Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T22:43:41.944971Z
Paper Citation Record · LEDGER
As of 13 August 2026, this Paper Citation Record lists 77 of 77 outbound references and 0 inbound Pith citation observations for arXiv:2506.21108.
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 2026-08-06T22:43:41.944971Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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
77 of 77 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 61fc5d35-c857-4e69-b207-e60732cfc39d · outbound
Deterministic quantum search on all Laplacian integral graphs Thus, the complexity can be greater than O( √ N ) and therefore not optimal in certain cases
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 53552551-f063-4fc2-b989-3cc1bc76a759 · outbound
Deterministic quantum search on all Laplacian integral graphs Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4e02288a-6386-4dc8-8cc8-6ad9b28f8746 · outbound
Deterministic quantum search on all Laplacian integral graphs We will later present an interesting type of Laplacian in- tegral graphs that are not vertex-transitive and 2dL = O(N )
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 703aab26-c9d0-4dc4-a63f-74facf446e64 · outbound
Deterministic quantum search on all Laplacian integral graphs Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation da5c37b1-10f6-486c-8911-834aef357712 · outbound
Deterministic quantum search on all Laplacian integral graphs (a) Perform a CIQW (Fig
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f1034296-9cb9-4dc2-a015-b0837222ffe6 · outbound
Deterministic quantum search on all Laplacian integral graphs We first show that the quantum circuit shown in Fig
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2ffe6838-45b5-4d75-96a8-e00d981bf4b6 · outbound
Deterministic quantum search on all Laplacian integral graphs This graph has n vertices, and each vertex is connected to the other n − 1 vertices
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4fa5f7a3-91c1-456f-bd7b-51ebcba46337 · outbound
Deterministic quantum search on all Laplacian integral graphs The vertex set consists of all subset S of [ n] := {1, 2,
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 43713274-3935-4c54-b891-aaea6752ebfb · outbound
Deterministic quantum search on all Laplacian integral graphs The vertex set con- sists of all subset S of [n] := {1, 2,
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d1b28129-e97c-4cc6-8d69-a2935f3afa19 · outbound
Deterministic quantum search on all Laplacian integral graphs The vertex set con- sists of all d-tuples (x1,
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b7ecdfe5-c71a-42d5-aef4-0654547c8f52 · outbound
Deterministic quantum search on all Laplacian integral graphs Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7a8da181-6b2f-498f-bb8b-eba46a319872 · outbound
Deterministic quantum search on all Laplacian integral graphs It is the Cartesian prod- uct Km□Kn of the m-vertex complete graph Km and the n-vertex complete graph Kn
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c1dd8bfa-246b-4910-861c-20e7242a86fb · outbound
Deterministic quantum search on all Laplacian integral graphs It is the Cartesian product of an n-vertex complete graph Kn with a square graph Q2
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b8bfe7cc-9d4c-4d13-a838-f66f404a99a1 · outbound
Deterministic quantum search on all Laplacian integral graphs The vertex set is V = {(u, b) : u ∈ [n], b= 0, 1}, and each vertex (u, b) is connected to all the other (2 n − 2) ver- tices except the vertex ( u, 1 − b)
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fb8f39ef-91fd-45c0-9014-121ffa1debc9 · outbound
Deterministic quantum search on all Laplacian integral graphs The n vertices are equally divided into k classes, and each vertex v is connected to the other ( n − n/k) vertices that are not in the same class as v
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 581a559b-6618-4b2c-8c77-166a6a9d8d85 · outbound
Deterministic quantum search on all Laplacian integral graphs It is a tree with one node having degree n and the other n vertices having degree 1
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 99c3f443-c03a-4f0d-b5a7-0516cc3fff2b · outbound
Deterministic quantum search on all Laplacian integral graphs Ambainis, J
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8d59330b-69b0-49e8-9f63-8fa6d03b2b3b · outbound
Deterministic quantum search on all Laplacian integral graphs Unresolved cited work
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9f6236e2-9278-4860-a611-37ab0ab5708e · outbound
Deterministic quantum search on all Laplacian integral graphs Ambainis, A
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2daba4f3-ccd2-432d-81cc-d0d288cc654d · outbound
Deterministic quantum search on all Laplacian integral graphs Apers, S
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 23c56107-9969-480d-bfb3-5206c6953269 · outbound
Deterministic quantum search on all Laplacian integral graphs Apers, A
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fd420ff6-ec64-446a-93a8-38619def7ffb · outbound
Deterministic quantum search on all Laplacian integral graphs Unresolved cited work
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1958664e-515c-46d4-80a0-51fbe563b1b8 · outbound
Deterministic quantum search on all Laplacian integral graphs Unresolved cited work
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d84721ed-21b5-4f5f-a571-78943bb87c41 · outbound
Deterministic quantum search on all Laplacian integral graphs Ambainis, Quantum walk algorithm for element dis- tinctness, in 45th Annual IEEE Symposium on Founda- tions of Computer Science(2004) pp
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5ca7fbc3-e5b8-4f13-b906-61bed13a323e · outbound
Deterministic quantum search on all Laplacian integral graphs Buhrman and R
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 70329ec3-066f-4f7f-a008-e8fe2739145d · outbound
Deterministic quantum search on all Laplacian integral graphs Magniez, M
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5ba3731d-67f6-4ede-8732-79e11170664e · outbound
Deterministic quantum search on all Laplacian integral graphs Magniez and A
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7e247944-0e21-465d-af5f-63ee52236dbc · outbound
Deterministic quantum search on all Laplacian integral graphs Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 73c69fa4-3b85-4793-8e70-79f3420172a4 · outbound
Deterministic quantum search on all Laplacian integral graphs Unresolved cited work
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 12f23446-0524-42b4-a984-9e0a4f0bdd99 · outbound
Deterministic quantum search on all Laplacian integral graphs Ambainis, E
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ad0d4a9b-94ac-4747-8332-bb3affdcc307 · outbound
Deterministic quantum search on all Laplacian integral graphs Aharonov, A
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 90ece9ef-a7b8-47ae-ac6a-a831498b0e0a · outbound
Deterministic quantum search on all Laplacian integral graphs Szegedy, Quantum speed-up of markov chain based algorithms, in 45th Annual IEEE Symposium on Foun- dations of Computer Science(2004) pp
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation faf1040c-d371-44ba-9dbe-49ddc79fcbbc · outbound
Deterministic quantum search on all Laplacian integral graphs Magniez, A
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0a50c876-8ebe-479d-8f80-6119071b1909 · outbound
Deterministic quantum search on all Laplacian integral graphs Quantum Walks and Electric Networks
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ba2a69fb-a6c6-4d86-bcdf-d6504946c048 · outbound
Deterministic quantum search on all Laplacian integral graphs Krovi, F
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 28d5dfd0-f8b2-4036-9dd7-f225d69c6fc0 · outbound
Deterministic quantum search on all Laplacian integral graphs Hein and G
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7a71e738-5933-4c60-a462-b611cb413876 · outbound
Deterministic quantum search on all Laplacian integral graphs Janmark, D
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 26fc10aa-03f2-43e1-a5eb-4df66aa24e22 · outbound
Deterministic quantum search on all Laplacian integral graphs Unresolved cited work
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f3190689-bade-4569-a210-cc472767fd0d · outbound
Deterministic quantum search on all Laplacian integral graphs Philipp, L
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b386ad44-1894-4902-b9a7-0ceaa5e2302f · outbound
Deterministic quantum search on all Laplacian integral graphs Tanaka, M
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3adeb0e3-b386-437b-b643-6df9212b2902 · outbound
Deterministic quantum search on all Laplacian integral graphs Tanaka, M
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0b12470e-d33a-4670-8b81-f224828fa898 · outbound
Deterministic quantum search on all Laplacian integral graphs Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e2803951-8c3a-4731-b8a1-ceeee6dfadff · outbound
Deterministic quantum search on all Laplacian integral graphs Chakraborty, L
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2c0e7aa2-4841-477d-9293-3f1b99f2c508 · outbound
Deterministic quantum search on all Laplacian integral graphs Deterministic Search on Complete Bipartite Graphs by Continuous Time Quantum Walk
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 996a83b7-1cb8-4dfc-871d-acb4b13186c3 · outbound
Deterministic quantum search on all Laplacian integral graphs Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b9f2e6f6-444b-4856-9295-06d304141d7c · outbound
Deterministic quantum search on all Laplacian integral graphs Marsh and J
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c304fb8e-f207-4bfe-84a0-7833f7390881 · outbound
Deterministic quantum search on all Laplacian integral graphs Unresolved cited work
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f0051d63-852d-41b7-9b21-f63845b700be · outbound
Deterministic quantum search on all Laplacian integral graphs Marsh and J
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation eb304eba-74f5-4f5e-a2e4-e8d5edcf869e · outbound
Deterministic quantum search on all Laplacian integral graphs Brassard, P
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 511cb7ff-c9f0-4215-9298-dc92e453ea8a · outbound
Deterministic quantum search on all Laplacian integral graphs Hoyer, On arbitrary phases in quantum amplitude am- plification, Physical Review A 62 (2000)
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 59f676ff-7deb-422d-9fc1-13c84144e4dd · outbound
Deterministic quantum search on all Laplacian integral graphs Unresolved cited work
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9eff9d1b-8e9c-4975-b5c3-24d0bb56ee58 · outbound
Deterministic quantum search on all Laplacian integral graphs Li and L
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4b265cac-b3d2-466e-afe5-b2b1e9accf13 · outbound
Deterministic quantum search on all Laplacian integral graphs Brassard and P
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 10ef78c0-fd5e-4f85-99b6-46cef2eb3ca1 · outbound
Deterministic quantum search on all Laplacian integral graphs Unresolved cited work
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ce9a6e02-2961-4511-b57f-9cac3582991a · outbound
Deterministic quantum search on all Laplacian integral graphs Li and L
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b792e60f-bfcd-457b-a215-139319fe5dfe · outbound
Deterministic quantum search on all Laplacian integral graphs Li and L
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 03f95791-6c7b-4850-8262-de5725f1f06b · outbound
Deterministic quantum search on all Laplacian integral graphs Unresolved cited work
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 54b884d4-917f-4840-92f5-2780850308cb · outbound
Deterministic quantum search on all Laplacian integral graphs Quantum phase discrimination with applications to quantum search on graphs
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 49f2a40d-4cca-4b13-8285-f79ed1a80ced · outbound
Deterministic quantum search on all Laplacian integral graphs Ali, A survey of antiregular graphs, Contrib
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3b78f395-a2d2-4394-ae7f-27afa32e14c1 · outbound
Deterministic quantum search on all Laplacian integral graphs Unresolved cited work
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation db88194a-40d1-4c38-b91f-da922c023269 · outbound
Deterministic quantum search on all Laplacian integral graphs Grone, R
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 91a1821e-7ef4-49e7-9613-d002afd7f695 · outbound
Deterministic quantum search on all Laplacian integral graphs Quantum measurements and the Abelian Stabilizer Problem
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 54105e2d-c92c-40da-965d-2ea186ae2abb · outbound
Deterministic quantum search on all Laplacian integral graphs Unresolved cited work
Reference 63
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bada7607-0690-46c0-8da9-b5d69ec414c7 · outbound
Deterministic quantum search on all Laplacian integral graphs Loke and J
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 89209e29-2c84-4275-9bad-e1024136bf24 · outbound
Deterministic quantum search on all Laplacian integral graphs Xu, Exact analytical results for quantum walks on star graphs, Journal of Physics A: Mathematical and Theoretical 42, 115205 (2009)
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e5300a99-a786-497d-ab4b-7ca15aa304b0 · outbound
Deterministic quantum search on all Laplacian integral graphs Unresolved cited work
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a95d1c69-ce73-4354-9b8a-11460ff3a4ac · outbound
Deterministic quantum search on all Laplacian integral graphs Qiang, T
Reference 67
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f8e19af9-7632-48b8-867d-559ce4df3b45 · outbound
Deterministic quantum search on all Laplacian integral graphs Unresolved cited work
Reference 68
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1082dc82-5942-4e96-8b99-35e56ebecfe5 · outbound
Deterministic quantum search on all Laplacian integral graphs Merris, Degree maximal graphs are laplacian integral, Linear Algebra and its Applications 199, 381 (1994), spe- cial Issue Honoring Ingram Olkin
Reference 69
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 22d7df9c-5410-4110-acfa-04113cb4e465 · outbound
Deterministic quantum search on all Laplacian integral graphs Bali´ nska, D
Reference 70
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ffb2bdee-98d4-446d-85fa-a4d2ba8bd1d7 · outbound
Deterministic quantum search on all Laplacian integral graphs Unresolved cited work
Reference 71
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 634bdb76-f9fa-472e-982c-05a7655e55a8 · outbound
Deterministic quantum search on all Laplacian integral graphs Grone and R
Reference 72
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 83778c6a-17e8-43fc-896d-7df9503adf1b · outbound
Deterministic quantum search on all Laplacian integral graphs Unresolved cited work
Reference 73
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9c3722fd-04d0-4a80-b593-a367b2cbad7e · outbound
Deterministic quantum search on all Laplacian integral graphs Unresolved cited work
Reference 74
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3f78b9bf-0cab-41f9-8f27-08a5ee5cf701 · outbound
Deterministic quantum search on all Laplacian integral graphs Unresolved cited work
Reference 75
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f21b00f7-ab64-448f-b800-e9ca7d556dfb · outbound
Deterministic quantum search on all Laplacian integral graphs Lloyd, Universal quantum simulators, Science 273, 1073 (1996)
Reference 76
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3f23ff48-fd57-4376-a12c-437b53451b0b · outbound
Deterministic quantum search on all Laplacian integral graphs Unresolved cited work
Reference 77
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.