Paper Citation Record · LEDGER

Fourier transform-based linear combination of Hamiltonian simulation

As of 23 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 10 inbound Pith citation observations for arXiv:2508.19596.

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

pith.paper-citation-record.v1
2508.19596 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:58:42.068828Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T15:56:00.042341Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

29 of 29 outbound references displayed

verified exact0
verified fuzzy23
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 3c244507-bead-4287-be92-78a187197df0 · outbound

This paper cites Matrix Analysis, volume 169 of Graduate Texts in Mathematics.

Fourier transform-based linear combination of Hamiltonian simulation Matrix Analysis, volume 169 of Graduate Texts in Mathematics

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:58:42.409654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5e4953d3-10ae-43a5-bae0-0b6a1713f7d4 · outbound

This paper cites an unresolved cited work.

Fourier transform-based linear combination of Hamiltonian simulation Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:58:42.399740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 854bd2e6-e74e-4f51-b903-ce3590e97436 · outbound

This paper cites Harrow, Avinatan Hassidim, and Seth Lloyd.

Fourier transform-based linear combination of Hamiltonian simulation Harrow, Avinatan Hassidim, and Seth Lloyd

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:58:42.389683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation bad5c422-0c87-4383-b444-a903dad22741 · outbound

This paper cites Berry, Andrew M.

Fourier transform-based linear combination of Hamiltonian simulation Berry, Andrew M

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:58:42.378595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 02609f9b-8a12-4ee8-a49c-4498adddc223 · outbound

This paper cites Childs and Jin-Peng Liu.

Fourier transform-based linear combination of Hamiltonian simulation Childs and Jin-Peng Liu

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:58:42.367218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 58e99b4d-8227-425b-9830-0561f521d981 · outbound

This paper cites Improved quantum algorithms for linear and nonlinear differential equations.

Fourier transform-based linear combination of Hamiltonian simulation Improved quantum algorithms for linear and nonlinear differential equations

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:58:42.356880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d4ddb9d9-4687-4fc3-a1b1-8e5a3fbef55b · outbound

This paper cites Berry and Pedro C.

Fourier transform-based linear combination of Hamiltonian simulation Berry and Pedro C

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:58:42.346387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation bc616061-2731-44c3-aa3b-4a3a4c358953 · outbound

This paper cites Quantum linear system algorithm with optimal queries to initial state preparation, 2024.

Fourier transform-based linear combination of Hamiltonian simulation Quantum linear system algorithm with optimal queries to initial state preparation, 2024

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:58:42.334955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8f291d77-70e2-4c2c-9252-3c0ad4496346 · outbound

This paper cites A quantum algorithm for linear autonomous differential equations via pad´ e approximation.Quantum, 9:1770, June 2025.

Fourier transform-based linear combination of Hamiltonian simulation A quantum algorithm for linear autonomous differential equations via pad´ e approximation.Quantum, 9:1770, June 2025

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:58:42.323441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5e7b0c6c-2340-4de1-b32d-3c5f33af7408 · outbound

This paper cites Structure-preserving quantum algorithms for linear and nonlinear hamiltonian systems, 2025.

Fourier transform-based linear combination of Hamiltonian simulation Structure-preserving quantum algorithms for linear and nonlinear hamiltonian systems, 2025

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:58:42.312639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 771fba79-d2fc-49fd-86c8-2bcea3ac3bc6 · outbound

This paper cites Time-marching based quantum solvers for time-dependent linear differential equations.

Fourier transform-based linear combination of Hamiltonian simulation Time-marching based quantum solvers for time-dependent linear differential equations

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:58:42.300020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ba27a190-e708-4b8e-b229-ad434e2cd6b0 · outbound

This paper cites Quantum simulation of partial differential equations via schr¨ odingerization.Physical Review Letters, 133:230602, 12 2024.

Fourier transform-based linear combination of Hamiltonian simulation Quantum simulation of partial differential equations via schr¨ odingerization.Physical Review Letters, 133:230602, 12 2024

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:58:42.288032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ff093b94-9987-4755-a212-93503d9672b7 · outbound

This paper cites Linear combination of hamiltonian simulation for nonuni- tary dynamics with optimal state preparation cost.

Fourier transform-based linear combination of Hamiltonian simulation Linear combination of hamiltonian simulation for nonuni- tary dynamics with optimal state preparation cost

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:58:42.274868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 619fc990-1f83-4af0-8d52-9b56fe5a737d · outbound

This paper cites Childs, and Lin Lin.

Fourier transform-based linear combination of Hamiltonian simulation Childs, and Lin Lin

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:58:42.264094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f082f64c-56bf-48a3-9797-7bf0382cbebb · outbound

This paper cites Quantum eigenvalue processing, 2024.

Fourier transform-based linear combination of Hamiltonian simulation Quantum eigenvalue processing, 2024

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:58:42.252819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 165dcab4-f1db-4347-986c-4fdcfccc1702 · outbound

This paper cites Design nearly optimal quantum algo- rithm for linear differential equations via lindbladians, 2024.

Fourier transform-based linear combination of Hamiltonian simulation Design nearly optimal quantum algo- rithm for linear differential equations via lindbladians, 2024

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T16:58:42.019885Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8f16ae35-10b1-4419-8167-bcbaa6afb457 · outbound

This paper cites On the schr¨ odingerization method for linear non-unitary dynamics with optimal dependence on matrix queries, 2025.

Fourier transform-based linear combination of Hamiltonian simulation On the schr¨ odingerization method for linear non-unitary dynamics with optimal dependence on matrix queries, 2025

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:58:42.236026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 78cfb221-f28c-4f6b-990a-0df6f481eb9f · outbound

This paper cites From linear differential equations to unitaries: A moment-matching dilation frame- work with near-optimal quantum algorithms, 2025.

Fourier transform-based linear combination of Hamiltonian simulation From linear differential equations to unitaries: A moment-matching dilation frame- work with near-optimal quantum algorithms, 2025

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-15T16:58:42.026941Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa5ad4ae-b1e1-49fb-b723-344a5bcd751a · outbound

This paper cites Qubit-efficient quantum algorithm for linear differential equations, 2025.

Fourier transform-based linear combination of Hamiltonian simulation Qubit-efficient quantum algorithm for linear differential equations, 2025

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:58:42.217125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9b8a1ca5-37c1-4541-8dfe-04b5cad60c1e · outbound

This paper cites an unresolved cited work.

Fourier transform-based linear combination of Hamiltonian simulation Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:58:42.206141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 45510227-f709-4bad-9d47-93cd3eba9399 · outbound

This paper cites Hamiltonian Simulation in the Interaction Picture.

Fourier transform-based linear combination of Hamiltonian simulation Hamiltonian Simulation in the Interaction Picture

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T16:58:42.038386Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a0493b84-fd41-4599-a506-e625147fcaf0 · outbound

This paper cites Childs and Nathan Wiebe.

Fourier transform-based linear combination of Hamiltonian simulation Childs and Nathan Wiebe

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:58:42.195000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6c12f18c-abc8-425e-a17d-b867ff91cb7c · outbound

This paper cites Childs, Robin Kothari, and Rolando D.

Fourier transform-based linear combination of Hamiltonian simulation Childs, Robin Kothari, and Rolando D

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:58:42.184824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c932e0d0-4c6b-4df6-8079-3cc4d1ea6cc8 · outbound

This paper cites A theory of quantum differential equation solvers: limitations and fast-forwarding, 2023.

Fourier transform-based linear combination of Hamiltonian simulation A theory of quantum differential equation solvers: limitations and fast-forwarding, 2023

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:58:42.173610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation de5449c4-ff25-4414-8061-31eb38a66144 · outbound

This paper cites Childs, Lin Lin, and Lexing Ying.

Fourier transform-based linear combination of Hamiltonian simulation Childs, Lin Lin, and Lexing Ying

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:58:42.161409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8220637d-4559-4b5f-b19e-199ed9fd49bb · outbound

This paper cites Infinite-dimensional extension of the linear combination of hamiltonian simulation: Theorems and applications, 2025.

Fourier transform-based linear combination of Hamiltonian simulation Infinite-dimensional extension of the linear combination of hamiltonian simulation: Theorems and applications, 2025

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:58:42.149907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 506f4d2a-7bc1-4c52-b3bf-035b6a0847cd · outbound

This paper cites Johnson, Amara Katabarwa, and Nathan Wiebe.

Fourier transform-based linear combination of Hamiltonian simulation Johnson, Amara Katabarwa, and Nathan Wiebe

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:58:42.136932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 51e0f891-80b3-4716-9d29-a9b2b777a0b9 · outbound

This paper cites Schr¨ odingerisation based computationally stable algo- rithms for ill-posed problems in partial differential equations, 2024.

Fourier transform-based linear combination of Hamiltonian simulation Schr¨ odingerisation based computationally stable algo- rithms for ill-posed problems in partial differential equations, 2024

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:58:42.125286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2d8f827b-4a51-4405-a253-d2aabb6db0d3 · outbound

This paper cites an unresolved cited work.

Fourier transform-based linear combination of Hamiltonian simulation Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:58:42.112672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

Observation f4cdc764-aee9-49be-8e0c-f7420d56db59 · inbound

Optimal quantum simulation of linear non-unitary dynamics cites this paper.

Optimal quantum simulation of linear non-unitary dynamics Fourier transform-based linear combination of Hamiltonian simulation

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-08-05T15:56:00.042341Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d9dc3d6-1717-4234-a782-0e74d7f70272 · inbound

Circuit-Efficient Randomized Quantum Simulation of Non-Unitary Dynamics with Observable-Driven and Symmetry-Aware Designs cites this paper.

Circuit-Efficient Randomized Quantum Simulation of Non-Unitary Dynamics with Observable-Driven and Symmetry-Aware Designs Fourier transform-based linear combination of Hamiltonian simulation

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-04T21:47:41.134490Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 434e25a2-81b9-4ba9-b0c6-04ba7ce2464b · inbound

Quantum Simulation of Non-Hermitian Special Functions and Dynamics via Contour-based Matrix Decomposition cites this paper.

Quantum Simulation of Non-Hermitian Special Functions and Dynamics via Contour-based Matrix Decomposition Fourier transform-based linear combination of Hamiltonian simulation

Reference 23

Resolution: metadata mismatch; arxiv_id, observed 2026-05-17T22:35:25.104885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a206d876-7ea0-4e88-8eff-034f1f579f20 · inbound

Quantum Simulation of Non-Hermitian Special Functions and Dynamics via Contour-based Matrix Decomposition cites this paper.

Quantum Simulation of Non-Hermitian Special Functions and Dynamics via Contour-based Matrix Decomposition Fourier transform-based linear combination of Hamiltonian simulation

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T22:39:58.885563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39646cf7-956a-40a5-b2aa-a193c4db663a · inbound

Quantum Simulation of Non-Unitary Dynamics via Amplitude-Phase Separation cites this paper.

Quantum Simulation of Non-Unitary Dynamics via Amplitude-Phase Separation Fourier transform-based linear combination of Hamiltonian simulation

Reference 74

Resolution: verified exact; arxiv_id, observed 2026-05-21T13:54:11.548324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0b86c05a-6f6a-4e0f-8312-95d561cda335 · inbound

Quantum Eigenvalue Transformations for Arbitrary Matrices cites this paper.

Quantum Eigenvalue Transformations for Arbitrary Matrices Fourier transform-based linear combination of Hamiltonian simulation

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-05-10T03:08:59.160591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 20b316b4-1515-4b78-ad04-a1b06b25dbba · inbound

Quantum circuits for the advection-diffusion equation with boundary conditions based on LCHS cites this paper.

Quantum circuits for the advection-diffusion equation with boundary conditions based on LCHS Fourier transform-based linear combination of Hamiltonian simulation

Reference 45

Resolution: verified exact; arxiv_id, observed 2026-05-19T22:43:15.001244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ebaa4b90-160d-4af5-a68b-d365736fef4e · inbound

From Meta Idea to Advanced Mathematical Discovery -- Human-AI Co-Discovery of Sign-Embedding Quantum Algorithms cites this paper.

From Meta Idea to Advanced Mathematical Discovery -- Human-AI Co-Discovery of Sign-Embedding Quantum Algorithms Fourier transform-based linear combination of Hamiltonian simulation

Reference 30

Resolution: metadata mismatch; arxiv_id, observed 2026-06-27T05:10:34.827087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3e1a6671-5f53-4864-a7d4-d271887d2b85 · inbound

Quantum Eigenvalue Transformation via Linear Combination of Hamiltonian Simulation: A Weyl Calculus Approach cites this paper.

Quantum Eigenvalue Transformation via Linear Combination of Hamiltonian Simulation: A Weyl Calculus Approach Fourier transform-based linear combination of Hamiltonian simulation

Reference 13

Resolution: metadata mismatch; arxiv_id, observed 2026-06-30T06:14:18.948967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation dc02c0cc-6b95-49d0-a6ba-f58cf3ba9b48 · inbound

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices cites this paper.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Fourier transform-based linear combination of Hamiltonian simulation

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T01:35:15.635370Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.