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Paper Citation Record · LEDGER

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections

As of 18 August 2026, this Paper Citation Record lists 76 of 76 outbound references and 4 inbound Pith citation observations for arXiv:2506.21751.

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

pith.paper-citation-record.v1
2506.21751 v1

Coverage vector

measured 76 of 76 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-06T22:28:06.255112Z

measured 80 of 80 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T21:47:41.001894Z

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

76 of 76 outbound references displayed

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  • verified fuzzy31
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External citation measurements

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

Outbound references

Observation d1cf09e0-77d2-4bc4-9d18-958aec1ed66f · outbound

This paper cites On a grid, this naturally induces a projection matrix by projecting directly onto basis elements.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections On a grid, this naturally induces a projection matrix by projecting directly onto basis elements

Reference 1

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Observation 5da196ba-b867-415a-bd1d-b58faf056869 · outbound

This paper cites Thus, we will continue only with bounding the error in representing a difference formula, denoted by D, using our projection method.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Thus, we will continue only with bounding the error in representing a difference formula, denoted by D, using our projection method

Reference 2

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Observation 9a294e52-870f-40de-9b92-80058375df3d · outbound

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Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

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Observation 0ac33360-ceb0-43d6-940d-1529faa8b765 · outbound

This paper cites an unresolved cited work.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

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Observation 39c7150c-2e8d-475a-be43-575b57e333ad · outbound

This paper cites (133) with the temperature distribution 𝑢(𝑥,𝑦 ;𝑡) and diffusion coefficient 𝐷 > 0; for the sake of simplicity, we choose isotropic diffusion here.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections (133) with the temperature distribution 𝑢(𝑥,𝑦 ;𝑡) and diffusion coefficient 𝐷 > 0; for the sake of simplicity, we choose isotropic diffusion here

Reference 5

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Observation c5a120bf-4eff-4a4a-94b7-2a752d3603b2 · outbound

This paper cites In order to solve the wave equation, let 𝑤(𝑥,𝑦 ;𝑡) = 𝜕𝑡𝑢(𝑥,𝑦 ;𝑡).

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections In order to solve the wave equation, let 𝑤(𝑥,𝑦 ;𝑡) = 𝜕𝑡𝑢(𝑥,𝑦 ;𝑡)

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Observation 774d68f5-76f9-443a-b140-16f2565ef4e8 · outbound

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Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

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Observation e32a297f-a825-4d77-8891-63160560fad3 · outbound

This paper cites 5 to 8 and Fig.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections 5 to 8 and Fig

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Observation a8166d32-3ca7-4b2a-a857-fe344f53983c · outbound

This paper cites Schr¨odinger picture.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Schr¨odinger picture

Reference 9

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Observation 49013b95-3aa0-4fe6-8f1b-9831eaaec21f · outbound

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Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

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Observation 0474545e-0bd0-46e6-ae19-76c4d9e000d8 · outbound

This paper cites Intuitively, simulating 𝐴𝐼(𝑡) in the interaction picture with simulation parameter𝜆𝑡 means that we simulate a highly oscillatory system, as𝜆 is large.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Intuitively, simulating 𝐴𝐼(𝑡) in the interaction picture with simulation parameter𝜆𝑡 means that we simulate a highly oscillatory system, as𝜆 is large

Reference 11

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Observation 266ac88e-91ba-4fa4-a49f-58973b20c967 · outbound

This paper cites In our work, this ‘refinement’ is expressed by a number of grid points𝑛𝑑.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections In our work, this ‘refinement’ is expressed by a number of grid points𝑛𝑑

Reference 12

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Observation 717dfb89-7dc8-4dae-9f53-c33b7e83fd8e · outbound

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Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

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Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

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Observation f435ae95-de61-401d-ba32-41a2df6ea58f · outbound

This paper cites Quantum algorithm for time-dependent differential equations using Dyson series.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Quantum algorithm for time-dependent differential equations using Dyson series

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Observation 73c634d5-aa5f-4d40-b733-00ab5e754572 · outbound

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

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Krovi, Improved quantum algorithms for linear and nonlinear differential equations, Quantum 7, 913 (2023)

Reference 16

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Observation de068427-568a-4260-beb6-20a8682797aa · outbound

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Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

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Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

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Observation 94f62b14-f013-4890-ae20-ff1e5076ffb3 · outbound

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Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

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Observation 59b20d20-8443-4347-b0ad-a73d74bc72c6 · outbound

This paper cites Compact quantum algorithms for time-dependent differential equations.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Compact quantum algorithms for time-dependent differential equations

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Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Quantum differential equation solvers: limitations and fast-forwarding

Reference 21

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Observation 866a71d5-a00c-4f3b-835f-5b0db850e3cd · outbound

This paper cites An and K.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections An and K

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Observation 4be8a82a-afeb-439b-aeae-21af3f882fc5 · outbound

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Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections An, J.-P

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Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

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Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

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Observation e4788006-e91f-4989-b493-ad8aa99b338b · outbound

This paper cites Infinite-dimensional Extension of the Linear Combination of Hamiltonian Simulation: Theorems and Applications.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Infinite-dimensional Extension of the Linear Combination of Hamiltonian Simulation: Theorems and Applications

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This paper cites Shang, N.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Shang, N

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Observation 24425612-fa82-4bdd-8a5d-130a77e9c632 · outbound

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Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

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This paper cites Bagherimehrab, K.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Bagherimehrab, K

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This paper cites Novikau and I.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Novikau and I

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Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

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Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

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Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

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Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

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Observation ef094f34-14a8-4120-819a-d75333a72261 · outbound

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

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Further improving quantum algorithms for nonlinear differential equations via higher-order methods and rescaling

Reference 35

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:28:02.464293Z digest=sha256:c80ee1581a07f59a2186ae417c92977f01ead41e6469dd38954888b51e048f74

Observation 86fb7f9f-de6c-4077-8b13-50ea252deaf7 · outbound

This paper cites an unresolved cited work.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

Reference 36

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raw_fallback, observed 2026-08-06T22:28:13.329097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:02.579583Z digest=sha256:afe8e7cd08b590994c34b1f37f691aae024d9c2b0559ca208df84eecc6500262

Observation 4bac232d-c7a5-4faa-a753-072c583727bc · outbound

This paper cites an unresolved cited work.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

Reference 37

Resolution
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raw_fallback, observed 2026-08-06T22:28:13.167541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:02.713853Z digest=sha256:75f75a0c5437afe49a83592ad01df13ab5edb109229f9f4902a906bb1915cb9c

Observation 8c4eff20-1272-4674-9e9a-e90f58a2ab8d · outbound

This paper cites Penuel, A.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Penuel, A

Reference 38

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no resolver link, observed 2026-08-06T22:28:02.834957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:28:02.834957Z digest=sha256:cd83a073b359c3cefd48fb853c5f529c209814796d8e38bc8a3ee4dd0396a8f3

Observation 7b3fe30f-f434-4a35-a8e3-7fcead84784c · outbound

This paper cites Novikau, I.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Novikau, I

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:28:12.982900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:03.031142Z digest=sha256:648b2f9a4c7a36c58bfc0643ae167a2a87fc5d85180519914834d6d4c9b153a7

Observation 3c8682dd-db55-4cd3-aada-5ddebea79efb · outbound

This paper cites an unresolved cited work.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:28:12.815781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:03.164327Z digest=sha256:90274611806e05a8c6c62b8f51e9b81509945cb62db85f3a8df1fbdf8f1fc3a3

Observation e678e611-d212-46c3-9b4a-3362607bb714 · outbound

This paper cites an unresolved cited work.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:28:12.691529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:03.268187Z digest=sha256:dcb68b377b4edd36036d23a49ad6d0586189db8e22f97db61c28fe8f68a39a1c

Observation ae162be8-eefc-47bd-9eed-21a3786b3e78 · outbound

This paper cites Kharazi, A.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Kharazi, A

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:28:12.516426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:03.331926Z digest=sha256:b98171d9e787ca34d839dd4264b1352f46311e3b936bfb41062549683023cf5a

Observation a903b5d7-5042-44ba-8fbc-be44e6000a28 · outbound

This paper cites Mangin-Brinet, J.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Mangin-Brinet, J

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:28:12.286975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:03.405759Z digest=sha256:2a55bf91c89d97d7f0b247f52e3d8e4a33c55169e6c501cd6b16d9d434ec8ee7

Observation 626ccc08-79e4-4a01-bb7c-4fc2b65c2b83 · outbound

This paper cites an unresolved cited work.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:28:12.096830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:03.480849Z digest=sha256:928c9f02cc1899f102f860adf2a5b8ebdc748d77a0a11a4dae5da34327351f71

Observation 5329b54c-d962-411e-bf6c-c5193a6b4ce7 · outbound

This paper cites an unresolved cited work.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:28:11.924355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:03.566401Z digest=sha256:df270f99b8c58124e5b2705e4e7d37e6b3186682704915ba114f24b13491480c

Observation 426be575-4a6d-4ab2-b276-3ef63a77565c · outbound

This paper cites Mangin-Brinet, J.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Mangin-Brinet, J

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:28:11.749539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:03.629021Z digest=sha256:dfd89ae3cac3ef7e3dd99e81251755499063d66145724fb14ac883c1fed3b43b

Observation 73dee286-261b-42bb-b4aa-dfe5ef621fe9 · outbound

This paper cites an unresolved cited work.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:28:11.628112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:03.728845Z digest=sha256:16b3613df0ec38a489b4b018f18fdd75ae20807bf85385fbd664b4540c126c6a

Observation a2fc6eee-0069-4078-818b-33bd50737dea · outbound

This paper cites Burgarth, P.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Burgarth, P

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:28:11.436877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:03.812890Z digest=sha256:a9308b79f1640c243d24639834603b4e4dfc30ed5930235459eba586b76b7efd

Observation 366a6947-8c4d-48d9-9493-75e038cb5658 · outbound

This paper cites Burgarth, P.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Burgarth, P

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-06T22:28:03.897330Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:28:03.897330Z digest=sha256:0c5f41b6d5cd766eea72945528be7038a94cd53558acf25c37f9ef322b0cce6a

Observation bcbdd369-19d9-4143-abfd-574ccac9ff7d · outbound

This paper cites Van der Sluis, Perturbations of eigenvalues of non-normal matrices, Communications of the ACM18, 30 (1975).

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Van der Sluis, Perturbations of eigenvalues of non-normal matrices, Communications of the ACM18, 30 (1975)

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:28:11.281622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:04.006660Z digest=sha256:3cb075ad837e61870cbf860a662ce25e3c685c94ccfaf4c962a5673f48e4853f

Observation 45e44d82-4c69-4129-936a-45bbfb80c514 · outbound

This paper cites an unresolved cited work.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-06T22:28:04.076689Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:28:04.076689Z digest=sha256:b6b4999b70f1bb95c09f5db6a50db48bf7b4dafa0b2f40006889511cd09db5dc

Observation f5b0bdad-6372-4c00-8792-75fe2277b463 · outbound

This paper cites Kubo, Statistical-mechanical theory of irreversible processes.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Kubo, Statistical-mechanical theory of irreversible processes

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:28:11.102714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:04.138383Z digest=sha256:1e3382766c9b40afde712c57f4dfde75e505a3723b0956bc5625c58bbfbe37de

Observation 55ed6a32-f421-44a2-80a4-5a11887f05da · outbound

This paper cites Sticlet, B.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Sticlet, B

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:28:10.974742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:04.191366Z digest=sha256:ba6f2722b2281465c0c102db6daaf13487205ac7139e29038e3527a824a1be69

Observation 475289fa-b0e7-48c4-bd90-eefb382a6245 · outbound

This paper cites an unresolved cited work.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:28:10.801119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:04.268180Z digest=sha256:5c25e76bf26ebea830ebc311652b172a9df893c3a172281d24dcb5fc5aa9c9aa

Observation 2f49c5e2-3dbf-4934-94fd-799e1f4995a6 · outbound

This paper cites an unresolved cited work.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:28:10.633890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:04.358262Z digest=sha256:71c2c9e3bbb8244ebdbeeba7b629cca3f8d377714dda89158cbf46eb72dbf261

Observation 369722a4-a2c1-470f-82fc-37c5a9bdd0ee · outbound

This paper cites Ames, Numerical Methods for Partial Differential Equations , Computer Science and Scientific Computing (Elsevier Science, 2014).

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Ames, Numerical Methods for Partial Differential Equations , Computer Science and Scientific Computing (Elsevier Science, 2014)

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:28:10.444146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:04.411351Z digest=sha256:44964b418fe6482e34b3de5ee1a98d9a7fd9c41cc7343a96ffeb7061a9823cc7

Observation 4588ae30-0482-45c1-a343-d58b769d7fbe · outbound

This paper cites Evans, J.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Evans, J

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:28:10.267545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:04.499891Z digest=sha256:223611ac0895f3257ea0b1254573a0bfe45b53157189bb3f0b4303bd82cd9355

Observation 24447a11-6283-49f3-8ace-ac152a891b75 · outbound

This paper cites Hamiltonian Simulation in the Interaction Picture.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Hamiltonian Simulation in the Interaction Picture

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-06T22:28:04.565584Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:28:04.565584Z digest=sha256:4c09acba541150b5fd97dd67f1c7239418f466599491a9d426249c48c5c4bf22

Observation 55bac430-73e1-421c-b889-c88aba7e7d66 · outbound

This paper cites Atia and D.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Atia and D

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:28:10.085157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:04.662906Z digest=sha256:fa3d67f905c9377ebbe1b16094587b3b8998760348e17b94249b244b3e952517

Observation 05de7c0c-c315-40b1-ab9f-226f613609f8 · outbound

This paper cites Gidney, Halving the cost of quantum addition, Quantum 2, 74 (2018).

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Gidney, Halving the cost of quantum addition, Quantum 2, 74 (2018)

Reference 60

Resolution
unresolved
no resolver link, observed 2026-08-06T22:28:04.751469Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:28:04.751469Z digest=sha256:274f762e14f0ff2d330d6aa732b708fb80fbccb7e82abbecb4a9231826864d96

Observation a577a596-1738-4fa5-851c-49da86320b17 · outbound

This paper cites an unresolved cited work.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

Reference 61

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:28:09.870229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:04.839256Z digest=sha256:da1fcf5c0707db605355ea9b514407879830e65fb59ce730165058ebc4fff3d9

Observation 0a9a6100-46df-417b-bafc-3e073faef3fe · outbound

This paper cites Cen and Q.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Cen and Q

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:28:09.692031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:04.924293Z digest=sha256:4b326f94d8865bbb486eaf220f587f6e35d3a6ed75f964c6b98e24d613d36419

Observation bfc934a2-7da2-45cb-8326-b63c4ec5a151 · outbound

This paper cites Gustafson and T.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Gustafson and T

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:28:09.484291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:05.016097Z digest=sha256:8722f8fd24f77843672b0a993ea270ddc0774fb4e95e22d7befd6ece2be7b738

Observation c9d6efa0-b8e6-403d-831a-15fad2b8e4a0 · outbound

This paper cites Linden, A.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Linden, A

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:28:09.310797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:05.076295Z digest=sha256:eb720667eab472b7717e528f24ac89dae9cacd2cf8414891f8d6a7394c0e51e5

Observation 144c1bfc-aad6-4547-a457-5e8923ddbd0d · outbound

This paper cites Babbush, D.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Babbush, D

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:28:09.135107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:05.158574Z digest=sha256:1320995672b6ff40a4ec83654e9c2e166c425af33a20f112b9ca0e89683098a8

Observation 080136ec-fa14-4c65-b590-8ac18e3334f6 · outbound

This paper cites Bogacki and L.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Bogacki and L

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:28:08.959807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:05.253602Z digest=sha256:0d0180a0b216ed3f6809dc3ec26199007678e0b4b9407939a5e5ccae6243c66f

Observation 1b38f019-9dfb-4a13-9c40-f78201f21f2a · outbound

This paper cites an unresolved cited work.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-06T22:28:05.342020Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:28:05.342020Z digest=sha256:3e1f3bf8c6417fb5d3a69130e09a3a2e0e87d5e4216a41a41fbe7bdfaf7c50ef

Observation c7b99530-52a9-4715-aa98-643aca4f397f · outbound

This paper cites Gily ´en, Y.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Gily ´en, Y

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:28:08.769149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:05.476300Z digest=sha256:39961ed8aa752fe3ff793777d4b1a18f3f67f6d260c618760b4a3e0ac5abd7a7

Observation 1db8ea20-8661-4e06-be73-45a4de458cb2 · outbound

This paper cites an unresolved cited work.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

Reference 69

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:28:08.532685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:05.604979Z digest=sha256:303166c9279adea25a7ff88321cb565106f5cb5b0c48069f2dd379bc4f6c8260

Observation 06812613-4b7d-4a76-abbc-e91371834a12 · outbound

This paper cites an unresolved cited work.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

Reference 70

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:28:08.319925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:05.692901Z digest=sha256:dbc9502951a273a4522aaa836d17e15c3eb15e70484d975e1280bb383a81a342

Observation 34bac54f-2f34-41fa-8225-c038369990c7 · outbound

This paper cites Riss and H.-D.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Riss and H.-D

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:28:08.102743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:28:05.813151Z digest=sha256:d78e7879ec2939401a747cd5de928b5878019a578fb401ae5003c6561c16a913

Observation 6093fed4-7765-43f5-9d32-274216228f98 · outbound

This paper cites Baer, findiff software package (2018), https://github.com/maroba/findiff.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Baer, findiff software package (2018), https://github.com/maroba/findiff

Reference 72

Resolution
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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 230a42e8-40ef-4cd6-95c4-624e257d1484 · outbound

This paper cites Dattoli, A.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Dattoli, A

Reference 73

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation f26f47cc-72a7-4d2a-ac18-7f79b497ca81 · outbound

This paper cites an unresolved cited work.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

Reference 74

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation b3a92347-8f73-42dd-bd95-c37fe02b78bf · outbound

This paper cites an unresolved cited work.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

Reference 75

Resolution
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raw_fallback, observed 2026-08-06T22:28:07.578563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation b3f042e8-74bc-44f5-82f9-0078d19dabbf · outbound

This paper cites an unresolved cited work.

Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections Unresolved cited work

Reference 76

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Pith citing papers

Observation 48e01d9c-2de3-46a7-a691-b30ec0ff7262 · 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 Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections

Reference 52

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 51fe8850-d60e-4a62-9146-75b38d4a6b58 · 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 Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections

Reference 34

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation ec9b0f43-fefe-4c7e-ac88-f7fe6a55bba9 · inbound

How to make quantum cheese: efficient geometry oracles for exponentially many pseudorandom microstructures cites this paper.

How to make quantum cheese: efficient geometry oracles for exponentially many pseudorandom microstructures Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections

Reference 31

Resolution
verified exact
arxiv_id, observed 2026-06-28T22:12:41.254673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 5ba15654-65d4-4039-b21c-10297b0304a9 · 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 Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections

Reference 28

Resolution
verified exact
arxiv_id, observed 2026-06-27T05:10:34.834447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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