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Paper Citation Record · LEDGER

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup

As of 14 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2607.14308.

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

pith.paper-citation-record.v1
2607.14308 v2

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T02:40:01.978372Z

measured 32 of 32 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-31T07:47:18.817329Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

31 of 31 outbound references displayed

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Outbound references

Observation f6c8a83d-3838-45d0-88d9-a8ee2d0d4b0e · outbound

This paper cites an unresolved cited work.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup Unresolved cited work

Reference 1

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source=pdf_text observed=2026-08-02T02:39:56.803149Z digest=sha256:70dc22b7985729c34e6e4a4c8069c47b8eb6d6936619b6365b3b1bb2fca13364

Observation f877b256-53ee-44a5-a14f-5daad211c1fa · outbound

This paper cites The precise statement is now given.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup The precise statement is now given

Reference 2

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source=pdf_text observed=2026-08-02T02:39:56.998318Z digest=sha256:1475d606250e4e8c453d28850b7d363b15ddf0e643dbb86f5b3ab8b95ed6dbe3

Observation 6c6bbce2-f8c1-4d02-9127-4379ec7b9b7b · outbound

This paper cites We make the natural choice of a hard-core cut-off for∥x∥ ≤a, whereais the cut-off scale.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup We make the natural choice of a hard-core cut-off for∥x∥ ≤a, whereais the cut-off scale

Reference 3

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Observation da9ec89f-6104-45ec-a981-2ca95003fd6e · outbound

This paper cites , NF}3, each spatial variable is represented by a finite Fourier series.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup , NF}3, each spatial variable is represented by a finite Fourier series

Reference 4

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source=pdf_text observed=2026-08-02T02:39:57.488256Z digest=sha256:203c27e46a764cd5ac942f189b3dbf466a7ced771218b5263fc288a8b68c0a47

Observation a2e3c833-9b7b-441d-a4e8-5a8229493f97 · outbound

This paper cites We assume for simplicity that a given matrix transforms definite numbers of qubits, so the dimensions are power of 2.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup We assume for simplicity that a given matrix transforms definite numbers of qubits, so the dimensions are power of 2

Reference 5

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source=pdf_text observed=2026-08-02T02:39:57.683408Z digest=sha256:146f16e887f2967aa223e04da5b3ed84b639660de6e518071e46fbfb53da9319

Observation 91b42c5c-fa8d-4400-9fdc-f15f5f9df7e9 · outbound

This paper cites an unresolved cited work.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup Unresolved cited work

Reference 6

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source=pdf_text observed=2026-08-02T02:39:57.910330Z digest=sha256:b80839429d7342fa0e0e8da9a3365d9f83d3a605064bd053432b35dda83228e7

Observation 91694e7a-c7a8-4c6b-9fdb-0fe842e528ee · outbound

This paper cites blocks” associated to well-separated points and small “blocks.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup blocks” associated to well-separated points and small “blocks

Reference 7

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Observation 18b2f147-f3b8-4bf6-80fb-f5bb596fe58c · outbound

This paper cites an unresolved cited work.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup Unresolved cited work

Reference 8

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Observation 966b1d39-2236-4ecc-a674-6aab7f895f2f · outbound

This paper cites 49 referenceadjacent(8 clusters)𝑙=4(27 clusters)𝑙=3(27 clusters)𝑙=2(7 clusters) FIG.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup 49 referenceadjacent(8 clusters)𝑙=4(27 clusters)𝑙=3(27 clusters)𝑙=2(7 clusters) FIG

Reference 9

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source=pdf_text observed=2026-08-02T02:39:58.397383Z digest=sha256:8a0e3ba7810af33a892f6ff92fee582ae63c0c4449b9b3d42aae34a3d4bc8922

Observation c7b86913-d671-4661-b67c-1e6e27947136 · outbound

This paper cites an unresolved cited work.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup Unresolved cited work

Reference 10

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source=pdf_text observed=2026-08-02T02:39:58.566349Z digest=sha256:85f8705e4a6979ee1ce5e0324cdf361e07f4b3115cc22bab07fad0a5b1485d56

Observation 3b5ac177-7a55-486d-b0e6-c717ee3927ec · outbound

This paper cites an unresolved cited work.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup Unresolved cited work

Reference 11

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Observation 37371323-8ae3-4786-9369-09627c03be3d · outbound

This paper cites an unresolved cited work.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup Unresolved cited work

Reference 12

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Observation 3944e99c-63ff-405b-9e46-1bb6c61488ee · outbound

This paper cites clusters.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup clusters

Reference 13

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Observation f5214dd7-2215-435d-9321-37ac68f54dd0 · outbound

This paper cites an unresolved cited work.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup Unresolved cited work

Reference 14

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Observation 5440e46d-3bbf-41ce-925c-42d5897ad8c6 · outbound

This paper cites an unresolved cited work.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup Unresolved cited work

Reference 15

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Observation bc38af62-0a4f-4c24-985f-6bebbf87547e · outbound

This paper cites an unresolved cited work.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup Unresolved cited work

Reference 16

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Observation 72fd186e-a502-450f-b084-bb1489a2d18a · outbound

This paper cites an unresolved cited work.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup Unresolved cited work

Reference 17

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Observation 8a9862c5-b6c8-4cca-9998-d9da86b7facf · outbound

This paper cites ,2l −1, and all clusters are disjoint.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup ,2l −1, and all clusters are disjoint

Reference 18

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Observation a32a81d1-0ef5-4244-8e6d-c096fb87ce57 · outbound

This paper cites internal.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup internal

Reference 19

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Observation 141b6919-4000-4008-8ec6-43e1c5e672fc · outbound

This paper cites To handle this neatly we give a theorem that is sufficiently flexible to accommodate all cases of interest here.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup To handle this neatly we give a theorem that is sufficiently flexible to accommodate all cases of interest here

Reference 20

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Observation 0271b721-09ec-4a03-8d6e-8680e2091c8f · outbound

This paper cites an unresolved cited work.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup Unresolved cited work

Reference 21

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Observation 7f3baa34-a42e-4da6-a30f-016fa114ec3c · outbound

This paper cites We explained how this can be obtained from a block-encodingU K of the real-space dataKdefined earlier, through controlled discrete Fourier transforms.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup We explained how this can be obtained from a block-encodingU K of the real-space dataKdefined earlier, through controlled discrete Fourier transforms

Reference 22

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Observation a7d39144-12b1-4e97-b417-75ce60abee09 · outbound

This paper cites Then, d dt M(t) =−νM(t).(G1) Consequently, M(t) = e −νtM(0).(G2) In particular, ifM(0) = 0, thenM(t) = 0for allt∈[0, T].

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup Then, d dt M(t) =−νM(t).(G1) Consequently, M(t) = e −νtM(0).(G2) In particular, ifM(0) = 0, thenM(t) = 0for allt∈[0, T]

Reference 23

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Observation 44f8e56a-3930-4b7c-8348-5549e5464fba · outbound

This paper cites an unresolved cited work.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup Unresolved cited work

Reference 24

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Observation 575ec138-e0a2-4734-bc73-3eb28df6c138 · outbound

This paper cites an unresolved cited work.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup Unresolved cited work

Reference 25

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Observation 2caab783-2a64-45a6-b28a-a2fb8388ce42 · outbound

This paper cites Moreover, the initial data (8) satisfies (67) att= 0.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup Moreover, the initial data (8) satisfies (67) att= 0

Reference 26

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Observation 5f1439ca-7fba-4c2e-91d5-a9b54e43ed9b · outbound

This paper cites an unresolved cited work.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup Unresolved cited work

Reference 27

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Observation b9aba1d2-10bb-454a-8299-fb82ce63f9c8 · outbound

This paper cites Since the partial sums (H38) are monotone increasing inN F andN H, we also obtain sup (NF,NH)∈N2 ∥u0∥2 2 = X n∈Z3 α∈N3 0 |gn,α(0)|2.(H39) Combining (H36) and (H39) gives (H35).

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup Since the partial sums (H38) are monotone increasing inN F andN H, we also obtain sup (NF,NH)∈N2 ∥u0∥2 2 = X n∈Z3 α∈N3 0 |gn,α(0)|2.(H39) Combining (H36) and (H39) gives (H35)

Reference 28

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Observation 7a5704d7-9d09-48fb-9f68-e4bf6edbf679 · outbound

This paper cites For any subset Ω⊆Z 3×N3 0, define the truncation operatorT Ω through its Fourier-Hermite coefficients, by (TΩg)n,α := ( gn,α (n,α)∈Ω, 0 (n,α)/∈Ω.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup For any subset Ω⊆Z 3×N3 0, define the truncation operatorT Ω through its Fourier-Hermite coefficients, by (TΩg)n,α := ( gn,α (n,α)∈Ω, 0 (n,α)/∈Ω

Reference 29

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Observation 669f1232-2055-4f54-a34e-1ced982d0aa1 · outbound

This paper cites an unresolved cited work.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup Unresolved cited work

Reference 30

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Observation 8dfbb960-de95-4107-b1d0-c82a2019cda7 · outbound

This paper cites We must therefore construct a state preparation routine for the normalized state| ¯ℓK,k⟩.

An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup We must therefore construct a state preparation routine for the normalized state| ¯ℓK,k⟩

Reference 31

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source=pdf_text observed=2026-08-02T02:40:01.978372Z digest=sha256:db2f4802dec66bc10d8b1aec4378eb4fa7bcaad75525d2659993f0f2f301e5ce

Pith citing papers

Observation 2ac84d3b-5ff3-4229-9c5e-343c03d3d962 · 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 An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup

Reference 35

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