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Paper Citation Record · LEDGER

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles

As of 16 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2508.17606.

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

pith.paper-citation-record.v1
2508.17606 v2

Coverage vector

measured 50 of 50 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:09:29.538291Z

measured 50 of 50 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

50 of 50 outbound references displayed

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  • verified fuzzy22
  • unresolved27
  • parse uncertain0
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External citation measurements

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Outbound references

Observation bee96ae6-86f2-4719-b585-60e9e6e79e1a · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 1

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Unavailable: canonical work link unavailable.

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Observation b5a7a6bd-502b-42ad-9623-3328506ad090 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 2

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Observation e0456ed7-7095-44a4-b826-5802d87a7b86 · outbound

This paper cites Hilbert, Die grundlagen der physik.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Hilbert, Die grundlagen der physik

Reference 3

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Observation 0e2b7f6a-569b-4ab5-86a2-174db5a81ff4 · outbound

This paper cites Noether, Invariante variationsprobleme, in Gesam- melte Abhandlungen-Collected Papers (Springer, 1983) pp.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Noether, Invariante variationsprobleme, in Gesam- melte Abhandlungen-Collected Papers (Springer, 1983) pp

Reference 4

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Observation e3e01ea8-0ce0-4c4d-b812-3fe4c293f7b9 · outbound

This paper cites Washizu, Variational Methods in Elasticity and Plas- ticity.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Washizu, Variational Methods in Elasticity and Plas- ticity

Reference 5

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Observation b6824ff0-e8a3-4736-9003-c7a223c907ec · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 6

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Observation 159068f0-c79e-4de6-b5bc-e12c2ecd2043 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 7

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Observation 2d50ed97-7375-45cd-afc5-6b95a23569ff · outbound

This paper cites Landau, E.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Landau, E

Reference 8

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source=pdf_text observed=2026-08-15T17:09:29.385338Z digest=sha256:85e922ebfca1abe2aa6104629e226897b0a5b0dfd9f48294f49781f0cf01bfaa

Observation 98044c35-7e79-44b1-9c0d-9b7911241f0f · outbound

This paper cites Tadmor, A review of numerical methods for nonlinear partial differential equations, Bulletin of the American Mathematical Society 49, 507 (2012).

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Tadmor, A review of numerical methods for nonlinear partial differential equations, Bulletin of the American Mathematical Society 49, 507 (2012)

Reference 9

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Observation 5c2bb4a6-245f-4b41-829e-58cdc263b47f · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 10

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Observation 474d842c-3bf9-431c-937d-2fe920f02282 · outbound

This paper cites De, Uncertainty quantification of locally nonlinear dy- namical systems using neural networks, Journal of Com- puting in Civil Engineering 35, 04021009 (2021).

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles De, Uncertainty quantification of locally nonlinear dy- namical systems using neural networks, Journal of Com- puting in Civil Engineering 35, 04021009 (2021)

Reference 11

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Observation 1a853ec2-046d-421f-9936-a034d951598d · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 12

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:09:29.398761Z digest=sha256:d78fd64469e9e341fe0b9044634ce78789d968394f633ba47b622cdedbfacdff

Observation 9a264ddf-2dd3-4fe7-9fb9-6b30fb6cb402 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 13

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source=pdf_text observed=2026-08-15T17:09:29.402285Z digest=sha256:abca7fce73b949d87e471150ef2cf4008e39b1a317f3d119b45f510155a969d0

Observation 6387effc-1dfb-4cdf-9fd7-6f4eccd6b45e · outbound

This paper cites Linden, A.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Linden, A

Reference 14

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Observation ed5781e3-56b9-44fc-9902-93602d064a0a · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 15

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation e533ffb3-a639-4d2b-b68f-73423d85a648 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 16

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Observation 5b251db6-c4df-43a4-84ec-d8d2ca596133 · outbound

This paper cites Gily´ en, Y.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Gily´ en, Y

Reference 17

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Observation d6c1263b-e457-4586-967e-6dff61f7ea07 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 18

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source=pdf_text observed=2026-08-15T17:09:29.420088Z digest=sha256:6f5368436db52ce0398c097fb1ec9595e3c9afa8ff8527c588a9647979b28623

Observation 8a8a5fda-e423-4849-89a1-5f658009950d · outbound

This paper cites Suba¸ sı, R.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Suba¸ sı, R

Reference 19

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Observation 7ea5d326-a890-4e46-96d9-4545cbf44148 · outbound

This paper cites Montanaro and S.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Montanaro and S

Reference 20

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Observation 8f034fad-64a4-4627-8175-75fbc7e79ea0 · outbound

This paper cites Sinha and P.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Sinha and P

Reference 21

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Observation 69ac9f36-cc21-400f-ba21-c0dee00c712e · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 22

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Observation e1f37ca2-59bc-4d22-a307-6b00f4cf05a0 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 23

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Observation 3ecac800-18ca-4483-a8c6-2e71bc795140 · outbound

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Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 24

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source=pdf_text observed=2026-08-15T17:09:29.440172Z digest=sha256:28cead0e44c492b69539b07fefaa0f25e24b32b060e00b559f699ac315e60096

Observation b50f8dc0-c611-424e-b58d-742d6bccce5b · outbound

This paper cites Engel, G.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Engel, G

Reference 25

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Observation 1930f1dd-9ca1-4201-8369-23450598bee4 · outbound

This paper cites Novikau, E.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Novikau, E

Reference 26

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Observation 3ca69ce6-78b9-4499-bd3d-147a5ad1eb42 · outbound

This paper cites Miyamoto, S.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Miyamoto, S

Reference 27

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Observation e3ac5033-0c22-4151-93e8-279ac1b808d4 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 28

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 0e1d9f7f-09f7-45a6-bd86-a757f632344a · outbound

This paper cites Babbush, D.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Babbush, D

Reference 29

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Observation 0b3d8e35-0323-45e5-8840-8f835d41c1df · outbound

This paper cites Gonzalez-Conde, ´A.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Gonzalez-Conde, ´A

Reference 30

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Observation 6bf28d4e-a65f-4b0b-9d1c-13ed0f1f8847 · outbound

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

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Quantum simulation of partial differential equations via Schrodingerisation: technical details

Reference 31

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:09:29.464121Z digest=sha256:689d67096dd21761dcb7e13eb15097fc50e98c25ea7c3e4a10709d56b22ce0d1

Observation 3e650401-55d3-40f2-a32b-cddc69162ea3 · outbound

This paper cites An, J.-P.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles An, J.-P

Reference 32

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Observation 45f4194d-1f83-4018-a62d-4329e49f4b8a · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 33

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:09:29.471599Z digest=sha256:53e53cb50b2f1848c9f65a031bb914b9f93f27117d24d631b13b1c7765386444

Observation 5685c6ba-01be-44b1-955c-9441019f7312 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 34

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raw_fallback, observed 2026-08-15T17:09:29.939118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 1552afa1-1320-4880-83b7-d06bd3d9c94d · outbound

This paper cites Engel, G.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Engel, G

Reference 35

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:09:29.478723Z digest=sha256:339286b3b5c1a29bec31d69e780f6d9692d200c4740fffe8b193b0294ce24f11

Observation d65cfdbd-052c-4b11-855d-fe2d32ac8873 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 36

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:09:29.482478Z digest=sha256:388fb73794ae7a1f4bfd3c0ca3a2f80f08bfdc9491b7a0b17a78c80d9e5de563

Observation c86c185b-5bca-45b9-ac99-4ec57ceeb25b · outbound

This paper cites Further improving quantum algorithms for nonlinear differential equations via higher-order methods and rescaling.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Further improving quantum algorithms for nonlinear differential equations via higher-order methods and rescaling

Reference 37

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:09:29.486260Z digest=sha256:ca290d82406ae0a1406f7403f9ce6b2bc1691b93a49ee0d57fcab4e2991acc95

Observation 6c522e89-d12f-4390-aca3-27b866adcdff · outbound

This paper cites Joseph, Koopman–von neumann approach to quantum simulation of nonlinear classical dynamics, Physical Re- view Research 2, 043102 (2020).

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Joseph, Koopman–von neumann approach to quantum simulation of nonlinear classical dynamics, Physical Re- view Research 2, 043102 (2020)

Reference 38

Resolution
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no resolver link, observed 2026-08-15T17:09:29.490607Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:09:29.490607Z digest=sha256:26718573fbef0cfe9ed00a05e21e81a4e415a8a250be38f2607ff3a56e89544c

Observation a51c675d-7958-4313-b1b4-934ccefae8e8 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-15T17:09:29.494289Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:09:29.494289Z digest=sha256:8d13f2db9d362ba371d06ac3553fef0259dfbc1a69c0671701b1ff6723ecca2b

Observation dff94e25-49a3-4a8e-9b04-8fa2ea8503ea · outbound

This paper cites Krovi, Improved quantum algorithms for linear and nonlinear differential equations, Quantum 7, 913 (2023).

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Krovi, Improved quantum algorithms for linear and nonlinear differential equations, Quantum 7, 913 (2023)

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-15T17:09:29.497669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:09:29.497669Z digest=sha256:a6daecb4f2258a388bfe5f7e693bd731a6717d50d57c55bbfdb9fc3e55c8365c

Observation 23d7006f-a253-411c-9ee5-ddcfe4927535 · outbound

This paper cites Endo and K.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Endo and K

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-15T17:09:29.505880Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:09:29.505880Z digest=sha256:7cc60c3de46fda5f005993b271a18e9e0d8a95c9d7962e4340fa6efe6a402404

Observation ea8de68f-45a7-4d50-8407-8e457398d4d0 · outbound

This paper cites Xue, X.-F.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Xue, X.-F

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:09:29.888501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:09:29.509168Z digest=sha256:234856bd90f4735049c2318f5d98b83cddd4af161f7522aaab33a2a991662233

Observation f9bb2352-c70d-4e6a-b894-3f857fa243b4 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 43

Resolution
verified exact
raw_fallback, observed 2026-08-15T17:09:29.677026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:09:29.512559Z digest=sha256:9c260e6bff6f965dbd7c0ea444b4ae9650ba6316e9cf4ceb0712d0ca4d9a6998

Observation 8828ebff-157a-4a4f-b7ae-ff10fc38580d · outbound

This paper cites Sanavio, R.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Sanavio, R

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:09:29.877276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:09:29.516274Z digest=sha256:2bc06a572924166cd1ec24756f17ffb2c1dbfba0678972f3cc02e641eda848c0

Observation fa652da2-ccea-4299-bf59-19a302155591 · outbound

This paper cites Itani and S.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Itani and S

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-15T17:09:29.520108Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:09:29.520108Z digest=sha256:4be9772c48fe32ee57ca9975892334bca15f760ecadea5dff0e3218aa8bd879d

Observation 62ca075e-0c25-4816-8f78-882ee9718a1c · outbound

This paper cites Itani, K.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Itani, K

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:09:29.860397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:09:29.523453Z digest=sha256:28af77d04ae9c64fbb5352e980359870b5a45cb33be553e4b0e7b749803e6300

Observation 8cdaf618-03f7-4c34-afc4-0659ca4315c0 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:09:29.849004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:09:29.526822Z digest=sha256:bf78d63006d2880645843e1d4fe506dfab4c710a285b459419cc9dffe3b49722

Observation 11f5dfa9-1a89-4bd1-b294-ffb5c9deeec8 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-15T17:09:29.531197Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:09:29.531197Z digest=sha256:c59f80761da5ac2e2df241992c5f701ad49c4293ecfdb764409ac0d969997222

Observation b11b494d-0fb5-447a-9d2a-12f59778dca2 · outbound

This paper cites an unresolved cited work.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:09:29.832513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:09:29.534684Z digest=sha256:62bce20818a9aa06b43552b6ce971a64cf1e8ab0339c727530390101f6045d87

Observation 2458cc3f-ccb4-47e1-94ed-c656844e5d3f · outbound

This paper cites (C5) ∥F3∥ =∥aV (ST−I)⊗3− (I−S)⊗3 ∥ = a∥V (ST−I)⊗3− (I−S)⊗3 ∥≤ 2 √ 10a.

Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles (C5) ∥F3∥ =∥aV (ST−I)⊗3− (I−S)⊗3 ∥ = a∥V (ST−I)⊗3− (I−S)⊗3 ∥≤ 2 √ 10a

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:09:29.821683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:09:29.538291Z digest=sha256:5d00a42573c7ac97975608cb9f250629560c504b464cb7fdc21bd8a0b77eb91d

Pith citing papers

No inbound Pith citation observations are available.