Paper Citation Record · LEDGER

Perfect state transfer in Grover walks on dihedral Cayley graphs

As of 7 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 1 inbound Pith citation observation for arXiv:2605.02254.

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

pith.paper-citation-record.v1
2605.02254 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-08T18:45:46.102636Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T13:01:26.934247Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

33 of 33 outbound references displayed

verified exact3
verified fuzzy28
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8bde1e0e-457e-40cf-a9dd-1b6d79f1f6c1 · outbound

This paper cites Discrete quantum walks on the symmetric group.Quantum Stud.: Math.

Perfect state transfer in Grover walks on dihedral Cayley graphs Discrete quantum walks on the symmetric group.Quantum Stud.: Math

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.444131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0471df21-69f1-403b-9faf-e9b61eab1f78 · outbound

This paper cites Non-uniform mixing of quantum walks on the symmetric group.Linear Algebra Appl., 742:37–65.

Perfect state transfer in Grover walks on dihedral Cayley graphs Non-uniform mixing of quantum walks on the symmetric group.Linear Algebra Appl., 742:37–65

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.420691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 42e902ef-0898-44a8-b34a-906df1631675 · outbound

This paper cites Grover walks on unitary Cayley graphs and integral regular graphs.

Perfect state transfer in Grover walks on dihedral Cayley graphs Grover walks on unitary Cayley graphs and integral regular graphs

Reference 3

Resolution: metadata mismatch; arxiv_id, observed 2026-05-09T06:15:37.275509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 63ac80a9-eb7a-40ab-aace-10e94f2ccfdd · outbound

This paper cites Perfect state transfer in Grover walks on association schemes and distance-regular graphs.

Perfect state transfer in Grover walks on dihedral Cayley graphs Perfect state transfer in Grover walks on association schemes and distance-regular graphs

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-05-09T06:15:37.296754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d499a977-81c5-4b8b-8d99-fd74f80dda9b · outbound

This paper cites Periodicity and perfect state transfer of Grover walks on quadratic unitary Cayley graphs.Quantum Inf.

Perfect state transfer in Grover walks on dihedral Cayley graphs Periodicity and perfect state transfer of Grover walks on quadratic unitary Cayley graphs.Quantum Inf

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.424433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 469fcfcc-ddfe-4845-a10e-b5178c6758a6 · outbound

This paper cites Pretty good state transfer in Grover walks on abelian Cayley graphs.

Perfect state transfer in Grover walks on dihedral Cayley graphs Pretty good state transfer in Grover walks on abelian Cayley graphs

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-05-09T06:15:37.290770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5471fdfb-25d2-44f5-96f5-6972480e6d77 · outbound

This paper cites State transfer in Grover walks on unitary and quadratic unitary Cayley graphs over finite commutative rings.Discrete Math., 349(8):115151.

Perfect state transfer in Grover walks on dihedral Cayley graphs State transfer in Grover walks on unitary and quadratic unitary Cayley graphs over finite commutative rings.Discrete Math., 349(8):115151

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.498026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 524ca831-1af1-4d7a-aeaf-1d12636c02c7 · outbound

This paper cites Quantum communication through an unmodulated spin chain.Phys.

Perfect state transfer in Grover walks on dihedral Cayley graphs Quantum communication through an unmodulated spin chain.Phys

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.459214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7c875438-9e7c-4b3d-98a0-3eaefd0f76b8 · outbound

This paper cites Cambridge Studies in Advanced Mathematics.

Perfect state transfer in Grover walks on dihedral Cayley graphs Cambridge Studies in Advanced Mathematics

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.431063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d817fd37-ee7e-4750-8698-4ad2f79ff0c0 · outbound

This paper cites Hamiltonians of bipartite walks.

Perfect state transfer in Grover walks on dihedral Cayley graphs Hamiltonians of bipartite walks

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.511209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f5215ec6-c6ed-4dbe-ba5e-98a9b43a3d15 · outbound

This paper cites an unresolved cited work.

Perfect state transfer in Grover walks on dihedral Cayley graphs Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-05-26T04:07:19.466912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 221e3a9d-fd77-4e56-be73-5a400c602182 · outbound

This paper cites State transfer on graphs.Discrete Math., 312(1):129–147.

Perfect state transfer in Grover walks on dihedral Cayley graphs State transfer on graphs.Discrete Math., 312(1):129–147

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.448498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2c561a3f-2506-4dca-a33c-ca4ad09384e5 · outbound

This paper cites Discrete-time quantum walks and graph structures.J.

Perfect state transfer in Grover walks on dihedral Cayley graphs Discrete-time quantum walks and graph structures.J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.432487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0c994566-c6d9-4261-a251-37361fc67e9e · outbound

This paper cites State transfer in discrete-time quantum walks via projected transition matrices.

Perfect state transfer in Grover walks on dihedral Cayley graphs State transfer in discrete-time quantum walks via projected transition matrices

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-05-09T06:15:37.285544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ccc07b57-1bcb-474f-8d1d-01348d5b9499 · outbound

This paper cites Spectral and asymptotic properties of Grover walks on crystal lattices.J.

Perfect state transfer in Grover walks on dihedral Cayley graphs Spectral and asymptotic properties of Grover walks on crystal lattices.J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.452135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2a68549c-7818-4866-87d1-3da962b5b683 · outbound

This paper cites Quantum walks induced by Dirichlet random walks on infinite trees.J.

Perfect state transfer in Grover walks on dihedral Cayley graphs Quantum walks induced by Dirichlet random walks on infinite trees.J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.506931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c47613ec-6aa2-4c99-8488-812bd5681363 · outbound

This paper cites A random walk approach to quantum algorithms.Philos.

Perfect state transfer in Grover walks on dihedral Cayley graphs A random walk approach to quantum algorithms.Philos

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.509216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0fba6241-7cf1-42c4-b706-d04f590c3641 · outbound

This paper cites Perfect state transfer in Grover walks between states associated to vertices of a graph.Linear Algebra Appl., 646:238–251.

Perfect state transfer in Grover walks on dihedral Cayley graphs Perfect state transfer in Grover walks between states associated to vertices of a graph.Linear Algebra Appl., 646:238–251

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.479198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 26f31eeb-d415-4a8f-a4e7-f53b61251bfb · outbound

This paper cites Periodicity of Grover walks on generalized Bethe trees.Linear Algebra Appl., 554:371–391.

Perfect state transfer in Grover walks on dihedral Cayley graphs Periodicity of Grover walks on generalized Bethe trees.Linear Algebra Appl., 554:371–391

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.453029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8bf825ad-fabc-432d-b835-bb2aabf33fe7 · outbound

This paper cites Regular graphs to induce even periodic Grover walks.Discrete Math., 348(3):Paper No.

Perfect state transfer in Grover walks on dihedral Cayley graphs Regular graphs to induce even periodic Grover walks.Discrete Math., 348(3):Paper No

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.493678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dc936485-f3ad-414f-a02f-ece2dd4717ae · outbound

This paper cites Circulant graphs with valency up to 4 that admit perfect state transfer in Grover walks.J.

Perfect state transfer in Grover walks on dihedral Cayley graphs Circulant graphs with valency up to 4 that admit perfect state transfer in Grover walks.J

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.501528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a7e26174-fa58-4f76-a601-5350b8e004db · outbound

This paper cites Ram Murty.

Perfect state transfer in Grover walks on dihedral Cayley graphs Ram Murty

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.449408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5256bb0e-1d96-43b6-b513-7d705ec86982 · outbound

This paper cites Discrete-time quantum walks on Cayley graphs of dihedral groups using generalized Grover coins.Quantum Inf.

Perfect state transfer in Grover walks on dihedral Cayley graphs Discrete-time quantum walks on Cayley graphs of dihedral groups using generalized Grover coins.Quantum Inf

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.502377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ffbbeda7-636b-4da6-a200-5d44359cee56 · outbound

This paper cites Periodicity of lively quantum walks on cycles with generalized Grover coin.Linear Algebra Appl., 604:399–424.

Perfect state transfer in Grover walks on dihedral Cayley graphs Periodicity of lively quantum walks on cycles with generalized Grover coin.Linear Algebra Appl., 604:399–424

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.486703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8feea333-9c11-4e4c-892b-602a503d42ac · outbound

This paper cites Volume 42 of Graduate Texts in Math- ematics.

Perfect state transfer in Grover walks on dihedral Cayley graphs Volume 42 of Graduate Texts in Math- ematics

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.505378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f3f73652-e91d-42cb-8ba9-4b4507428c2b · outbound

This paper cites Perfect state transfer on hyper- cubes and its implementation using superconducting qubits.Phys.

Perfect state transfer in Grover walks on dihedral Cayley graphs Perfect state transfer on hyper- cubes and its implementation using superconducting qubits.Phys

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.438257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 928ba288-39ca-4ffc-9a7f-4bf56030243c · outbound

This paper cites Universi- text.

Perfect state transfer in Grover walks on dihedral Cayley graphs Universi- text

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.471796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d0c0580e-33a1-4bb7-b16d-a64a34dee2ab · outbound

This paper cites Rodrigues, Paulo Mateus, N.

Perfect state transfer in Grover walks on dihedral Cayley graphs Rodrigues, Paulo Mateus, N

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.483627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b189f0dc-6af8-4a76-9b62-6a5de756fa4a · outbound

This paper cites Quantum simulations of classical random walks and undirected graph connectivity.

Perfect state transfer in Grover walks on dihedral Cayley graphs Quantum simulations of classical random walks and undirected graph connectivity

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.470402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 183227cc-f803-4362-9877-7b2a2fa5b0c3 · outbound

This paper cites Periodicities of Grover walks on distance-regular graphs.Graphs Combin., 35(6):1305–1321.

Perfect state transfer in Grover walks on dihedral Cayley graphs Periodicities of Grover walks on distance-regular graphs.Graphs Combin., 35(6):1305–1321

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.475135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 419ee48e-3f2c-43df-ae1c-38db04615d0e · outbound

This paper cites An infinite family of circulant graphs with perfect state transfer in discrete quantum walks.Quantum Inf.

Perfect state transfer in Grover walks on dihedral Cayley graphs An infinite family of circulant graphs with perfect state transfer in discrete quantum walks.Quantum Inf

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.473668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0fb4716f-8bdf-4919-b0ad-2546e418556f · outbound

This paper cites Quantum walks on embeddings.J.

Perfect state transfer in Grover walks on dihedral Cayley graphs Quantum walks on embeddings.J

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.515146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 02ab4eb4-5c13-46e0-93de-30314774831a · outbound

This paper cites Algebraic Combin., 61(4):Paper No.

Perfect state transfer in Grover walks on dihedral Cayley graphs Algebraic Combin., 61(4):Paper No

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T04:07:19.455670Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation d340bcac-7f86-4f19-8062-5477d743e185 · inbound

Perfect state transfer in Grover walks on normal Cayley graphs cites this paper.

Perfect state transfer in Grover walks on normal Cayley graphs Perfect state transfer in Grover walks on dihedral Cayley graphs

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T13:01:26.934247Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.