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Paper Citation Record · LEDGER

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

As of 20 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 2026-08-20T06:33:59.587034+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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  • unresolved44
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External citation measurements

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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

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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 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

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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

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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)

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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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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

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

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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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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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Observation 5f5bd39e-b971-4ad7-8ba4-14034d689ab5 · outbound

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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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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source=pdf_text observed=2026-08-06T22:28:02.350422Z digest=sha256:5b29ea67cd27f7a0d971c74ee505fdeac020b3517f7e35bc33043a9c41d79d94

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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Source-reported events for the cited work

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:02.579583Z digest=sha256:82e3b30169e05a0aff9aa17b0e38c94fb078dd2f19d717b1cabd7eff7bb2b155

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

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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:02.713853Z digest=sha256:b3b1c20af8439ae7d9bce6589fc237d6ee231e74ea2b3548dd7e1c44e51a4db1

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

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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:03.031142Z digest=sha256:ceeddef59b4c964d31e5b9de57b3402d2007b00eb068390e9028cba0e8e061a1

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:03.164327Z digest=sha256:48b06539f642370ab6d9d6948ecb9d5b52be60f6130d6efd1ae6c2a65f769910

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:03.268187Z digest=sha256:68b31a124ade0cc07c18b46877b524910e42de48ab1933170cdf27b5a9044704

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:03.331926Z digest=sha256:61a5be988f3f01bee47d9a89be801d6d8785a2d67f7b05cb4b66522b14b00504

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:03.405759Z digest=sha256:b7b0818d5978c05336095b020aeecfd24276af7a3246ec74aa5b7beef1833148

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:03.480849Z digest=sha256:ea87ef63a9140d8058490311fa5cd78d21cbd54c34324efc938b28b69d3f6213

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:03.566401Z digest=sha256:c4dd868f4ad114c8dcd095b3c2acc520d6e460ab462505b77b6322bec5e82541

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:03.629021Z digest=sha256:3e1bc384f4ffb671875741a6ad9c11993f13ff986090c714bb6f98a24dfb9d78

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:03.728845Z digest=sha256:02727f0b72f15f9465910c67a5d0b0654df1e1d4d9f79f303a183ba694c57bea

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:03.812890Z digest=sha256:d79b9d983d6ee7e6729b36f8974ed3b8cc876ab800ccfbaab7aff8c42f591050

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:04.006660Z digest=sha256:4edee303b1ded4cbf7d75cab1d366329f52fc5a6e43140bade5974a240f7d531

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

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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:04.138383Z digest=sha256:a7b2895b8134ec8615842d1241f657a4bebe09d5173437a23287fc2b05e0885d

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:04.191366Z digest=sha256:977d00b22ab46dff2da1857928ba35a9f111b26030f0cc0ebe57e38cd1783081

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:04.268180Z digest=sha256:6e1542969440a6a8371152263105ef46254bd8865ed787db4d6899a314426e13

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:04.358262Z digest=sha256:668824a1a7e5d10876da7dd469c96697b011aa94115c3738bbb5029bd0831726

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:04.411351Z digest=sha256:aafacb0727b6612a14c7f432b35b75b4c4d283d8a38a44c9dec576709e54344d

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:04.499891Z digest=sha256:3b38857740469c63887966627a22b4110b250f190e4cb4026b756598c305dbd8

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=sha256:76385705deb06a61c557037a06bdc9db7ac4468e1fc115d9c5bfdc9137e87204

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:04.662906Z digest=sha256:5ea670c58dde1a1ac885cd2e7840b8c62be64d8e71917a6dc716ce347b071da6

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:04.839256Z digest=sha256:df42e8d5543517fb34e5cd25a1da1bd2f9928c044dd91091a393b0f04b2ba772

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:04.924293Z digest=sha256:74dc37390af2f1d124794701a597780ae6614a218f9d6c303a41aa087c965904

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:05.016097Z digest=sha256:9123885e140be598ddda77afc5d190ee799992a1ee26092b6b28174c84b8bf50

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:05.076295Z digest=sha256:a7d7d91389bdf0e534074cb2a360d963512c349eea5529dfad35e02f335ec184

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:05.158574Z digest=sha256:58274038c388f725ad5f8cb358d7986dd1681cb2212fa963b1467fc80322a548

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:05.253602Z digest=sha256:5b670d01c00e4d24cb0cf8f926157eb02799f95e7d04648a08fd85a06050bd71

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:05.476300Z digest=sha256:4a5f9f0348db3cd387f2934ee835712d95d6096cf304bdad69c23f81da760b15

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:05.604979Z digest=sha256:47ea401a0c4a8e825fe1ba9301797bc14f2e69a1ffcc28266cef1462d6a43ef4

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:28:05.692901Z digest=sha256:a9bd1a1765e26f5e58c91504adf2e1d47cc00352a997bd07ea9f1953011408cb

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 2026-08-20T06:33:59.587034+00:00.

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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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

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