Paper Citation Record · LEDGER

Variational quantum algorithm for anion exchange across electrolyzer membrane

As of 23 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 1 inbound Pith citation observation for arXiv:2512.01120.

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

pith.paper-citation-record.v1
2512.01120 v2

Coverage vector

measured 57 of 57 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T19:21:59.667633Z

measured 58 of 58 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T03:37:28.522750Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

57 of 57 outbound references displayed

verified exact1
verified fuzzy0
unresolved56
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

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

Outbound references

Observation dbddc538-48fa-48b1-a76b-2c5c981bc975 · outbound

This paper cites ,˜xm−1 between the layers where discontinuities arise.

Variational quantum algorithm for anion exchange across electrolyzer membrane ,˜xm−1 between the layers where discontinuities arise

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.404556Z

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Observation a743bb04-46fa-4bdb-8653-7390b6b3b60d · outbound

This paper cites Ajk exp i λkp Dj ˜xj−1 ! +iB jk exp i λkp Dj ˜xj−1 ! # , (25) ˜Bjk = 1 2.

Variational quantum algorithm for anion exchange across electrolyzer membrane Ajk exp i λkp Dj ˜xj−1 ! +iB jk exp i λkp Dj ˜xj−1 ! # , (25) ˜Bjk = 1 2

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.409960Z

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Observation 74960353-0a99-4aee-b228-458d45ad1619 · outbound

This paper cites 0 0 0.

Variational quantum algorithm for anion exchange across electrolyzer membrane 0 0 0

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.414935Z

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Observation 50fab8c6-0869-4705-92f5-07fd5f6d77c6 · outbound

This paper cites In each iteration, the process ensures that the approximation resulting from the bisection can be progressively refined in subsequent iterations.

Variational quantum algorithm for anion exchange across electrolyzer membrane In each iteration, the process ensures that the approximation resulting from the bisection can be progressively refined in subsequent iterations

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.420195Z

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Observation 7a669609-c1ef-433f-bd9e-f16cc34c11d3 · outbound

This paper cites From the algorithmic description of the procedure, it is clear that there is one single-qubit 11 (e) (a) (b) (c) (d) FIG.

Variational quantum algorithm for anion exchange across electrolyzer membrane From the algorithmic description of the procedure, it is clear that there is one single-qubit 11 (e) (a) (b) (c) (d) FIG

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.425421Z

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Observation cec13967-ea3f-4e34-b079-8e988f4fc5f2 · outbound

This paper cites an unresolved cited work.

Variational quantum algorithm for anion exchange across electrolyzer membrane Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.471900Z

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Observation 0d02a4d6-2c70-4abd-94c4-411d64050d9f · outbound

This paper cites The inter- face position ˜x1 is chosen to be 10/11ℓas in Fig.

Variational quantum algorithm for anion exchange across electrolyzer membrane The inter- face position ˜x1 is chosen to be 10/11ℓas in Fig

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.435446Z

Source-reported events for the cited work

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Observation ad5084c8-996d-4d18-bf10-294cf9b9d528 · outbound

This paper cites an unresolved cited work.

Variational quantum algorithm for anion exchange across electrolyzer membrane Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.439722Z

Source-reported events for the cited work

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Observation 30cac651-2753-41c2-997d-09f8f3fd151c · outbound

This paper cites 11(a)-(b).

Variational quantum algorithm for anion exchange across electrolyzer membrane 11(a)-(b)

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.444489Z

Source-reported events for the cited work

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Observation 8a2885d8-f514-4707-8d2f-1724a35f4082 · outbound

This paper cites an unresolved cited work.

Variational quantum algorithm for anion exchange across electrolyzer membrane Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.449582Z

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Observation 4c813983-71a3-449d-8cda-3f9da862f20e · outbound

This paper cites El-Shafie, Hydrogen production by water electroly- sis technologies: A review, Results Engin.20, 101426 (2025).

Variational quantum algorithm for anion exchange across electrolyzer membrane El-Shafie, Hydrogen production by water electroly- sis technologies: A review, Results Engin.20, 101426 (2025)

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.454054Z

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Observation b05bdc6c-35d7-4f15-ac70-4fac8c0b6a6c · outbound

This paper cites an unresolved cited work.

Variational quantum algorithm for anion exchange across electrolyzer membrane Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.458348Z

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Observation 6bd5df9d-037e-48a0-9d3e-c7906a647c2c · outbound

This paper cites Schalenbach, W.

Variational quantum algorithm for anion exchange across electrolyzer membrane Schalenbach, W

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.462605Z

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Observation 2efe7ae5-dcf5-433a-9838-67bf6b5425c1 · outbound

This paper cites Brauns, J.

Variational quantum algorithm for anion exchange across electrolyzer membrane Brauns, J

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.466966Z

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Observation 102ee556-6f92-4459-b881-925dfd957067 · outbound

This paper cites Nielsen and I.

Variational quantum algorithm for anion exchange across electrolyzer membrane Nielsen and I

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.513239Z

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Observation 8ce91cfe-5af9-4afe-acc0-5e46b220f2bf · outbound

This paper cites an unresolved cited work.

Variational quantum algorithm for anion exchange across electrolyzer membrane Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.476438Z

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Observation f90df543-dd5c-4cd6-ac81-bbe844748987 · outbound

This paper cites Henkensmeier, W.

Variational quantum algorithm for anion exchange across electrolyzer membrane Henkensmeier, W

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.480916Z

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Observation 17dbfd54-cc05-4244-aa62-c82c0ad79472 · outbound

This paper cites Sugawara, S.

Variational quantum algorithm for anion exchange across electrolyzer membrane Sugawara, S

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.485172Z

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Observation e4f87cb2-996d-41c9-8fe4-466200aee559 · outbound

This paper cites an unresolved cited work.

Variational quantum algorithm for anion exchange across electrolyzer membrane Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.489547Z

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Observation 23ebba56-1ac6-42b4-8323-490ebc2995a4 · outbound

This paper cites Zelovich, L.

Variational quantum algorithm for anion exchange across electrolyzer membrane Zelovich, L

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.493741Z

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Unavailable: canonical work link unavailable.

Observation a0006665-60a7-47ea-b37e-4977655103ab · outbound

This paper cites Chen, Y.-L.

Variational quantum algorithm for anion exchange across electrolyzer membrane Chen, Y.-L

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.498205Z

Source-reported events for the cited work

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Observation 784dcbb4-9dd2-4ce4-b213-7e324546ca4b · outbound

This paper cites Al Otmi, P.

Variational quantum algorithm for anion exchange across electrolyzer membrane Al Otmi, P

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.502949Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e6221c73-0ebf-418c-ab8d-b7a68644a301 · outbound

This paper cites an unresolved cited work.

Variational quantum algorithm for anion exchange across electrolyzer membrane Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.507789Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 04dd8d59-a371-4c22-86a5-9bf93fd2fd3a · outbound

This paper cites Jaksch, P.

Variational quantum algorithm for anion exchange across electrolyzer membrane Jaksch, P

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.553869Z

Source-reported events for the cited work

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Observation e3797c6a-710f-4bcd-a6cc-1c6628efbd5e · outbound

This paper cites Preskill, Quantum computing in the NISQ era and beyond, Quantum2, 79 (2018).

Variational quantum algorithm for anion exchange across electrolyzer membrane Preskill, Quantum computing in the NISQ era and beyond, Quantum2, 79 (2018)

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.517712Z

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Observation 0ff44595-14ed-4c76-a726-8f3c7294c9cd · outbound

This paper cites an unresolved cited work.

Variational quantum algorithm for anion exchange across electrolyzer membrane Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.521817Z

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Unavailable: canonical work link unavailable.

Observation 92357dde-d4e4-4783-91fc-62b6bab6b413 · outbound

This paper cites Succi, W.

Variational quantum algorithm for anion exchange across electrolyzer membrane Succi, W

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.526536Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 532cd854-616e-4362-8eb4-529e8ceb1467 · outbound

This paper cites Tennie, S.

Variational quantum algorithm for anion exchange across electrolyzer membrane Tennie, S

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.530769Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a89d961d-851f-442c-a8c7-32db4f02d7d9 · outbound

This paper cites Cerezo, A.

Variational quantum algorithm for anion exchange across electrolyzer membrane Cerezo, A

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.535656Z

Source-reported events for the cited work

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Observation 6d70eaf7-05a3-4a4e-987d-bd604d890dca · outbound

This paper cites Demirdjian, D.

Variational quantum algorithm for anion exchange across electrolyzer membrane Demirdjian, D

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.539778Z

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Observation 185ed6ad-2e9e-417f-93ae-4a288eaed9a6 · outbound

This paper cites an unresolved cited work.

Variational quantum algorithm for anion exchange across electrolyzer membrane Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.544207Z

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Observation 42745d06-53bd-4c45-9661-53dfb78f53ac · outbound

This paper cites an unresolved cited work.

Variational quantum algorithm for anion exchange across electrolyzer membrane Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.548871Z

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Observation ee706eb5-5291-425a-90a2-1029acbd2d44 · outbound

This paper cites an unresolved cited work.

Variational quantum algorithm for anion exchange across electrolyzer membrane Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.593989Z

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Observation 6ec9af23-6dc0-4f29-adaa-283bf5344602 · outbound

This paper cites Ingelmann, S.

Variational quantum algorithm for anion exchange across electrolyzer membrane Ingelmann, S

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.558269Z

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Observation f5acd611-7574-4520-ad1c-13e7cc72b5d9 · outbound

This paper cites Bengoechea, P.

Variational quantum algorithm for anion exchange across electrolyzer membrane Bengoechea, P

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.562583Z

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Observation dec1d943-bcd3-48de-93c2-f1fe7cf250b3 · outbound

This paper cites an unresolved cited work.

Variational quantum algorithm for anion exchange across electrolyzer membrane Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.566839Z

Source-reported events for the cited work

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Observation 713618ae-d0f0-40d1-bf7e-9eeb23c5086f · outbound

This paper cites an unresolved cited work.

Variational quantum algorithm for anion exchange across electrolyzer membrane Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.571430Z

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Observation d6ef74cb-ae34-48e2-b97f-cb7096f1b3d1 · outbound

This paper cites an unresolved cited work.

Variational quantum algorithm for anion exchange across electrolyzer membrane Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.575845Z

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Observation 47696995-7e1b-4b67-b5ca-1eb8b825c4a7 · outbound

This paper cites Lubasch, J.

Variational quantum algorithm for anion exchange across electrolyzer membrane Lubasch, J

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.580684Z

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Observation 6233528a-b7d4-40f1-ba5d-d262e9513cc5 · outbound

This paper cites K¨ ocher, H.

Variational quantum algorithm for anion exchange across electrolyzer membrane K¨ ocher, H

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.585115Z

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Observation ccff2fe7-53f1-4a56-9f95-8d980045260d · outbound

This paper cites an unresolved cited work.

Variational quantum algorithm for anion exchange across electrolyzer membrane Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.589475Z

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Observation 74ba53d7-94ab-476d-a05b-e7b36fb84bef · outbound

This paper cites Quantum computing with Qiskit.

Variational quantum algorithm for anion exchange across electrolyzer membrane Quantum computing with Qiskit

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.636524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8316c167-bbb4-41f6-9cdf-9781ec2d3102 · outbound

This paper cites an unresolved cited work.

Variational quantum algorithm for anion exchange across electrolyzer membrane Unresolved cited work

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.430225Z

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Observation ea628f92-4c5f-4398-bc7e-99cf2d7f6a26 · outbound

This paper cites Pfeffer, P.

Variational quantum algorithm for anion exchange across electrolyzer membrane Pfeffer, P

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.598063Z

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Observation 6af68442-3fd5-4cbc-8984-bcea494e4d6c · outbound

This paper cites Shaffer, L.

Variational quantum algorithm for anion exchange across electrolyzer membrane Shaffer, L

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.602049Z

Source-reported events for the cited work

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Observation 867a99e5-4f57-462e-932e-dda5aec93b75 · outbound

This paper cites Holmes, K.

Variational quantum algorithm for anion exchange across electrolyzer membrane Holmes, K

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.606280Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1c1a8f4f-7dc4-4b97-81fb-40e0308292e8 · outbound

This paper cites an unresolved cited work.

Variational quantum algorithm for anion exchange across electrolyzer membrane Unresolved cited work

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.610721Z

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Observation d3b793f3-0881-4444-9c60-e9e954fa309b · outbound

This paper cites Bressloff, Accumulation time of diffusion in a two- dimensional singularly perturbed domain, Proc.

Variational quantum algorithm for anion exchange across electrolyzer membrane Bressloff, Accumulation time of diffusion in a two- dimensional singularly perturbed domain, Proc

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.615104Z

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Observation 29c6ce57-8f32-4045-a237-6823d31efed7 · outbound

This paper cites Physics-Informed Neural Networks: Bridging the Divide Between Conservative and Non-Conservative Equations.

Variational quantum algorithm for anion exchange across electrolyzer membrane Physics-Informed Neural Networks: Bridging the Divide Between Conservative and Non-Conservative Equations

Reference 49

Resolution: verified exact; local_arxiv, observed 2026-08-03T19:23:30.333646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 02a22d00-355f-4e0a-bcc5-6078e07fa2e6 · outbound

This paper cites an unresolved cited work.

Variational quantum algorithm for anion exchange across electrolyzer membrane Unresolved cited work

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.625560Z

Source-reported events for the cited work

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Observation 58fc21ef-cdba-4c46-a2e1-42f127927d4b · outbound

This paper cites Zindorf and S.

Variational quantum algorithm for anion exchange across electrolyzer membrane Zindorf and S

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.630646Z

Source-reported events for the cited work

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Observation 96604652-d4dd-4322-bb08-836f07445a61 · outbound

This paper cites ˙Zyczkowski and H.-J.

Variational quantum algorithm for anion exchange across electrolyzer membrane ˙Zyczkowski and H.-J

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.643215Z

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Observation 17bc6124-e48c-4bc1-b556-e73836690bca · outbound

This paper cites an unresolved cited work.

Variational quantum algorithm for anion exchange across electrolyzer membrane Unresolved cited work

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.648991Z

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Observation 2e548273-7ee5-4bee-9bb7-9d770320466d · outbound

This paper cites Liu, S.-X.

Variational quantum algorithm for anion exchange across electrolyzer membrane Liu, S.-X

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.653838Z

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Observation dd0df9d1-897f-4d8b-81d4-18f68865bcd7 · outbound

This paper cites Arrasmith, M.

Variational quantum algorithm for anion exchange across electrolyzer membrane Arrasmith, M

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.658212Z

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Observation 1a033994-8791-4108-9c12-d18ad3093abd · outbound

This paper cites Yassin, I.

Variational quantum algorithm for anion exchange across electrolyzer membrane Yassin, I

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.662861Z

Source-reported events for the cited work

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Observation c0cf7c82-5cb4-47b8-aa37-568b167a57c7 · outbound

This paper cites an unresolved cited work.

Variational quantum algorithm for anion exchange across electrolyzer membrane Unresolved cited work

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-03T19:21:59.667633Z

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Pith citing papers

Observation b9bf9c24-087b-41a0-9476-41208f6c8848 · inbound

Quantum-enhanced Markov chain Monte Carlo sampling to model Lagrangian tracer dispersion in turbulent boundary layer cites this paper.

Quantum-enhanced Markov chain Monte Carlo sampling to model Lagrangian tracer dispersion in turbulent boundary layer Variational quantum algorithm for anion exchange across electrolyzer membrane

Reference 82

Resolution: verified exact; local_arxiv, observed 2026-06-27T03:40:27.692573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.