Paper Citation Record · LEDGER

Combinatorial Optimization with Quantum Computers

As of 13 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2412.15778.

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

pith.paper-citation-record.v1
2412.15778 v2

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T11:14:57.865618Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

36 of 36 outbound references displayed

verified exact4
verified fuzzy17
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch2

External citation measurements

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Outbound references

Observation 2842ed24-7785-4420-bbd8-4d85ca46232d · outbound

This paper cites Reviews of Mod- ern Physics 90(1), 015002 (2018).

Combinatorial Optimization with Quantum Computers Reviews of Mod- ern Physics 90(1), 015002 (2018)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:58.840028Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b7a8b1e3-891c-412c-a4b7-643a80269745 · outbound

This paper cites Princeton University Press (2006).

Combinatorial Optimization with Quantum Computers Princeton University Press (2006)

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:58.818639Z

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Observation 79437377-4bd9-47d3-9529-257dfb01dc13 · outbound

This paper cites In: C´ aceres, L.P., V´ erel, S.

Combinatorial Optimization with Quantum Computers In: C´ aceres, L.P., V´ erel, S

Reference 3

Resolution: verified exact; doi, observed 2026-08-11T11:14:57.970559Z

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Observation c313b00d-f97c-4ece-96dd-4d2087873a45 · outbound

This paper cites Physical review A 52(5), 3457 (1995).

Combinatorial Optimization with Quantum Computers Physical review A 52(5), 3457 (1995)

Reference 5

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9aded3f2-4652-40b7-812c-53b690ab3a69 · outbound

This paper cites In: 2020 IEEE International Con- ference on Quantum Computing and Engineering (QCE).

Combinatorial Optimization with Quantum Computers In: 2020 IEEE International Con- ference on Quantum Computing and Engineering (QCE)

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:58.780293Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dab0b473-6f81-418e-994f-b9f253e8d8b0 · outbound

This paper cites 1356–1362.

Combinatorial Optimization with Quantum Computers 1356–1362

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-11T11:14:57.719804Z

Source-reported events for the cited work

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Observation ea4dd102-7b21-4e1b-9a4b-c1726d30a60b · outbound

This paper cites an unresolved cited work.

Combinatorial Optimization with Quantum Computers Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T11:14:57.724221Z

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Observation 6c9c3d40-a899-4a87-bade-d150774f5d8b · outbound

This paper cites Zeitschrift f¨ ur Physik51(3), 165–180 (1928).

Combinatorial Optimization with Quantum Computers Zeitschrift f¨ ur Physik51(3), 165–180 (1928)

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:58.761977Z

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Observation 655bb559-cb98-47a4-b7ee-66636f60bd96 · outbound

This paper cites Theory and Algorithms.

Combinatorial Optimization with Quantum Computers Theory and Algorithms

Reference 10

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Observation 5317862c-a45c-4b15-b6ae-7d6bc534fd8e · outbound

This paper cites In: Silva, S., Paquete, L.

Combinatorial Optimization with Quantum Computers In: Silva, S., Paquete, L

Reference 11

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Source-reported events for the cited work

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Observation e40ad0b2-3bea-4930-8f92-942dae00bc25 · outbound

This paper cites In: Affenzeller, M., Win- kler, S.M., Kononova, A.V., Trautmann, H., Tusar, T., Machado, P., B¨ ack, 30 F.

Combinatorial Optimization with Quantum Computers In: Affenzeller, M., Win- kler, S.M., Kononova, A.V., Trautmann, H., Tusar, T., Machado, P., B¨ ack, 30 F

Reference 12

Resolution: verified exact; doi, observed 2026-08-11T11:14:58.730498Z

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Observation 50eeb7fc-5cf4-4c0a-9a82-2f830b41efad · outbound

This paper cites Journal of the American Chemical Society 146(1), 1053–1061 (2024).

Combinatorial Optimization with Quantum Computers Journal of the American Chemical Society 146(1), 1053–1061 (2024)

Reference 13

Resolution: verified exact; doi, observed 2026-08-11T11:14:57.933943Z

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Observation 4f283e29-9f8c-4a75-b699-f3073eee45aa · outbound

This paper cites Nature 453(7198), 1031–1042 (2008).

Combinatorial Optimization with Quantum Computers Nature 453(7198), 1031–1042 (2008)

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:58.714755Z

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Observation 868748ca-a3cb-4c14-8438-8a39c704dd6d · outbound

This paper cites In: Affenzeller, M., Winkler, S.M., Kononova, A.V., Trautmann, H., Tusar, T., Machado, P., B¨ ack, T.

Combinatorial Optimization with Quantum Computers In: Affenzeller, M., Winkler, S.M., Kononova, A.V., Trautmann, H., Tusar, T., Machado, P., B¨ ack, T

Reference 15

Resolution: verified exact; doi, observed 2026-08-11T11:14:58.696458Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c277a4b6-9b9d-4302-8373-2510395ae3ce · outbound

This paper cites Quadratization in discrete optimization and quantum mechanics.

Combinatorial Optimization with Quantum Computers Quadratization in discrete optimization and quantum mechanics

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-11T11:14:57.758003Z

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Observation b4c914de-220a-49cf-9634-7067493fe52e · outbound

This paper cites All 4-variable functions can be perfectly quadratized with only 1 auxiliary variable.

Combinatorial Optimization with Quantum Computers All 4-variable functions can be perfectly quadratized with only 1 auxiliary variable

Reference 17

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d8b2ec97-905b-4f42-ac38-220e3287c1aa · outbound

This paper cites an unresolved cited work.

Combinatorial Optimization with Quantum Computers Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:14:58.675273Z

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Observation 15fbe69e-2718-42ea-a040-0514abd4c1ff · outbound

This paper cites Johnston, Nic Harrigan, M.G.S.: Programming Quantum Comput- ers.

Combinatorial Optimization with Quantum Computers Johnston, Nic Harrigan, M.G.S.: Programming Quantum Comput- ers

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:58.660172Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dfe322f5-f136-4acf-be3f-56632a0daac4 · outbound

This paper cites A Quantum Approximate Optimization Algorithm.

Combinatorial Optimization with Quantum Computers A Quantum Approximate Optimization Algorithm

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-11T11:14:57.773605Z

Source-reported events for the cited work

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Observation e971c831-6593-4711-86a6-34f7a75b37f6 · outbound

This paper cites International Journal of Theoretical Physics 21(6/7), 467–488 (1982).

Combinatorial Optimization with Quantum Computers International Journal of Theoretical Physics 21(6/7), 467–488 (1982)

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:58.644049Z

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Observation ebdca7d8-2123-4b36-bb69-f72bea11a216 · outbound

This paper cites an unresolved cited work.

Combinatorial Optimization with Quantum Computers Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:14:58.627727Z

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Observation eea48317-2443-4861-b82f-c1ba33bb8efb · outbound

This paper cites an unresolved cited work.

Combinatorial Optimization with Quantum Computers Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-11T11:14:57.792715Z

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Observation c5d5ad5d-1cfd-4c48-82a5-93c02dee74bd · outbound

This paper cites Journal of Mathematical Physics 48(10) (2007) Combinatorial Optimization with Quantum Computers 31.

Combinatorial Optimization with Quantum Computers Journal of Mathematical Physics 48(10) (2007) Combinatorial Optimization with Quantum Computers 31

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:58.605250Z

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Observation 52d5bab2-de56-4c27-8e60-b8f680375af6 · outbound

This paper cites Wiley (2011).

Combinatorial Optimization with Quantum Computers Wiley (2011)

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:58.581654Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 034ef47c-fbe8-4928-a0b3-97157a88ae4b · outbound

This paper cites Physical Review E 58(5), 5355 (1998).

Combinatorial Optimization with Quantum Computers Physical Review E 58(5), 5355 (1998)

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:58.562693Z

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Observation c55f41e0-f021-4c37-83bb-24ed567c9412 · outbound

This paper cites science 220(4598), 671–680 (1983).

Combinatorial Optimization with Quantum Computers science 220(4598), 671–680 (1983)

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:58.546971Z

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Observation c0e3e2fa-0918-48a8-b774-8d12b376b21e · outbound

This paper cites an unresolved cited work.

Combinatorial Optimization with Quantum Computers Unresolved cited work

Reference 29

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Observation 6eedaa1c-729a-4baa-8470-9a063342cfe8 · outbound

This paper cites an unresolved cited work.

Combinatorial Optimization with Quantum Computers Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:14:58.525384Z

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Observation 33c32b0c-5eaf-426f-b5f2-e0e4be790e3a · outbound

This paper cites npj Quantum Informa- tion 2(1), 1–8 (2016).

Combinatorial Optimization with Quantum Computers npj Quantum Informa- tion 2(1), 1–8 (2016)

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:58.498675Z

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Observation 8a665091-dd72-4047-ae12-82719ad2b567 · outbound

This paper cites In: Fieldsend, J.E., Wagner, M.

Combinatorial Optimization with Quantum Computers In: Fieldsend, J.E., Wagner, M

Reference 32

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Observation d2668f32-8be4-4cdb-92b7-750e91247f71 · outbound

This paper cites Cambridge university press (2010).

Combinatorial Optimization with Quantum Computers Cambridge university press (2010)

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:58.477293Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e408dcdd-2b1d-4be3-b651-ae903b016559 · outbound

This paper cites In: Silva, S., Paquete, L.

Combinatorial Optimization with Quantum Computers In: Silva, S., Paquete, L

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-11T11:14:57.846270Z

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Unavailable: canonical work link unavailable.

Observation 560ce831-62a1-4089-b5d6-96c57bb9784c · outbound

This paper cites Cahiers Centre Etudes Rech.

Combinatorial Optimization with Quantum Computers Cahiers Centre Etudes Rech

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:58.461112Z

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Observation 4f20c091-0a9c-41eb-a360-4677d66f11da · outbound

This paper cites Theory and practice.

Combinatorial Optimization with Quantum Computers Theory and practice

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:58.445617Z

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Observation dc7bbba6-c6ba-4786-9016-1ef70b0d5344 · outbound

This paper cites Quantum Information Pro- cessing 21(4), 141 (2022).

Combinatorial Optimization with Quantum Computers Quantum Information Pro- cessing 21(4), 141 (2022)

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:14:58.423243Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4c7a2567-0975-4048-862d-e86f0e81e9dd · outbound

This paper cites In: Silva, S., Paquete, L.

Combinatorial Optimization with Quantum Computers In: Silva, S., Paquete, L

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-11T11:14:57.865618Z

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Pith citing papers

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