonian Descent Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:48:56.558394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e3c16a53-9286-4dae-b078-f775573a8a5c · outbound

This paper cites The results in Figure 5 show that SQHD with a smaller learning rate has smaller fluctuation.

Stochastic Quantum Hamiltonian Descent The results in Figure 5 show that SQHD with a smaller learning rate has smaller fluctuation

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:48:56.322304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 34da9b02-0a4e-4b55-86df-e97d8f533189 · outbound

This paper cites The results in Figure 6 show that the solution quality of SQHD is not affected by the change of resolution.

Stochastic Quantum Hamiltonian Descent The results in Figure 6 show that the solution quality of SQHD is not affected by the change of resolution

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:48:56.134086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b667ef7e-bb18-46f5-8e9f-3a9aa976bc84 · outbound

This paper cites an unresolved cited work.

Stochastic Quantum Hamiltonian Descent Unresolved cited work

Reference 46

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:48:55.920394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

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