Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T21:03:50.173518Z
Paper Citation Record · LEDGER
As of 14 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2501.06765.
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 2026-08-10T21:03:50.173518Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-02T01:25:40.012201Z
A source-named dated measurement, never combined with another source.
Source: cited_works
24 of 24 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 58553248-9c9c-4baf-87ba-9c09d299a83d · outbound
Comfortability of quantum walks on embedded graphs on surfaces and Watrous, J., One-dimensional quantum walks, Proc
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 30a1fe6f-09a9-4128-b308-106c46855330 · outbound
Comfortability of quantum walks on embedded graphs on surfaces and Sarlette, A., Quantum fast-forwarding; Markov chains and graph property testing, Quantum Information and Computation 19 (2019) 181–213
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ea6fe20e-c0fe-4430-bc27-d4889be17c14 · outbound
Comfortability of quantum walks on embedded graphs on surfaces and Kokainis, M., Quadratic speedup for finding marked vertices by quantum walks, Proceedings of the 52nd Annual ACM SIGACT Symposium on Theory of Computing 19 (2020) 412–424
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation cd850c2a-5498-4888-8e8f-22561536dd13 · outbound
Comfortability of quantum walks on embedded graphs on surfaces Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e3d75d1d-a2fb-4435-a1e7-f648bb46aace · outbound
Comfortability of quantum walks on embedded graphs on surfaces Unresolved cited work
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 4ae428d6-511f-4d18-846f-20f91665fdd8 · outbound
Comfortability of quantum walks on embedded graphs on surfaces Unresolved cited work
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8873b3b4-1bf3-4c69-baea-ff02dfa1300f · outbound
Comfortability of quantum walks on embedded graphs on surfaces Unresolved cited work
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 71627f4d-415c-45cb-a05e-1e392235a3e1 · outbound
Comfortability of quantum walks on embedded graphs on surfaces Unresolved cited work
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f4f8f626-65aa-4f96-b927-f9bd9c1596ac · outbound
Comfortability of quantum walks on embedded graphs on surfaces Higuchi, N
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 4ddf30c1-5860-445e-b690-c3e668bfef8e · outbound
Comfortability of quantum walks on embedded graphs on surfaces and Segawa, E., Dynamical system induced by quantum walks, Journal of Physics A: Mathematical and Theoretical 52 (2019) 39520
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 67699c04-66bd-4886-a0ff-477ab373a0f7 · outbound
Comfortability of quantum walks on embedded graphs on surfaces and Segawa, E., Circuit equation of Grover walk, Annales Henri Poincar´ e25 (2024) 3739–3777
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7f7e5525-2dfe-4201-a389-a57415260b5a · outbound
Comfortability of quantum walks on embedded graphs on surfaces Quantum walks on graphs embedded in orientable surfaces
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f9904cb4-bc7e-41d2-88c2-ece351724b12 · outbound
Comfortability of quantum walks on embedded graphs on surfaces and Shirai, T., Weak Bloch property for discrete magnetic Schr¨ odinger operators, Nagoya Mathematical Journal 161 (2001) 127–154
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a5f01169-2710-4bd4-9256-839143b6753e · outbound
Comfortability of quantum walks on embedded graphs on surfaces Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f7c85ed2-25ba-4297-bc4b-8b2e6bf52504 · outbound
Comfortability of quantum walks on embedded graphs on surfaces and Segawa, E., Partition-based discrete-time quantum walks, Quantum Information Processing 17 (2018) 1–35
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f3c8c55f-a42d-4240-adc3-69c680c7ebc7 · outbound
Comfortability of quantum walks on embedded graphs on surfaces and Brun, T
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ae8923cd-47ae-4dfa-95c2-b263f1473b29 · outbound
Comfortability of quantum walks on embedded graphs on surfaces and Segawa E., Implementation of a discrete-time quantum walk with a circulant matrix on a graph by optical polarizing elements, Physical Review A 106 (2022) 022402
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 9fe0ca77-0958-4a8c-89f2-0633ce026b4b · outbound
Comfortability of quantum walks on embedded graphs on surfaces and Thomassen, C., Graphs on Surfaces, Johns Hopkins University Press (2001)
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 4b7522a1-8e5b-42ca-a871-a032d400568d · outbound
Comfortability of quantum walks on embedded graphs on surfaces Kyokumenjou no Gurahu Riron
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 463de00b-1906-40b4-b174-eccece2c7445 · outbound
Comfortability of quantum walks on embedded graphs on surfaces Unresolved cited work
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c546120b-c961-41fb-a378-904188b7a898 · outbound
Comfortability of quantum walks on embedded graphs on surfaces Unresolved cited work
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 90ac1679-df46-4f29-ac7c-a1a61487daaa · outbound
Comfortability of quantum walks on embedded graphs on surfaces and Youngs, J
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 46e56186-dea0-4305-94f3-04cbfd7afe95 · outbound
Comfortability of quantum walks on embedded graphs on surfaces Tanner, From quantum graphs to quantum random walks, Non-Linear Dynamics and Fundamental Interactions NATO Science Series II: Mathematics, Physics and Chemistry, 213 (2006) 69-87
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation df16ab28-805d-4adc-abec-a91917145af6 · outbound
Comfortability of quantum walks on embedded graphs on surfaces Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b9c4aae5-6c3e-45c6-a48b-41ed36381391 · inbound
Robustness of periodicity in Grover walks under a magnetic vector potential Comfortability of quantum walks on embedded graphs on surfaces
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.