Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-20T10:26:44.983334Z
Paper Citation Record · LEDGER
As of 20 August 2026, this Paper Citation Record lists 79 of 79 outbound references and 3 inbound Pith citation observations for arXiv:2605.19054.
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 2026-05-20T10:26:44.983334Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-11T04:48:39.808918Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-02T03:46:32.246248Z
79 of 79 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation a79ba94a-6a2c-4a9e-bdec-c713dd9a73ec · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 593455c3-183f-4191-9960-c0c286c2a732 · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1cfe68b6-cc6c-4ebc-ba7a-d2907af93bdd · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a187431a-b68a-4e72-b72f-f7ea80a3cd7e · outbound
Quantum Koopman Algorithms An, J.-P
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 86ff961e-993f-439e-8b70-0f728f484b14 · outbound
Quantum Koopman Algorithms Jennings, M
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2a8f5341-ef8d-4d4a-a199-b8246479f8bf · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3888aa03-10fe-4c48-9816-0e5007ef89fd · outbound
Quantum Koopman Algorithms Sign Embedding Quantum Algorithms for Matrix Equations and Matrix Functions
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 417f5f10-0940-45fe-84f2-2f617af31dd0 · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a8c11ef0-532e-41fc-91c1-a57341873ba7 · outbound
Quantum Koopman Algorithms Budiˇ si´ c, R
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 603f9986-8e43-4e3c-b0ed-52aee1228eb5 · outbound
Quantum Koopman Algorithms Mezi´ c, Annu
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a9fbba6c-2b0d-4f3a-9cec-a25fa2e81cd3 · outbound
Quantum Koopman Algorithms Susuki, I
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8c08d5cb-f48c-4c5b-a655-b346ef9bb242 · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b47cc8a4-0633-4d9e-ac6b-36d7a99bbbfa · outbound
Quantum Koopman Algorithms Liu and L
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation fad55dc4-9ce2-4585-9f09-9064b89fa122 · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a809ff8b-c806-424c-bbb3-03a7647c87d3 · outbound
Quantum Koopman Algorithms Stroeks, D
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 34fd5f58-127d-4c62-93ba-2f15abf36e0f · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1e3d1c57-aac9-4c4c-9a22-6741fa55b98a · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f15e059a-3724-4232-bc2f-44658519c905 · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 0f2082c1-b90f-4851-9894-039c9b1f48c9 · outbound
Quantum Koopman Algorithms Lloyd, Science273, 1073 (1996)
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation be3cfd80-0297-4c0d-a055-85ba404618c7 · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 643d6540-3101-4c2f-a5bc-c68ab786ba3f · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 624cdba3-731d-461f-b131-dcca6f7d2a05 · outbound
Quantum Koopman Algorithms Quantum measurements and the Abelian Stabilizer Problem
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3a585fd2-4799-4ebb-a9fa-1a1fedf693cb · outbound
Quantum Koopman Algorithms Cleve, A
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c686531b-e5ca-4768-893d-fc53a92319ff · outbound
Quantum Koopman Algorithms Gily´ en, Y
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1435b7ee-2c11-4043-8dfb-9ce7ecdeab38 · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ba7a1bb0-1d04-41ee-a4d4-a202602325f5 · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 196b3321-e8c9-42aa-b67b-f7171389d74f · outbound
Quantum Koopman Algorithms Kloss, J
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 0075e5f1-aefc-40fe-bd53-5ceae03ce20f · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation dbc03fef-7058-4fe3-9506-dc8e98648d37 · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b3132d8f-497a-4ab6-a171-c18223b43750 · outbound
Quantum Koopman Algorithms Alba and F
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 12e2e598-b6d3-45d4-a839-adc7d3c6eb24 · outbound
Quantum Koopman Algorithms van Caspel, S
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 939c3b0a-5bdd-47b6-99e0-eeb3b976e614 · outbound
Quantum Koopman Algorithms Prosen, New J
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation eda33c12-60cf-48cf-8323-6620b394ed8a · outbound
Quantum Koopman Algorithms ˇZunkoviˇ c and T
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 390123d4-f7bc-4a39-b74b-61a510039051 · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ea29dd73-58ef-4da7-93b3-6463418f83f4 · outbound
Quantum Koopman Algorithms Breuer and F
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ed2ad71e-150e-44e9-a7ce-8434bde4f65d · outbound
Quantum Koopman Algorithms Fleming, N
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4ee44bf7-c09b-4471-a2d0-1cafaa503128 · outbound
Quantum Koopman Algorithms Lostaglio, K
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 03ebe444-e2ab-41f4-82e8-552bc607dc91 · outbound
Quantum Koopman Algorithms Explicit Error Bounds for Carleman Linearization
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1ddbde0a-f80c-41fa-99f4-144a0e73535c · outbound
Quantum Koopman Algorithms Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b8a1697c-ee23-4b68-bff6-2f7f4b50c1f4 · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 241ebde1-9fa0-4c6f-b71a-57dcf112165d · outbound
Quantum Koopman Algorithms Quantum algorithms for general nonlinear dynamics based on the Carleman embedding
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3caeab00-d872-4264-922a-6189775d0d4f · outbound
Quantum Koopman Algorithms Jennings, K
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation efb9936d-4044-479f-8a2b-23dcd64ec125 · outbound
Quantum Koopman Algorithms Bravyi, R
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 969d1801-4c4d-4b3c-84ab-115327cafe37 · outbound
Quantum Koopman Algorithms Novikau and I
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 32ed613d-146f-4679-8d22-280b456cd419 · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5589cab5-97a3-4f5c-b4a3-3a1afa0c9d05 · outbound
Quantum Koopman Algorithms Further improving quantum algorithms for nonlinear differential equations via higher-order methods and rescaling
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 234b5d41-42c8-4bde-8439-ea09db3786ae · outbound
Quantum Koopman Algorithms Lewis, S
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 458ef935-bb0b-46fc-8003-685324b5c6f9 · outbound
Quantum Koopman Algorithms Novikau and I
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 42524432-0bce-4202-a5c3-a5c8eea99ead · outbound
Quantum Koopman Algorithms Joseph, Y
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 20602b2b-ff19-4619-a8fe-0f34760629f4 · outbound
Quantum Koopman Algorithms Page and R
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 26cfa64a-111d-4ee4-860d-419cc520c831 · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b333c891-2f7c-4cd7-b5df-50c4a3b02d20 · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a1b5fe90-be15-496d-a0b1-00842fdd9b81 · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 86a170c6-ddf8-4b21-bc9e-5805b14e3028 · outbound
Quantum Koopman Algorithms A case study against QSVT: assessment of quantum phase estimation improved by signal processing techniques
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ec2273bd-ceeb-492f-bfea-294b05ab9924 · outbound
Quantum Koopman Algorithms Patel, S
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8a31ca34-c560-4ca9-bdb2-4394b1b20b5e · outbound
Quantum Koopman Algorithms Data-driven quantum Koopman method for simulating nonlinear dynamics
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a6d782ec-7f42-4bc8-8cb7-2f8d2b6965a5 · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation edb18f87-8fe5-429b-a1bf-96b9e3d0c01c · outbound
Quantum Koopman Algorithms Efficient quantum algorithm for linear matrix differential equations and applications to open quantum systems
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 01004ca1-7aa2-46ce-b0a8-48fe25b0aa74 · outbound
Quantum Koopman Algorithms Lecture Notes on Quantum Algorithms for Scientific Computation
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 6c99e441-8602-4847-abab-60a0629822e8 · outbound
Quantum Koopman Algorithms Krovi, Quantum7, 913 (2023)
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 6e4196aa-c0d5-4267-b636-b70493066d93 · outbound
Quantum Koopman Algorithms Shukla and P
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 11268d13-18cf-435b-81bd-a2a285a197af · outbound
Quantum Koopman Algorithms A shortcut to an optimal quantum linear system solver
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8b75bd67-bbb5-4535-9675-bdb645cd116d · outbound
Quantum Koopman Algorithms Quantum algorithm for linear matrix equations
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ca6bc267-b7e1-4e0f-89f6-2c0b110a3c45 · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation dce8be23-f790-4ac4-a617-5e80ba56ed66 · outbound
Quantum Koopman Algorithms Casas-Garc´ ıa, L
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation fe70ef41-e4c0-42c6-be75-3b6e17381cb0 · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 84bc60e2-336c-4195-a229-562d25d02583 · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 67
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5accc590-5dde-4c22-b784-ecc75ca25729 · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 68
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d5137f53-7597-428a-afd0-0db81167d3a7 · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 69
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c5152901-33e4-4282-bd7e-a1ebef3a127a · outbound
Quantum Koopman Algorithms [5, 60], the complexityQfor outputting a stateϵ-close to Eq
Reference 70
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c53f577c-ca79-4b5a-a8b5-4df37aa046c9 · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 71
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5db75a5e-8418-4c02-a6a4-815645b2b2fa · outbound
Quantum Koopman Algorithms ∞X k=0 Bkη⊗k # i ,(S109) and so we are dealing with the following dynamical systems: ˙xi =a i(xi) 1 + 1 λiηi
Reference 72
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 21d6ba1b-ec45-4d6f-b3c4-cb8ec5fa68a8 · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 73
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation bb6db57e-e0c2-4183-b483-8d4e8c62ac15 · outbound
Quantum Koopman Algorithms The implementation details of this operation are given in Appendix S7 I
Reference 74
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 22141cae-c4f3-4943-a59a-c146a43d6e1b · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 75
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d9bb99c5-e11f-4731-aae3-61d4aefdd3cb · outbound
Quantum Koopman Algorithms If the outcome isℓ∈ {0,1
Reference 76
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b8b22ea0-9e86-4665-a14a-cac78955bfcb · outbound
Quantum Koopman Algorithms If this step fails, the algorithm terminates
Reference 77
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation acb0a3dd-775e-40eb-9a67-fcab5b6f8e13 · outbound
Quantum Koopman Algorithms If the outcome corresponds toI− |eD⟩⟨eD|, output the final state; otherwise, the algorithm fails
Reference 78
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4fcfc18a-d39d-431e-a773-07c855fdd551 · outbound
Quantum Koopman Algorithms Unresolved cited work
Reference 79
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 53bc4603-7bb4-4760-9765-9777d50204ad · inbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum Koopman Algorithms
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation bded281c-b011-41a6-a64d-bf11c023b063 · inbound
A Quantum Path to Partial Differential Equations Quantum Koopman Algorithms
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b8f8e12d-d37c-43a8-be40-e340f38f1d59 · inbound
From Nonlinear Stochastic Differential Equations to Quantum Channels: The Kolmogorov--Lindblad Mapping Quantum Koopman Algorithms
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.