Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T16:58:45.108484Z
Paper Citation Record · LEDGER
As of 24 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 0 inbound Pith citation observations for arXiv:2412.09672.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T16:58:45.108484Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
63 of 63 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation d099cb74-d329-452f-be92-f7f8f7c038b9 · outbound
Quantum Pushforward Designs Unresolved cited work
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b78d979d-6d25-4fea-afa6-08acc3d3be2d · outbound
Quantum Pushforward Designs The weights are confirmed analytically using Proposition 6
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 46e43468-2932-4730-be89-faeb79151079 · outbound
Quantum Pushforward Designs Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0d0cb667-aaab-41ea-936d-4d3a5429c574 · outbound
Quantum Pushforward Designs Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 2f1f7121-df89-475d-b586-8a77d43a8eb3 · outbound
Quantum Pushforward Designs Unresolved cited work
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a1232379-a862-4820-9dbf-c7411d9ba9cb · outbound
Quantum Pushforward Designs From this follow three natural ways for generating random quantum channels – by random Kraus operators, random uni- tary operations, and random Choi-Jamiołkowski states [43]
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 1042d857-7c36-4d0a-bc24-49b635085b74 · outbound
Quantum Pushforward Designs Unresolved cited work
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 47c24dda-a5f9-41ec-b179-8b728e3b93d9 · outbound
Quantum Pushforward Designs Unresolved cited work
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 103c1073-ff80-49b8-89ad-c919f8a30094 · outbound
Quantum Pushforward Designs Construction 2 (Random Quantum Channels via Choi– Jamiołkowski states)
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation adff7ee4-b54f-4271-8350-b7f7a47856c2 · outbound
Quantum Pushforward Designs Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation abc7493e-09fa-484c-a022-fb76351eeea4 · outbound
Quantum Pushforward Designs Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 704ebcf2-f80e-4e65-acfe-b0c03022d2a3 · outbound
Quantum Pushforward Designs (A4) Construction 3 (Random Quantum Channels via environ- mental form)
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e690ea4f-f773-4222-9123-1f6a7b06f308 · outbound
Quantum Pushforward Designs Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 22dd3966-3df3-4d2b-9be5-e7981ecab4c8 · outbound
Quantum Pushforward Designs (A5) For Constructions 2 and 1 one needs to take note of the zero-measure sets, in which the matrices H are non-invertible and, therefore, do not adhere to the scheme
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9277ac6f-99b2-44e8-a60b-36bb08eb5e4c · outbound
Quantum Pushforward Designs Unresolved cited work
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 55bacc33-b178-4db7-8a3a-39a156d3bcac · outbound
Quantum Pushforward Designs Levenshtein, Designs as maximum codes in polynomial met- ric spaces, Acta Appl
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 7ee35310-a749-4ca8-b8db-f5cc824f9727 · outbound
Quantum Pushforward Designs Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation f29830c7-91b8-4384-9629-db71c8449cbd · outbound
Quantum Pushforward Designs Klappenecker and M
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 4782993d-8d7d-4607-869b-37e0454c44eb · outbound
Quantum Pushforward Designs Gross, K
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c119a554-ed36-4ad4-9a73-575291b5a296 · outbound
Quantum Pushforward Designs Sawicki, L
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 21025321-c329-4c0c-b205-5db613e515f1 · outbound
Quantum Pushforward Designs Durt, B.-G
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 801b4ecc-dcd0-44b3-82ea-97c0509cb722 · outbound
Quantum Pushforward Designs Webb, The Clifford group forms a unitary 3-design, Quantum Inf
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ba1cf24f-8589-4c48-b9e9-4cd642b9864c · outbound
Quantum Pushforward Designs Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 909f86c8-7258-4dac-a508-3011dcd92cfd · outbound
Quantum Pushforward Designs Seymour and T
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 445ffc4b-aa89-464d-a706-d462772987b9 · outbound
Quantum Pushforward Designs Delsarte, J
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation bd91fe62-c91d-4cba-98fe-cceb71b33563 · outbound
Quantum Pushforward Designs Levenshtein, On designs in compact metric spaces and a uni- versal bound on their size, Discrete Math
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 8eecc07d-718d-4e9a-9c3a-d7f1a02ace27 · outbound
Quantum Pushforward Designs Levenshtein, Universal bounds for codes and designs, in Handbook of Coding Theory, edited by V
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 7d79d787-b40b-4de1-9079-b002f7d79ade · outbound
Quantum Pushforward Designs Iblisdir and J
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 33882e7a-f6bd-4a24-abe8-eb1eb37b77fe · outbound
Quantum Pushforward Designs Cie ´sli´nski, S
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 93cfe6e9-89be-4549-b07e-039b15cefdef · outbound
Quantum Pushforward Designs Unresolved cited work
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 93da4a08-85b5-4dc0-882b-4333f45a002b · outbound
Quantum Pushforward Designs Unresolved cited work
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 2554aa13-c532-4825-9d87-d0f75607d3c3 · outbound
Quantum Pushforward Designs Bannai and S
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 82b53b11-ed62-4b74-a8bd-ff8460394b91 · outbound
Quantum Pushforward Designs Unresolved cited work
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 8b76d4c4-85aa-4d21-9972-2632fce03264 · outbound
Quantum Pushforward Designs Bannai and S
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 7c26c7b8-a2d6-4905-a5f1-489c1fff8d60 · outbound
Quantum Pushforward Designs Unresolved cited work
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a3d42ab1-5625-4d36-86b1-9e06929bfbf7 · outbound
Quantum Pushforward Designs Datta, S
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 91c86ba2-b1ec-4e2b-bc81-b169dfb6c982 · outbound
Quantum Pushforward Designs Zauner, Quantum designs: foundations of a noncommuta- tive design theory, International Journal of Quantum Informa- tion 09, 445 (2011)
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 8dd9e26a-38cd-4ecb-87a2-7d87ea8dc54a · outbound
Quantum Pushforward Designs SIC-POVMs from Stark Units: Dimensions n^2+3=4p, p prime
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d71ab731-1049-49bd-a744-55a5fd78e3be · outbound
Quantum Pushforward Designs Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 58643825-2b0d-45f9-84ee-9a7a7e2cb96f · outbound
Quantum Pushforward Designs Dankert, R
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 1c680004-b679-4607-83d0-ef74e44f45c5 · outbound
Quantum Pushforward Designs Collins, S
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation bfec91dc-32f8-4261-9cb4-b5264100d92f · outbound
Quantum Pushforward Designs Gottesman, The Heisenberg representation of quantum com- puters, arXiv preprint arXiv: quant-ph_9807006 (1998)
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 539425bd-8392-4197-ab4d-dc99e294f470 · outbound
Quantum Pushforward Designs Aaronson and D
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 1c84e16d-7593-4999-bb82-7d4f1b98b073 · outbound
Quantum Pushforward Designs Grier and L
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation d0e5a34d-390d-4db5-be9e-c3f9f9131eb4 · outbound
Quantum Pushforward Designs Czartowski, D
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c65e9815-8587-4131-81c2-95df98896486 · outbound
Quantum Pushforward Designs Seyfarth and K
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 29b90d63-f2a9-4581-b8d0-31cd1638113d · outbound
Quantum Pushforward Designs Collins and P
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 7d8577f8-5a37-42b0-9522-26a32ada7306 · outbound
Quantum Pushforward Designs Unresolved cited work
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 072077f2-0a41-42b0-b5ba-a9f058f7c656 · outbound
Quantum Pushforward Designs Unresolved cited work
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 95bd8763-1a49-4b0a-8b14-7fdc8e4115b2 · outbound
Quantum Pushforward Designs Unresolved cited work
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c4072d7b-d265-45c0-9b29-32030116e1b9 · outbound
Quantum Pushforward Designs Unresolved cited work
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation cc6f85ee-ca7c-4a0c-ae4a-d38379f8bbd3 · outbound
Quantum Pushforward Designs Gumann and J
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 94871130-78d5-4378-8988-3ec4078a0c22 · outbound
Quantum Pushforward Designs Sawicki, J
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 021533cb-d002-4507-96cc-aa46393fcaf8 · outbound
Quantum Pushforward Designs Markiewicz and J
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 5904d243-e08b-4817-874a-fa7546f3ae61 · outbound
Quantum Pushforward Designs Kukulski, I
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9305b969-c081-457a-9dda-e3aa5cbe9b41 · outbound
Quantum Pushforward Designs Unresolved cited work
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e4459b07-ad45-4e77-ba2f-a8a2f525ddd5 · outbound
Quantum Pushforward Designs Bruzda, V
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e64230c1-ac3c-4416-a3d4-65d139d1851e · outbound
Quantum Pushforward Designs Winter and D
Reference 60
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 988186be-d5de-4552-970d-96c959c2a366 · outbound
Quantum Pushforward Designs Czartowski, D
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 5b376324-299c-4741-90f2-7718d04c6007 · outbound
Quantum Pushforward Designs Unresolved cited work
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 2f422ad1-7fe4-4ddb-92ad-befd834ebced · outbound
Quantum Pushforward Designs ˙Zyczkowski and I
Reference 63
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 42968205-c207-46bb-a5a0-dd10b1d144c0 · outbound
Quantum Pushforward Designs Unresolved cited work
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 3ac1cd07-af8f-43ee-b4ad-66e395dbbf43 · outbound
Quantum Pushforward Designs uj.edu.pl/~czartowski/chan_des/noise_model_dict
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
No inbound Pith citation observations are available.