Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T21:03:50.173518Z
Paper Citation Record · LEDGER
Comfortability of quantum walks on embedded graphs on surfaces
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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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
Reference resolution
24 of 24 outbound references displayed
- verified exact1
- verified fuzzy14
- unresolved9
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 58553248-9c9c-4baf-87ba-9c09d299a83d · outbound
This paper cites and Watrous, J., One-dimensional quantum walks, Proc.
Comfortability of quantum walks on embedded graphs on surfaces and Watrous, J., One-dimensional quantum walks, Proc
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:03:50.874270Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 30a1fe6f-09a9-4128-b308-106c46855330 · outbound
This paper cites and Sarlette, A., Quantum fast-forwarding; Markov chains and graph property testing, Quantum Information and Computation 19 (2019) 181–213.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:03:50.847686Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ea6fe20e-c0fe-4430-bc27-d4889be17c14 · outbound
This paper cites 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.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:03:50.824561Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation cd850c2a-5498-4888-8e8f-22561536dd13 · outbound
This paper cites an unresolved cited work.
Comfortability of quantum walks on embedded graphs on surfaces Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:03:50.794726Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e3d75d1d-a2fb-4435-a1e7-f648bb46aace · outbound
This paper cites an unresolved cited work.
Comfortability of quantum walks on embedded graphs on surfaces Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:03:50.767788Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4ae428d6-511f-4d18-846f-20f91665fdd8 · outbound
This paper cites an unresolved cited work.
Comfortability of quantum walks on embedded graphs on surfaces Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:03:50.750302Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8873b3b4-1bf3-4c69-baea-ff02dfa1300f · outbound
This paper cites an unresolved cited work.
Comfortability of quantum walks on embedded graphs on surfaces Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:03:50.731037Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 71627f4d-415c-45cb-a05e-1e392235a3e1 · outbound
This paper cites an unresolved cited work.
Comfortability of quantum walks on embedded graphs on surfaces Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:03:50.711689Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f4f8f626-65aa-4f96-b927-f9bd9c1596ac · outbound
This paper cites Higuchi, N.
Comfortability of quantum walks on embedded graphs on surfaces Higuchi, N
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:03:50.691163Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4ddf30c1-5860-445e-b690-c3e668bfef8e · outbound
This paper cites and Segawa, E., Dynamical system induced by quantum walks, Journal of Physics A: Mathematical and Theoretical 52 (2019) 39520.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:03:50.675853Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 67699c04-66bd-4886-a0ff-477ab373a0f7 · outbound
This paper cites and Segawa, E., Circuit equation of Grover walk, Annales Henri Poincar´ e25 (2024) 3739–3777.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:03:50.661004Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 7f7e5525-2dfe-4201-a389-a57415260b5a · outbound
This paper cites Quantum walks on graphs embedded in orientable surfaces.
Comfortability of quantum walks on embedded graphs on surfaces Quantum walks on graphs embedded in orientable surfaces
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T21:03:50.241210Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f9904cb4-bc7e-41d2-88c2-ece351724b12 · outbound
This paper cites and Shirai, T., Weak Bloch property for discrete magnetic Schr¨ odinger operators, Nagoya Mathematical Journal 161 (2001) 127–154.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:03:50.643000Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a5f01169-2710-4bd4-9256-839143b6753e · outbound
This paper cites an unresolved cited work.
Comfortability of quantum walks on embedded graphs on surfaces Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:03:50.620545Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f7c85ed2-25ba-4297-bc4b-8b2e6bf52504 · outbound
This paper cites and Segawa, E., Partition-based discrete-time quantum walks, Quantum Information Processing 17 (2018) 1–35.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:03:50.599564Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f3c8c55f-a42d-4240-adc3-69c680c7ebc7 · outbound
This paper cites and Brun, T.
Comfortability of quantum walks on embedded graphs on surfaces and Brun, T
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:03:50.574811Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ae8923cd-47ae-4dfa-95c2-b263f1473b29 · outbound
This paper cites 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.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:03:50.543228Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 9fe0ca77-0958-4a8c-89f2-0633ce026b4b · outbound
This paper cites and Thomassen, C., Graphs on Surfaces, Johns Hopkins University Press (2001).
Comfortability of quantum walks on embedded graphs on surfaces and Thomassen, C., Graphs on Surfaces, Johns Hopkins University Press (2001)
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:03:50.512414Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4b7522a1-8e5b-42ca-a871-a032d400568d · outbound
This paper cites Kyokumenjou no Gurahu Riron.
Comfortability of quantum walks on embedded graphs on surfaces Kyokumenjou no Gurahu Riron
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:03:50.478623Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 463de00b-1906-40b4-b174-eccece2c7445 · outbound
This paper cites an unresolved cited work.
Comfortability of quantum walks on embedded graphs on surfaces Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:03:50.455549Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c546120b-c961-41fb-a378-904188b7a898 · outbound
This paper cites an unresolved cited work.
Comfortability of quantum walks on embedded graphs on surfaces Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:03:50.404162Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 90ac1679-df46-4f29-ac7c-a1a61487daaa · outbound
This paper cites and Youngs, J.
Comfortability of quantum walks on embedded graphs on surfaces and Youngs, J
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:03:50.337691Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 46e56186-dea0-4305-94f3-04cbfd7afe95 · outbound
This paper cites 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.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:03:50.298575Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation df16ab28-805d-4adc-abec-a91917145af6 · outbound
This paper cites an unresolved cited work.
Comfortability of quantum walks on embedded graphs on surfaces Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:03:50.263467Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Pith citing papers
Observation b9c4aae5-6c3e-45c6-a48b-41ed36381391 · inbound
Robustness of periodicity in Grover walks under a magnetic vector potential cites this paper.
Robustness of periodicity in Grover walks under a magnetic vector potential Comfortability of quantum walks on embedded graphs on surfaces
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T01:25:40.012201Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.