Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:59:43.449356Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:1908.04124.
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 2026-08-14T13:59:43.449356Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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
56 of 56 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 702f0d2e-7000-4088-8a3e-0ddef2c171ed · outbound
Lazy Open Quantum Walks (22) We further assume that the steady state ρ∞ is unique
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 699a9ac4-15cc-40e5-8d43-501a09cd0507 · outbound
Lazy Open Quantum Walks To end up with OQW on 2 D one needs to assumes an environment assisted transport between every connected node of the walk
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 32b232dc-ff98-4c4e-8b25-4d3b462ff713 · outbound
Lazy Open Quantum Walks In both examples, the transition oper- ators will follow from the outlined microscopic model for lazy OQWs in 2 D
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ae73f58a-991a-49da-8a56-6d37dd600475 · outbound
Lazy Open Quantum Walks Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 00906892-5597-4997-a1b5-e0a70a78ae88 · outbound
Lazy Open Quantum Walks From the microscopic point of view, this means that the only difference to the previous example would be in the form of the interaction Hamiltonian
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d461b8d5-5e4c-4fa3-b59e-e7b5c10d73d1 · outbound
Lazy Open Quantum Walks Unresolved cited work
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ec98dbc8-5723-4d52-a5e3-ecca5ab85f69 · outbound
Lazy Open Quantum Walks (82) In (81),r =γx +γy
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1f416152-76c0-4617-a353-bd358a989e54 · outbound
Lazy Open Quantum Walks Barber, N
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 807839d5-21a2-4925-8fc7-bc679c339bf0 · outbound
Lazy Open Quantum Walks Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 31ee7921-7410-4126-b828-11c50c21dced · outbound
Lazy Open Quantum Walks Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ea559403-f783-434a-9f8b-4f4173d9db0e · outbound
Lazy Open Quantum Walks Konno, Journal of the Mathematical Society of Japan 57, 1179 (2005)
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7b4cb4b6-9520-4fc3-9d7e-bb34ada7db0b · outbound
Lazy Open Quantum Walks Cootner, The random character of stock market prices (M.I.T
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 17d7ec09-0f5d-4063-9c08-8b96b140a9f8 · outbound
Lazy Open Quantum Walks Berg, Random Walks in Biology , Princeton paper- backs (Princeton University Press, 1993)
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 40e5e5f6-b7b3-4299-a12a-91616d5831ea · outbound
Lazy Open Quantum Walks Aharonov, L
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e0737832-d67c-48f2-921b-e13459224498 · outbound
Lazy Open Quantum Walks Farhi and S
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f603e99d-a56f-48f3-967d-0c5df975fe9d · outbound
Lazy Open Quantum Walks Kempe, Contemporary Physics 44, 307 (2003)
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 42e0907a-3a03-4ff6-86ee-c2cf5e17f957 · outbound
Lazy Open Quantum Walks Quantum walks: a comprehensive review
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8c861e7b-b98a-428d-be47-b524a1cc5b20 · outbound
Lazy Open Quantum Walks Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation aa6ed3a7-6739-498a-a63f-d66f671035fe · outbound
Lazy Open Quantum Walks Reitzner, D
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1a0b5ef8-dbc6-4613-b7af-7fae34e75e86 · outbound
Lazy Open Quantum Walks Unresolved cited work
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ff3c4cc4-bc5d-4c1f-889a-5d319167c70d · outbound
Lazy Open Quantum Walks Unresolved cited work
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c0890fcc-1c91-4b72-ad94-5910f191d4cd · outbound
Lazy Open Quantum Walks Grover Search with Lackadaisical Quantum Walks
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 13ba30c1-4de9-4e6d-b766-b0a4c150359f · outbound
Lazy Open Quantum Walks Unresolved cited work
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 05d75728-6174-400d-bf88-8da91ae3c542 · outbound
Lazy Open Quantum Walks ˇStefaˇ n´ ak, I
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f0b3b61c-c089-4306-b696-0bad37cbebef · outbound
Lazy Open Quantum Walks Petruccione and I
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b48e67d5-0d62-43a0-a9c6-c9a0af844679 · outbound
Lazy Open Quantum Walks Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 69ddee03-4dad-4a18-a708-cc8f6a292541 · outbound
Lazy Open Quantum Walks Unresolved cited work
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3027b9d8-d1c5-4226-abc3-b997bc6aac1b · outbound
Lazy Open Quantum Walks Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c88d84da-0e84-455b-a2e1-06d5b2144a71 · outbound
Lazy Open Quantum Walks Experimental demonstration of quantum walks with initial superposition states
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5cd2b909-da7e-4463-9c81-19582225ba89 · outbound
Lazy Open Quantum Walks Attal, F
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7376d3e1-c0d0-49a8-97cf-cbfc405a5641 · outbound
Lazy Open Quantum Walks Attal, F
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d030d33b-5dcf-4698-915f-0f737e4ede1d · outbound
Lazy Open Quantum Walks Sadowski and L
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 615adc82-29a9-413f-bda5-3e13ae84af03 · outbound
Lazy Open Quantum Walks Sinayskiy and F
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4f29b082-ea15-49a0-9f90-4a10ef91539a · outbound
Lazy Open Quantum Walks Kummerer and H
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 00c0eb1c-edb0-4e57-bcdc-1e8ebc373222 · outbound
Lazy Open Quantum Walks Attal, N
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c0cdde45-cbf6-4eaf-a176-593edb3a83e7 · outbound
Lazy Open Quantum Walks Limit theorems for open quantum random walks
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 236324e0-a5f6-4c7c-9079-42e80bdce1c4 · outbound
Lazy Open Quantum Walks Pellegrini, Journal of Statistical Physics 154, 838 (2014)
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation da9f0a31-d397-454d-9cd1-3e192bb1f967 · outbound
Lazy Open Quantum Walks Bringuier, Annales Henri Poincar´ e18, 3167 (2017)
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fb5d517b-cf38-4eaf-8424-4bda02795a11 · outbound
Lazy Open Quantum Walks Sinayskiy and F
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation addcf8e6-565b-4e84-ae5e-d0050140a2b1 · outbound
Lazy Open Quantum Walks Sinayskiy and F
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 60aafd71-e796-4b44-a2cf-68528265a98e · outbound
Lazy Open Quantum Walks Carbone and Y
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ebc2214a-5e17-42f3-9416-76d5d33d8014 · outbound
Lazy Open Quantum Walks Carbone and Y
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 641fc7f6-cb3a-40e5-a7f1-3ca6e2ca088d · outbound
Lazy Open Quantum Walks Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 61014fbe-ef80-45fe-9eef-51466cacbe7f · outbound
Lazy Open Quantum Walks Bauer, D
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7ffcfdaf-75a7-4826-949b-98c577b3efe6 · outbound
Lazy Open Quantum Walks Bauer, D
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b7aaa967-9f68-4de7-b351-e1ddc912c115 · outbound
Lazy Open Quantum Walks The Hamiltonian for the total system may be written as the sum of the system, bath and system-bath interactions Hamiltonians, H =HS +HB +HSB
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 08a1e150-6203-4af1-8dd8-aafb0c0edb97 · outbound
Lazy Open Quantum Walks Sinayskiy and F
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation be35a265-c22f-4b3c-ae46-3a85332822b5 · outbound
Lazy Open Quantum Walks Kraus, A
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 794758b2-635a-42ad-aaf6-bd6660037bed · outbound
Lazy Open Quantum Walks Doob, Stochastic Processes , Wiley Publications in Statistics (John Wiley & Sons, 1953), ISBN 9780471218135
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 462da88c-8315-43e8-ba41-2f3429cf31f9 · outbound
Lazy Open Quantum Walks Hall and C
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 443803e0-ac04-44f1-ae27-10dc6790afed · outbound
Lazy Open Quantum Walks Williams, Probability with Martingales , Cambridge mathematical textbooks (Cambridge University Press, 1991)
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 57d2159e-199d-4888-900e-b6392a469493 · outbound
Lazy Open Quantum Walks Unresolved cited work
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 80645885-1089-47f3-976f-4e793d57e319 · outbound
Lazy Open Quantum Walks Sinayskiy and F
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 55a9c69b-941d-4508-9ee6-196e423458a9 · outbound
Lazy Open Quantum Walks Breuer and F
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e9445d7f-d807-4c6b-ae08-e2deaaa70d80 · outbound
Lazy Open Quantum Walks Gorini, A
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 97d20968-b15d-4c71-b3c1-fef92717f769 · outbound
Lazy Open Quantum Walks Lindblad, Communications in Mathematical Physics 48, 119 (1976)
Reference 56
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.