Paper Citation Record · LEDGER

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation

As of 20 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2608.02130.

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

pith.paper-citation-record.v1
2608.02130 v1

Coverage vector

measured 35 of 35 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T14:45:40.200948Z

measured 35 of 35 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

35 of 35 outbound references displayed

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External citation measurements

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Outbound references

Observation 5b8720ad-5771-44b0-9536-d4aa50c86652 · outbound

This paper cites Physical review letters103(15), 150502 (2009).

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation Physical review letters103(15), 150502 (2009)

Reference 1

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Observation 848951e7-6e6f-4922-b17f-e657aea6ed11 · outbound

This paper cites Hamiltonian Simulation Using Linear Combinations of Unitary Operations.

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation Hamiltonian Simulation Using Linear Combinations of Unitary Operations

Reference 2

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Observation 65cf0d48-6678-44f7-b74a-7060b1130162 · outbound

This paper cites In: Proceedings of the Forty-sixth Annual ACM Symposium on Theory of Computing, pp.

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation In: Proceedings of the Forty-sixth Annual ACM Symposium on Theory of Computing, pp

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T14:45:36.267580Z

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Observation d254c8d8-3182-444c-a278-fbc3cad0a2dd · outbound

This paper cites Quantum3, 163 (2019) 14.

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation Quantum3, 163 (2019) 14

Reference 4

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Observation 63a84c7a-3c22-412c-a191-2012d7ee855e · outbound

This paper cites In: Pro- ceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing, pp.

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation In: Pro- ceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing, pp

Reference 5

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Observation 9996d70c-3109-4463-acae-cc28cf42361b · outbound

This paper cites Proceedings of the National Academy of Sciences118(35), 2026805118 (2021).

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation Proceedings of the National Academy of Sciences118(35), 2026805118 (2021)

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T14:45:36.751585Z

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Observation 5f9a44d7-21b8-4071-a51d-8a81a2af571c · outbound

This paper cites Quantum simulation of partial differential equations via Schrodingerisation.

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation Quantum simulation of partial differential equations via Schrodingerisation

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T14:45:36.902883Z

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Observation a3fd270a-97a0-47c4-8a20-e398b52cb966 · outbound

This paper cites Quantum8, 1563 (2024).

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation Quantum8, 1563 (2024)

Reference 8

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Observation 6d9e2abd-dacb-49ba-93f0-ce092cf0d405 · outbound

This paper cites Computer Physics Communications309, 109498 (2025).

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation Computer Physics Communications309, 109498 (2025)

Reference 9

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Observation a272898c-f77a-4fdf-9a30-56654cefb864 · outbound

This paper cites arXiv preprint arXiv:2511.09939 (2025).

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation arXiv preprint arXiv:2511.09939 (2025)

Reference 10

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Observation 18645922-4f2b-42dc-a2d1-9d010cbb5e32 · outbound

This paper cites Quantum algorithms for general nonlinear dynamics based on the Carleman embedding.

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T14:45:37.338636Z

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Observation 5839c79f-6cc0-4ffa-9938-835a92458d13 · outbound

This paper cites Physical Review Research7(2), 023262 (2025).

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation Physical Review Research7(2), 023262 (2025)

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T14:45:37.409731Z

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Observation 83d2ffa9-5bfc-440d-a80b-6cca85590a06 · outbound

This paper cites arXiv preprint arXiv:2512.21033 (2025).

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation arXiv preprint arXiv:2512.21033 (2025)

Reference 13

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Observation 4c9a97bd-12f2-4623-98ca-d74d6ef28665 · outbound

This paper cites Quantum8, 1509 (2024).

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation Quantum8, 1509 (2024)

Reference 14

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Observation 51c5d5ef-f3c9-4ec1-80db-4a302e51b3f2 · outbound

This paper cites arXiv preprint arXiv:2512.03758 (2025).

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation arXiv preprint arXiv:2512.03758 (2025)

Reference 15

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Observation cc18ef12-b7f1-47b2-b337-0fb669f00668 · outbound

This paper cites budinski.

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation budinski

Reference 16

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Observation daf111c4-20f6-43e8-a8de-4564bcd1d627 · outbound

This paper cites m¨ oller.

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation m¨ oller

Reference 17

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Observation 22275c48-8957-4ceb-9b96-9963b6b758cb · outbound

This paper cites npj Quantum Information (2025).

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation npj Quantum Information (2025)

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T14:45:38.183007Z

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Observation b2e641a2-eefc-48b2-a98d-26e8360630ae · outbound

This paper cites Computers & Fluids286, 106476 (2025).

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation Computers & Fluids286, 106476 (2025)

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T14:45:38.357920Z

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Observation d3a58b97-c46d-40a5-8cb8-f586d9265a6e · outbound

This paper cites arXiv preprint arXiv:2602.17303 (2026).

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation arXiv preprint arXiv:2602.17303 (2026)

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T14:45:38.508563Z

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Observation fae8c84c-4d0d-4883-98d2-401e9f1293cd · outbound

This paper cites Quantum Science and Technology10(3), 035039 (2025).

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation Quantum Science and Technology10(3), 035039 (2025)

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T14:45:38.633668Z

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Observation f5104bfb-41a7-458e-8803-b56426146db2 · outbound

This paper cites Quantum7, 955 (2023).

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation Quantum7, 955 (2023)

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T14:45:38.812275Z

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Observation 3298fe2d-561f-4504-b460-8cb85a3b2a27 · outbound

This paper cites Physical Review A112(1), 010401 (2025).

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation Physical Review A112(1), 010401 (2025)

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T14:45:38.929751Z

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Observation bf6fbc23-a2bc-45c3-91ee-5b03a4df2604 · outbound

This paper cites arXiv preprint arXiv:2602.09799 (2026).

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation arXiv preprint arXiv:2602.09799 (2026)

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T14:45:39.011540Z

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Observation 192a43ea-cddd-4ec2-8c1a-d16d26dc6140 · outbound

This paper cites Physical Review A110(1), 012430 (2024).

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation Physical Review A110(1), 012430 (2024)

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T14:45:39.102258Z

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Observation c46232ee-e03d-44d7-87a8-0d52af0691af · outbound

This paper cites Computer Physics Commu- nications, 109856 (2025).

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation Computer Physics Commu- nications, 109856 (2025)

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T14:45:39.223347Z

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Observation 902ead8b-f4c2-411f-be18-9f29d61ba836 · outbound

This paper cites In: International Conference on Quantum Engineering Sciences and Technologies for Industry and Services, pp.

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation In: International Conference on Quantum Engineering Sciences and Technologies for Industry and Services, pp

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T14:45:39.380640Z

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Observation 481f527c-a9c7-4800-973d-9271cea7ea81 · outbound

This paper cites Physical Review E112(3), 035302 (2025).

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation Physical Review E112(3), 035302 (2025)

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-04T14:45:39.478082Z

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Observation 1b7c95b1-959d-4d37-a632-aab69698f7eb · outbound

This paper cites Physics of Fluids36(10) (2024) 16.

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation Physics of Fluids36(10) (2024) 16

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-04T14:45:39.601189Z

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Observation 6c6612f8-84c7-4830-991a-e32c4d181aa2 · outbound

This paper cites Entropy27(8), 871 (2025).

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation Entropy27(8), 871 (2025)

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T14:45:39.747646Z

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Observation e3be5e27-630e-443d-923b-f2ef987149c1 · outbound

This paper cites Cambridge university press, ??? (2010).

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation Cambridge university press, ??? (2010)

Reference 31

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Observation 6554b258-2b12-45c3-8788-4bb23e1247ec · outbound

This paper cites In: Lattice Gas Methods For Partial Differential Equations, pp.

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation In: Lattice Gas Methods For Partial Differential Equations, pp

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-04T14:45:39.996986Z

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Observation 40662d4d-bd97-4b44-a8a9-f049ec4b8adb · outbound

This paper cites Journal of Computa- tional Physics, 114595 (2025).

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation Journal of Computa- tional Physics, 114595 (2025)

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-04T14:45:40.053821Z

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Observation ddb05c7c-c39f-4486-b1f0-4d50e843c43b · outbound

This paper cites Computers & Fluids299, 106688 (2025).

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation Computers & Fluids299, 106688 (2025)

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-04T14:45:40.125896Z

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Observation bcc5fc02-ac30-4bca-8c1c-e03ba08647fe · outbound

This paper cites Quantum Science and Technology11(2), 025015 (2026) 17.

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation Quantum Science and Technology11(2), 025015 (2026) 17

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-04T14:45:40.200948Z

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Pith citing papers

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