Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T18:15:56.082805Z
Paper Citation Record · LEDGER
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators
As of 19 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2507.18970.
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 2026-08-19T06:32:44.657259+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
Reference resolution
40 of 40 outbound references displayed
- verified exact0
- verified fuzzy27
- unresolved13
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation c68ffe16-8c83-4a2f-86d8-b05858af402d · outbound
This paper cites Childs, and Lin Lin.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Childs, and Lin Lin
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:15:56.613318Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ebe42cde-2da0-435e-8bd5-f914a0322721 · outbound
This paper cites an unresolved cited work.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:15:56.603432Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 25084821-1ae5-4a52-915b-51e65c4fcb39 · outbound
This paper cites Berry, Andrew M.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Berry, Andrew M
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:15:56.593075Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 22dfb2e6-4448-4e23-9698-bbd6afd06dc8 · outbound
This paper cites Quantum simulation for time-dependent hamiltonians-with applications to non-autonomous ordinary and partial differential equations.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Quantum simulation for time-dependent hamiltonians-with applications to non-autonomous ordinary and partial differential equations
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:15:56.580748Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ce0f6cf8-555e-453b-b146-0dce1b414fe2 · outbound
This paper cites Case and Paul Frederick Zweifel.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Case and Paul Frederick Zweifel
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:15:56.567742Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e8b1ed3b-0a88-4c52-b49f-503a04d4b07b · outbound
This paper cites Radiative Transfer.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Radiative Transfer
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:15:56.523952Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d4a47e21-6d3b-4de9-becd-94266dd3cf30 · outbound
This paper cites an unresolved cited work.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:15:56.513983Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation cd47de86-2ac2-484a-b7c0-cd60c953cd19 · outbound
This paper cites Optimal scaling quantum linear systems solver via discrete adiabatic theorem.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Optimal scaling quantum linear systems solver via discrete adiabatic theorem
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:15:55.966705Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ae1f19a7-6259-4568-a289-bbda2ea76659 · outbound
This paper cites Quantum simulation of a class of highly-oscillatory transport equations via Schr\"odingerisation.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Quantum simulation of a class of highly-oscillatory transport equations via Schr\"odingerisation
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:15:55.970705Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 507fe064-aeb5-433a-964d-5c25d098ef2c · outbound
This paper cites Quantum algorithm for linear systems of equations.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Quantum algorithm for linear systems of equations
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:15:56.503537Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 25f11a14-c8f6-4167-8493-c0525095f7c8 · outbound
This paper cites Time complexity analysis of quantum difference methods for the multiscale transport equations.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Time complexity analysis of quantum difference methods for the multiscale transport equations
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:15:56.492469Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e9908751-0083-461c-a5da-d5f6c8f778cc · outbound
This paper cites Asymptotic-preserving schemes for multiscale hyperbolic and kinetic equations.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Asymptotic-preserving schemes for multiscale hyperbolic and kinetic equations
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:15:56.480459Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ce483b03-0f49-4c15-b39a-1609ccb131ac · outbound
This paper cites Quantum algorithms for multiscale partial differential equations.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Quantum algorithms for multiscale partial differential equations
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:15:56.468895Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 11da226a-12e1-42e5-8379-03eed7377b17 · outbound
This paper cites Schr¨ odingerization-based quantum implicit-explicit schemes: From time-dependent pdes to multiscale equations, 2025.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Schr¨ odingerization-based quantum implicit-explicit schemes: From time-dependent pdes to multiscale equations, 2025
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:15:56.457879Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0eb6f43a-94ec-4173-831e-29917d5bbd9d · outbound
This paper cites Fundamental patterns of signal propagation in complex net- works.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Fundamental patterns of signal propagation in complex net- works
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:15:56.446466Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 79931a9c-1213-42f3-aac1-91aeb5b38de2 · outbound
This paper cites Information transfer pathways: Signal propagation in complex global topologies.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Information transfer pathways: Signal propagation in complex global topologies
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:15:56.435517Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 76a7516f-7259-44f1-8b4a-5ece77b0ae09 · outbound
This paper cites Key motifs searching in complex dynamical systems.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Key motifs searching in complex dynamical systems
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:15:56.423878Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9432be21-9f94-463f-ba81-2941683f8f2b · outbound
This paper cites an unresolved cited work.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:15:56.412608Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 72d3a537-ea76-4ff4-9a21-749fde624502 · outbound
This paper cites Quantum simulation for partial differential equations with physical boundary or interface conditions.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Quantum simulation for partial differential equations with physical boundary or interface conditions
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:15:56.006190Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 585e667e-2eca-4546-93ef-69d49a61ef7e · outbound
This paper cites Quantum simulation of discrete linear dynamical systems and simple iterative methods in linear algebra.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Quantum simulation of discrete linear dynamical systems and simple iterative methods in linear algebra
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:15:56.395724Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e275f913-8e81-4c01-89bd-3a4fd957ff29 · outbound
This paper cites Quantum simulation of discrete linear dynamical systems and simple iterative methods in linear algebra.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Quantum simulation of discrete linear dynamical systems and simple iterative methods in linear algebra
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:15:56.385607Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 036c2aba-d0c0-44e5-804e-97594ff833d2 · outbound
This paper cites Quantum simulation for quantum dynamics with artificial boundary conditions.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Quantum simulation for quantum dynamics with artificial boundary conditions
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:15:56.375218Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 23b97e20-57d2-4358-8f56-c171a4a75602 · outbound
This paper cites Quantum simulation of maxwell’s equations via schr¨ odingerisation.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Quantum simulation of maxwell’s equations via schr¨ odingerisation
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:15:56.363444Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 4d4b3c53-cfae-49ee-826c-e4d19ab25e8a · outbound
This paper cites On Schr\"odingerization based quantum algorithms for linear dynamical systems with inhomogeneous terms.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators On Schr\"odingerization based quantum algorithms for linear dynamical systems with inhomogeneous terms
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:15:56.023763Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ff871c58-468e-4d31-9ba7-8217907ccf83 · outbound
This paper cites On the schr¨ odingerization method for linear non- unitary dynamics with optimal dependence on matrix queries.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators On the schr¨ odingerization method for linear non- unitary dynamics with optimal dependence on matrix queries
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:15:56.027450Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d5c00528-c379-40fa-b8b1-445cdb3ae279 · outbound
This paper cites Quantum preconditioning method for finite difference discretizations of the Poisson equation via Schr\"odingerization.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Quantum preconditioning method for finite difference discretizations of the Poisson equation via Schr\"odingerization
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:15:56.031444Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a4ea554a-4d56-47b1-a0e1-15a0c04cccff · outbound
This paper cites Quantum algorithms for stochastic differential equations: A Schr¨ odingerisation approach.Journal of Scientific Computing , 104(2):56, jun 2025.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Quantum algorithms for stochastic differential equations: A Schr¨ odingerisation approach.Journal of Scientific Computing , 104(2):56, jun 2025
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:15:56.351959Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation cb813b89-f155-4d04-aa65-8b794ba8d906 · outbound
This paper cites Time complexity analysis of quantum difference methods for linear high dimensional and multiscale partial differential equations.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Time complexity analysis of quantum difference methods for linear high dimensional and multiscale partial differential equations
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:15:56.340114Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 8198f214-cad3-4bb7-9fa1-24d981db62fe · outbound
This paper cites Quantum simulation of partial differential equations: Applications and detailed analysis.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Quantum simulation of partial differential equations: Applications and detailed analysis
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:15:56.328775Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 4ab7cef0-399e-4d81-af3b-0a91a45c1210 · outbound
This paper cites Quantum simulation of partial differential equations via schr¨ odingerization.Physical Review Letters, 133:230602, 2024.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Quantum simulation of partial differential equations via schr¨ odingerization.Physical Review Letters, 133:230602, 2024
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:15:56.317639Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 6dd30b7d-ce8c-40a8-9a41-63516d297699 · outbound
This paper cites Quantum simulation of the Fokker-Planck equation via Schrodingerization.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Quantum simulation of the Fokker-Planck equation via Schrodingerization
Reference 31
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:15:56.050067Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b46fcff4-79e2-4ce4-9b36-c914b740630f · outbound
This paper cites Uniformly accurate diffusive relaxation schemes for multiscale transport equations.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Uniformly accurate diffusive relaxation schemes for multiscale transport equations
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:15:56.306499Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9ef28780-603f-472d-9fdc-cdcd74c5aa0c · outbound
This paper cites Quantum Circuits for the Black-Scholes equations via Schr\"{o}dingerisation.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Quantum Circuits for the Black-Scholes equations via Schr\"{o}dingerisation
Reference 33
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:15:56.057143Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 446e4187-eaa0-4e0f-b46a-2d77e8c02549 · outbound
This paper cites Quantum simulation of elastic wave equations via Schr\"odingerisation.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Quantum simulation of elastic wave equations via Schr\"odingerisation
Reference 34
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:15:56.061126Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3e5ea2be-3f9b-444b-9fbd-c53f3f6944ad · outbound
This paper cites A new asymptotic preserving scheme based on micro- macro formulation for linear kinetic equations in the diffusion limit.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators A new asymptotic preserving scheme based on micro- macro formulation for linear kinetic equations in the diffusion limit
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:15:56.295342Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 13c4a2f0-4119-4baf-913e-a82d64f1e688 · outbound
This paper cites Markowich, Christian A.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Markowich, Christian A
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:15:56.284164Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 4b51c674-d6ab-4fc1-9527-72efad49e291 · outbound
This paper cites An implicit monte carlo method for rarefied gas dynamics: I.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators An implicit monte carlo method for rarefied gas dynamics: I
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:15:56.273278Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 10c1521e-f180-4cb2-bff4-9dc24a016198 · outbound
This paper cites Quantum Computing in the NISQ era and beyond.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Quantum Computing in the NISQ era and beyond
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:15:56.261539Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 5cdaa46c-f35b-4dde-909d-7e66d47803fa · outbound
This paper cites an unresolved cited work.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Unresolved cited work
Reference 39
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:15:56.250094Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b6dabe23-3797-4132-aafc-62e8ab6483d8 · outbound
This paper cites Subasi and R.
Quantum simulation of multiscale linear transport equations via Schr\"odingerization and exponential integrators Subasi and R
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:15:56.238391Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Pith citing papers
No inbound Pith citation observations are available.