Paper Citation Record · LEDGER

On the Realization of quantum gates coming from the Tracy-Singh product

As of 14 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2412.02345.

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

pith.paper-citation-record.v1
2412.02345 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T23:45:18.905895Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

25 of 25 outbound references displayed

verified exact1
verified fuzzy19
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fc14b03f-138b-41b1-9ec0-c444b1f40460 · outbound

This paper cites Alagic, M.

On the Realization of quantum gates coming from the Tracy-Singh product Alagic, M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:45:19.215717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d7f39dd8-96f6-4ad1-af36-34b184f912f3 · outbound

This paper cites Brylinski, R.

On the Realization of quantum gates coming from the Tracy-Singh product Brylinski, R

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:45:19.204650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ef74ffc3-c632-4ba7-8dab-a75fecad180e · outbound

This paper cites Chouraqui, The Yang-Baxter equation, quantum computing and quantum en tanglement,Physica Scripta 99 (2024), n.

On the Realization of quantum gates coming from the Tracy-Singh product Chouraqui, The Yang-Baxter equation, quantum computing and quantum en tanglement,Physica Scripta 99 (2024), n

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:45:19.194412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e4c3a17a-689f-45ac-a023-b1b43d38ec95 · outbound

This paper cites Conti, G.

On the Realization of quantum gates coming from the Tracy-Singh product Conti, G

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:45:19.183717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b3be35f7-7e23-4955-98d4-11ef30e25f4a · outbound

This paper cites Quantum time dynamics mediated by the Yang-Baxter equation and artificial neural networks.

On the Realization of quantum gates coming from the Tracy-Singh product Quantum time dynamics mediated by the Yang-Baxter equation and artificial neural networks

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-11T23:45:18.943910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 199a59ec-cc30-4f93-aafd-79f8a5f47867 · outbound

This paper cites an unresolved cited work.

On the Realization of quantum gates coming from the Tracy-Singh product Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:45:19.172934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5b4e185c-a6c4-4178-9e59-1c3b0d3e1495 · outbound

This paper cites Hyland, E.G.

On the Realization of quantum gates coming from the Tracy-Singh product Hyland, E.G

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:45:19.162532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 82959a1d-83b6-4f9f-af3f-344cae5890b3 · outbound

This paper cites Kassel, Quantum groups , Graduate Texts in Mathematics 155 (1995), Springer Verlag, Berlin.

On the Realization of quantum gates coming from the Tracy-Singh product Kassel, Quantum groups , Graduate Texts in Mathematics 155 (1995), Springer Verlag, Berlin

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:45:19.152206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ddb221c6-9e1f-4efd-85a0-f7a567dc46cd · outbound

This paper cites Kauﬀman, S.J Lomonaco Jr., Quantum entanglement and topological entanglement , New J.

On the Realization of quantum gates coming from the Tracy-Singh product Kauﬀman, S.J Lomonaco Jr., Quantum entanglement and topological entanglement , New J

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:45:19.140592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 91383aef-7740-48fe-a65e-a39d07ef6246 · outbound

This paper cites Kauﬀman, S.J Lomonaco Jr., Braiding Operators are Universal Quantum Gates , New J.

On the Realization of quantum gates coming from the Tracy-Singh product Kauﬀman, S.J Lomonaco Jr., Braiding Operators are Universal Quantum Gates , New J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:45:19.127989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c32f0c8d-7d58-4db8-bbe3-6c9f7654104d · outbound

This paper cites Koning, H.

On the Realization of quantum gates coming from the Tracy-Singh product Koning, H

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:45:19.116380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2518c94a-78be-4211-992c-e71d571d346a · outbound

This paper cites Lechner, U.

On the Realization of quantum gates coming from the Tracy-Singh product Lechner, U

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:45:19.106331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3fa9b6d6-7f02-4f2f-89ea-af5c4306e7a8 · outbound

This paper cites Liu, Matrix results on the Khatri-Rao and Tracy-Singh products , Linear Algebra and its Appli- cations 289 (1999), 267-277.

On the Realization of quantum gates coming from the Tracy-Singh product Liu, Matrix results on the Khatri-Rao and Tracy-Singh products , Linear Algebra and its Appli- cations 289 (1999), 267-277

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:45:19.095786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9a6d7115-bbed-45a4-a246-b292aeb087b4 · outbound

This paper cites Magnus, H.

On the Realization of quantum gates coming from the Tracy-Singh product Magnus, H

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:45:19.083535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6242ef8d-ea4d-4ee9-9d3f-178eb0c1ecaa · outbound

This paper cites Majid, Foundations of Quantum Group Theory , Cambridge University Press, 1995.

On the Realization of quantum gates coming from the Tracy-Singh product Majid, Foundations of Quantum Group Theory , Cambridge University Press, 1995

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T23:45:18.869836Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a3271ec-4022-4daa-a87b-5e36cbab1f9d · outbound

This paper cites Maruyoshi, T.

On the Realization of quantum gates coming from the Tracy-Singh product Maruyoshi, T

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:45:19.064910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5986993e-af2b-4c92-947c-041f42115e57 · outbound

This paper cites an unresolved cited work.

On the Realization of quantum gates coming from the Tracy-Singh product Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:45:19.053367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8a00d182-b471-4e56-822d-526cd020c773 · outbound

This paper cites an unresolved cited work.

On the Realization of quantum gates coming from the Tracy-Singh product Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:45:19.042418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 974143a1-d43e-4390-be42-a8d47ed1cfe5 · outbound

This paper cites Tracy, R.P.

On the Realization of quantum gates coming from the Tracy-Singh product Tracy, R.P

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:45:19.030680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 026a4c29-1934-407a-a860-140f9baed5ec · outbound

This paper cites Turaev, The Yang-Baxter equation and invariants of links , Invent.

On the Realization of quantum gates coming from the Tracy-Singh product Turaev, The Yang-Baxter equation and invariants of links , Invent

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:45:19.018053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation daad8cda-3611-4ce1-a619-a37be1881101 · outbound

This paper cites an unresolved cited work.

On the Realization of quantum gates coming from the Tracy-Singh product Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:45:19.004462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0441acaa-24c2-48b3-9876-4003b2d212c1 · outbound

This paper cites Zhang, Integrable quantum computation , Quantum Inf.

On the Realization of quantum gates coming from the Tracy-Singh product Zhang, Integrable quantum computation , Quantum Inf

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:45:18.991971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1d14de0c-d678-4398-9749-188b47627ac8 · outbound

This paper cites Zhang, K.

On the Realization of quantum gates coming from the Tracy-Singh product Zhang, K

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:45:18.980451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation fcd9f99b-d7d3-4486-a486-89be1bebd7bc · outbound

This paper cites Zhang, K.

On the Realization of quantum gates coming from the Tracy-Singh product Zhang, K

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:45:18.968471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 029b6f75-a707-47f1-84e9-d847b51f39cb · outbound

This paper cites We prove that with the canonical partition of µ ⊗ µ and η ⊗ η into blocks, ( µ ⊗ η)⊗2 = ( µ ⊗ µ ) ⊠ (η ⊗ η): (µ ⊗ µ ) ⊠ (η ⊗ η) =      µ 11 µ µ 12 µ.

On the Realization of quantum gates coming from the Tracy-Singh product We prove that with the canonical partition of µ ⊗ µ and η ⊗ η into blocks, ( µ ⊗ η)⊗2 = ( µ ⊗ µ ) ⊠ (η ⊗ η): (µ ⊗ µ ) ⊠ (η ⊗ η) =      µ 11 µ µ 12 µ

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:45:18.956286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

No inbound Pith citation observations are available.