Paper Citation Record · LEDGER

Perfect state transfer in Grover walks on normal Cayley graphs

As of 7 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2607.19309.

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pith.paper-citation-record.v1
2607.19309 v1

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measured 32 of 32 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T13:01:29.101437Z

measured 32 of 32 standing notices

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

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32 of 32 outbound references displayed

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Outbound references

Observation cc6a8ab5-6d4e-4351-a5bd-5155d913ddd3 · outbound

This paper cites Non-uniform mixing of quantum walks on the symmetric group.Linear Algebra Appl., 742:37–65, 2026.

Perfect state transfer in Grover walks on normal Cayley graphs Non-uniform mixing of quantum walks on the symmetric group.Linear Algebra Appl., 742:37–65, 2026

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T13:01:26.670911Z

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Observation 81b8ed9d-2886-41f6-937c-49227ae0692d · outbound

This paper cites Periodicity and perfect state transfer in quantum walks on variants of cycles.Quantum Inf.

Perfect state transfer in Grover walks on normal Cayley graphs Periodicity and perfect state transfer in quantum walks on variants of cycles.Quantum Inf

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T13:01:26.721970Z

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Observation 424e56b4-ea53-4741-9881-43f150c8d7b4 · outbound

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

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

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T13:01:26.810042Z

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Observation 050da6bd-6765-402c-a29f-06133ba3ffa1 · 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 normal Cayley graphs Periodicity and perfect state transfer of Grover walks on quadratic unitary Cayley graphs.Quantum Inf

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T13:01:26.868183Z

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

This paper cites Perfect state transfer in Grover walks on dihedral Cayley graphs.

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

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Observation e86a61a3-1b7f-4fc0-b059-e9f448eba2f8 · outbound

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

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

Reference 6

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Observation 5d603319-6607-4565-a9f2-40f5fa7fb5ee · outbound

This paper cites Pretty good state transfer in discrete-time quantum walks.J.

Perfect state transfer in Grover walks on normal Cayley graphs Pretty good state transfer in discrete-time quantum walks.J

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T13:01:27.042780Z

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Observation 4bb2e131-af68-4089-868a-ca54c788075c · outbound

This paper cites Hamiltonians of bipartite walks.

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

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T13:01:27.097471Z

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Observation d67aa6bd-38ea-4f45-bec1-f31b7121ff8e · outbound

This paper cites an unresolved cited work.

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

Reference 9

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Observation 2b88200b-8aab-4ea5-8bff-db1e8a3b8858 · outbound

This paper cites Perfect state transfer on distance-regular graphs and association schemes.Linear Algebra Appl., 478:108–130, 2015.

Perfect state transfer in Grover walks on normal Cayley graphs Perfect state transfer on distance-regular graphs and association schemes.Linear Algebra Appl., 478:108–130, 2015

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T13:01:27.237907Z

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Observation f65f6ea8-b9d2-4af5-bdc3-8a7862964c46 · outbound

This paper cites Periodic graphs.Electron.

Perfect state transfer in Grover walks on normal Cayley graphs Periodic graphs.Electron

Reference 11

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Observation f0c57612-a1e0-48c1-a9a7-c3ae6e2158f8 · outbound

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

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

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T13:01:27.365543Z

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Observation 84bd5c01-2c2b-40b7-abcf-836a2ae6128b · outbound

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

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

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T13:01:27.439709Z

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Observation 2c92afa8-c304-414d-8da4-537310f584e4 · outbound

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

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

Reference 14

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Observation cafb2055-c39c-4d70-ba8f-742a7e2bc517 · outbound

This paper cites A convergence time of Grover walk on regular graph to stationary state with constant inflow to every vertex.Linear Multilinear Algebra, 72(15):2427– 2438, 2024.

Perfect state transfer in Grover walks on normal Cayley graphs A convergence time of Grover walk on regular graph to stationary state with constant inflow to every vertex.Linear Multilinear Algebra, 72(15):2427– 2438, 2024

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T13:01:27.577096Z

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Observation 9c288c75-e5c7-440f-8049-7be646fa2c85 · outbound

This paper cites Periodicity of Grover walks on complete graphs with self-loops.Linear Algebra Appl., 599:121–132, 2020.

Perfect state transfer in Grover walks on normal Cayley graphs Periodicity of Grover walks on complete graphs with self-loops.Linear Algebra Appl., 599:121–132, 2020

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T13:01:27.677514Z

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Observation 5c7197fa-ebab-4653-a958-a325e48113af · outbound

This paper cites Cambridge university press, 2001.

Perfect state transfer in Grover walks on normal Cayley graphs Cambridge university press, 2001

Reference 17

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Observation 4b5f59cc-86b0-4fa0-be02-39de8d9075a7 · outbound

This paper cites Perfect state transfer in quantum walks on graphs.J.

Perfect state transfer in Grover walks on normal Cayley graphs Perfect state transfer in quantum walks on graphs.J

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T13:01:27.795199Z

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Observation f3ae9449-24dd-4bbc-a373-3eca5e00ba5f · outbound

This paper cites A generalization of quantum pair state transfer.Quantum Inf.

Perfect state transfer in Grover walks on normal Cayley graphs A generalization of quantum pair state transfer.Quantum Inf

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T13:01:27.867367Z

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Observation f3faf8e5-0d73-40b7-aa72-963be81d0da4 · outbound

This paper cites Some properties of unitary Cayley graphs.Electron.

Perfect state transfer in Grover walks on normal Cayley graphs Some properties of unitary Cayley graphs.Electron

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T13:01:27.998006Z

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Observation d953bcf4-b438-4a78-8d60-c02050418064 · outbound

This paper cites Perfect state transfer in Grover walks between states associated to vertices of a graph.Linear Algebra Appl., 646:238–251, 2022.

Perfect state transfer in Grover walks on normal Cayley graphs Perfect state transfer in Grover walks between states associated to vertices of a graph.Linear Algebra Appl., 646:238–251, 2022

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T13:01:28.131442Z

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Observation 17783fa6-15e0-4627-8c4c-f2a243202726 · outbound

This paper cites Periodicity of quantum walks defined by mixed paths and mixed cycles.Linear Algebra Appl., 630:15–38, 2021.

Perfect state transfer in Grover walks on normal Cayley graphs Periodicity of quantum walks defined by mixed paths and mixed cycles.Linear Algebra Appl., 630:15–38, 2021

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T13:01:28.237081Z

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Observation 8272b242-fe19-4118-bda2-4b1a78feae90 · 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 normal Cayley graphs Circulant graphs with valency up to 4 that admit perfect state transfer in Grover walks.J

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T13:01:28.317295Z

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Observation 22a0395f-7958-4418-96e3-05c11f21d2da · outbound

This paper cites A characterization of state transfer on double subdivided stars.Linear Multilinear Algebra, 73(12):2713–2729, 2025.

Perfect state transfer in Grover walks on normal Cayley graphs A characterization of state transfer on double subdivided stars.Linear Multilinear Algebra, 73(12):2713–2729, 2025

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T13:01:28.402630Z

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Observation 149556b9-7b22-4737-a93f-cc03809d3257 · outbound

This paper cites On certain trigonometrical sums and their applications in the theory of numbers.Trans.

Perfect state transfer in Grover walks on normal Cayley graphs On certain trigonometrical sums and their applications in the theory of numbers.Trans

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T13:01:28.554094Z

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Observation 16fd918b-b4b6-4dec-9dcf-1960dd653a3f · outbound

This paper cites Periodicity of lively quantum walks on cycles with generalized Grover coin.Linear Algebra Appl., 604:399–424, 2020.

Perfect state transfer in Grover walks on normal Cayley graphs Periodicity of lively quantum walks on cycles with generalized Grover coin.Linear Algebra Appl., 604:399–424, 2020

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T13:01:28.621358Z

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Observation 75f4a760-de39-4de6-bb82-056e94486fa6 · outbound

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

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

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T13:01:28.685630Z

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Observation 2e52d812-d534-4e9c-b96d-799cb9112b35 · outbound

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

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

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T13:01:28.780127Z

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Observation 0dd8d7f1-609d-4368-808a-a8bd512d2ca4 · outbound

This paper cites Universi- text.

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

Reference 29

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Observation ddaec5b6-0122-41bf-bdd7-c1429f2087be · 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 normal Cayley graphs An infinite family of circulant graphs with perfect state transfer in discrete quantum walks.Quantum Inf

Reference 30

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Observation 96d4c471-204a-4edd-a343-271e98a6e5a0 · outbound

This paper cites Quantum walks on embeddings.J.

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

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T13:01:29.028303Z

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Observation 04048d5b-31f8-4ab3-8d5b-533112451d06 · outbound

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

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

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T13:01:29.101437Z

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