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Paper Citation Record · LEDGER

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

As of 7 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 2026-08-07T06:34:17.273281+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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Observation 1c97a6a2-8307-46da-b5aa-ee6ddd9c91fa · 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 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

Reference 15

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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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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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This paper cites Quantum differential equation solvers: limitations and fast-forwarding.

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

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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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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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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=sha256:74ff1566969a240c4c2ce31a8a6046307296d500154d635fecc63321aa9e5628

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:b777dcc7efbf79341b000df15176946ee59199f6c33b497082599c7f43d23ada

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:02.579583Z digest=sha256:a33e45d717e70b729452e51c878c6ac3f00f828375cb912eaf5e1afe69218973

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

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:02.713853Z digest=sha256:9e419cf1010dbf78369c2d62cac1a7e6401d670caddff6721612a68537c7bb62

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=sha256:74e83ce1ae5cc82992fdc958235159a87e350ff985beec6f4972dc949ab0ae41

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:03.031142Z digest=sha256:deeef7640e07aecea3bf937abd90356f2cc2ec93ec640c261a73372e20e9824e

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

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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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:03.164327Z digest=sha256:c8e2af6c424c8b96e3ad6b884e4ad3545ea84890590aa311317f81af9b7bc55d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:03.268187Z digest=sha256:ddeb1124a59b7857c9dfe7c14143b06cac6778a97aa346034d6ddab111c540af

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:03.331926Z digest=sha256:9f12762cc7e69d1a9ce8e2ab7707aa2e38247460fad84e5cb359b3e6051584ff

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:03.405759Z digest=sha256:66b8e135736c9f3c30154792487f870f56587943b55c8c5facf97612f5a3aeb4

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:03.480849Z digest=sha256:fe447fdc92fab9210ee984658e6398f72c4425de845b4c140b8cdc73d283b2b0

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:03.566401Z digest=sha256:a65ded89d6a2abbcec96b125f15c0cf81642937f205ef350a7b69e788c52b6cd

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:03.629021Z digest=sha256:0d56ecc0bbf5f44d95ac149748f1c192b0136ffd6cdcc679f2479240a50d427e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:03.728845Z digest=sha256:e58c41ecc95bab35a817b16f07164a05cb9d9ebe509f224095366893f32146c3

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:03.812890Z digest=sha256:f0b2e3149c5735a38ddef4921b99586c16dbc0d4786367ddb0dea662b7e573dd

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:c0a5a6ddd5bdd1c78f5559994653a84cd15ac8d2b244ed68aa33f27a73605a5c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:04.006660Z digest=sha256:74291893eba6f35a7dc807de230c7cce505a21b354a3da94895257e712c21a3f

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=sha256:16f6ca592581e432739be2df49c8a1b53ce3e637f6a2495f7c70744186854885

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:04.138383Z digest=sha256:8a7995716a15e5604afa24f85f01e3f586b76da728ad651a0e8cc44c9fd153de

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:04.191366Z digest=sha256:f3cf35c8fc1c692f58a4e9f9e5515536335791dcc1b3c6c5fc29a158e69b98ec

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:04.268180Z digest=sha256:38a00a9a6c0b83488f7fe87029deb00dceaa31988ffae9c4974df834deb56761

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:04.358262Z digest=sha256:ba57bba081b2dedfd447b171701d5c7dfee091b8f0434cb1716f0a0d0ed840b0

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:04.411351Z digest=sha256:da48391aa215afef8199073a90d1a77d49ec55a753cf096329872e18ac6e7b95

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:04.499891Z digest=sha256:27f69b36d5a8c40b06a301a044f35064d6a5fcd3caa806dcf7c10d801dfc9ac9

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=sha256:36a0acb958d37222add6fa56444b9db75400fdfb6bea5bc234d495547d8c7cd8

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:04.662906Z digest=sha256:0b176d3258e4463a81e26d31eb092d3ab7866d3e8eb7784d66cba079afbddc29

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=sha256:65f279710b4923eb7bfdffe51c93f1b09ddd654e2d6494418f9b472b85a7f4bc

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:04.839256Z digest=sha256:fe4594660bfeeda33537a54a2ab264ee535ea3b279148941f99649b93225476a

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:04.924293Z digest=sha256:f7d749343b72c788577042e307f0a3cecdee4cbe78d31f4ec2f1eaf7dd85b88b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:05.016097Z digest=sha256:18277eba0c37fcaf88c07adb38409f4094df927139a82b506123016bc3a65f13

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:05.076295Z digest=sha256:11de23d93077c55f102e4741944797391503f4e4dc10fbba3b2e8e524aac7064

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:05.158574Z digest=sha256:fc04e678ce9ac2de1513103adf6166f3b273221001c2a3863de963218d7ff9b3

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:05.253602Z digest=sha256:fb82b4e053e6eca91a93c620bcde591ffc9d4792901a4ef971b8095c503e9554

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:ae5517f5934758814eb52adf172fae451531d3e8f426f31fd29785e8f17e4176

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:05.476300Z digest=sha256:7029238205769d4072363fa20996492df1a1dd38213eca5c9effa364f49758aa

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:05.604979Z digest=sha256:c57ff069dffb6644318c8d2f2bfac33d584cf429a8f09862087302cd7f2ad61a

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:05.692901Z digest=sha256:186f647168323878bcb9d3ca72a0f0026bef08d62001a296e8379f498332b912

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:28:05.813151Z digest=sha256:6b2a86bd55ec17cb6f95dca531b92d17dc5cf3b32d3eb1475954147acdf14857

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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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+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

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+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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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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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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

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