Paper Citation Record · LEDGER

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

As of 5 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 16 inbound Pith citation observations for arXiv:2509.07155.

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

pith.paper-citation-record.v1
2509.07155 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 16 of 16 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T14:45:37.338636Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T19:27:32.390931Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 5b0132b5-aa98-4441-adda-bae41d82dd7c · inbound

Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation cites this paper.

Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 43

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T15:21:06.529356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation ee1bbd17-7bd6-40c2-9162-dc2b72d46860 · inbound

Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation cites this paper.

Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 43

Resolution: metadata mismatch; arxiv_id, observed 2026-05-12T05:26:24.628341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 5b8cfe0d-4e47-483f-a3b0-e621b1cb1de4 · inbound

Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation cites this paper.

Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 51

Resolution: verified exact; arxiv_id, observed 2026-05-21T00:33:52.700043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 653f4ca9-c2a1-48a6-867f-b5525f2c78b0 · inbound

Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation cites this paper.

Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 53

Resolution: verified exact; arxiv_id, observed 2026-07-01T08:35:33.739362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation f6078f36-7fae-4a53-abfc-ea3d0ed02b1e · inbound

Nonlinear semigroups with unbounded generators under Carleman linearization cites this paper.

Nonlinear semigroups with unbounded generators under Carleman linearization Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 7

Resolution: metadata mismatch; arxiv_id, observed 2026-05-12T10:46:31.088830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 241ebde1-9fa0-4c6f-b71a-57dcf112165d · inbound

Quantum Koopman Algorithms cites this paper.

Quantum Koopman Algorithms Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 41

Resolution: verified exact; arxiv_id, observed 2026-05-20T10:28:11.920164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation df442035-6ebb-4d83-86d4-c46197bd0268 · inbound

Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization cites this paper.

Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 28

Resolution: metadata mismatch; arxiv_id, observed 2026-05-20T05:18:03.220706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 56c6e3a1-3f79-4ec7-87fc-b99e6faf3b70 · inbound

Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions cites this paper.

Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 37

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T03:46:32.264982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 00d61b65-4fed-4ade-83e8-2d04194e0556 · inbound

Quantum algorithms for stochastic nonlinear differential equations cites this paper.

Quantum algorithms for stochastic nonlinear differential equations Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 50

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T22:07:25.883871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 3fb984a3-abed-4ce6-ac4e-3515b93a162b · inbound

Fixing Divergence in Carleman Linearization via Analytical Continuation cites this paper.

Fixing Divergence in Carleman Linearization via Analytical Continuation Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 25

Resolution: metadata mismatch; local_arxiv, observed 2026-07-08T22:15:39.323484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 07cfe3fe-13e3-40ad-b8c0-f94c22755cf7 · inbound

Fixing Divergence in Carleman Linearization via Analytical Continuation cites this paper.

Fixing Divergence in Carleman Linearization via Analytical Continuation Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T08:28:14.172270Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f593e905-305e-4bf5-9a5b-a19e29cf4fcc · inbound

Quantum simulation of real-world nonlinear dynamics via Koopman method cites this paper.

Quantum simulation of real-world nonlinear dynamics via Koopman method Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-07-10T19:27:32.392361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation dede1c90-ff48-4de9-b689-28859270c2cd · inbound

A Scalable Approach to Solve the Carleman Linearized Burgers' Equation on a Quantum Computer cites this paper.

A Scalable Approach to Solve the Carleman Linearized Burgers' Equation on a Quantum Computer Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 57

Resolution: unresolved; no resolver link, observed 2026-07-13T01:18:30.124893Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00cc5427-5786-4601-adab-0732f52bdab5 · inbound

A Quantum Path to Partial Differential Equations cites this paper.

A Quantum Path to Partial Differential Equations Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 41

Resolution: unresolved; no resolver link, observed 2026-07-13T01:33:49.132446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 745c524b-8aba-429e-8222-532b16a98922 · inbound

Improved Convergence of Carleman-Embedded Quantum Algorithm for the Vlasov-Poisson System cites this paper.

Improved Convergence of Carleman-Embedded Quantum Algorithm for the Vlasov-Poisson System Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-31T07:47:18.758011Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation cites this paper.

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.