Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-28T09:46:17.034701Z
Paper Citation Record · LEDGER
As of 6 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 1 inbound Pith citation observation for arXiv:2606.03407.
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 2026-06-28T09:46:17.034701Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-01T16:11:28.543793Z
A source-named dated measurement, never combined with another source.
Source: cited_works
50 of 50 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 622878d3-88cc-4fc8-83f0-a0d13d2b33ea · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum algorithm for linear systems of equations
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 994f3cfe-a685-42fd-9a7c-f922a5c10fab · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum algorithm and circuit design solving the Poisson equation.New Journal of Physics, 15:013021, 2013
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ff6d4b52-53e3-47db-8414-72b65862ab02 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum algorithms and the finite element method.Physical Review A, 93(3):032324, 2016
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 401d462f-5adf-4a53-bc8b-bbdc95633797 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Childs, Jin-Peng Liu, and Aaron Ostrander
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 980cdbd1-c7b4-4f3c-a09b-e5f05c2a19ee · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Unresolved cited work
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b680d6a3-9310-47e4-992c-50f072b704ac · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3b0fe703-552a-4afb-91d7-67c7484bfc3a · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Linear combination of Hamiltonian simulation for nonunitary dynamics with optimal state preparation cost.Physical Review Letters, 131(15):150603, 2023
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 41fba208-b590-499d-8c9a-121586114354 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum algorithm for linear non-unitary dynamics with near- optimal dependence on all parameters.Communications in Mathematical Physics, 407(1):19, 2026
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 317a7aab-d952-4fd4-8617-25d52faa8240 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Optimal quantum simulation of linear non-unitary dynamics
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation f1be9bdd-23e9-42af-a888-c7d2b67464f2 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum simulation of partial differential equations via Schrodingerisation
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 79292a50-5ef8-4c2d-9a1a-098b6089ceaf · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum simulation of partial differential equations via Schrodingerisation: technical details.Physical Review A, 108(3):032603, 2023
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fc7f142f-5550-4d35-b39c-bb51268af8e3 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum circuits for partial differential equations via Schrodingerisation.Quantum, 8:1563, 2024
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8825f2d0-d479-41ed-897b-165adbe7c17b · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum circuits for the heat equation with physical boundary conditions via Schrodingerization.Journal of Computational Physics, 538:114138, 2025
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 923131f7-85ce-4d2e-b693-329dd9465e49 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum simulation of Maxwell’s equations via Schrodingerisation
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 508eea92-93e8-4de1-9221-45a21f5db0c4 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Schr\"odingerization based Quantum Circuits for Maxwell's Equation with time-dependent source terms
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation bf1f866e-fd8b-4d71-844b-571490590ef0 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions On Schrodingerization-based quantum algorithms for linear dynamical systems with inhomogeneous terms.SIAM Journal on Numerical Analysis, 63(4):1861–1885, 2025
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7d74e8d0-2188-44db-9640-f2f70270afae · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Unresolved cited work
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4809f0db-eb12-4183-bc92-24c0a5f4156b · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Berry, Andrew M
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9badb099-806a-492c-ba2a-a54464f6cb69 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Childs and Jin-Peng Liu
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c82c0c71-d828-447f-be1c-bb249b7d9736 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Berry and Pedro C
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b08cbc21-8487-47a3-8f1b-0565df212f6f · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Explicit block encodings of boundary value problems for many-body elliptic operators.Quantum, 9:1764, 2025
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6e8caac0-abe5-4eb6-8a7c-f81e644196d4 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Time-marching based quantum solvers for time-dependent linear differential equations.Quantum, 7:955, 2023
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a1d2d471-2e38-48d1-b4f0-15927c4778d6 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum differential equation solvers: Limitations and fast-forwarding.Communications in Mathematical Physics, 406(8):189, 2025
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 05fe4f58-3ae6-4a48-8d68-5ed3d8cdc6b4 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Circuit-Efficient Randomized Quantum Simulation of Non-Unitary Dynamics with Observable-Driven and Symmetry-Aware Designs
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 21e0de70-2de7-4451-aac2-8fe3354c5b6d · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum algorithm for partial differential equations of nonconservative systems with spatially varying parameters.Physical Review Applied, 23(1):014063, 2025
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8b44836d-83e2-4314-aeab-4f85c25d3e7c · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Infinite-dimensional Extension of the Linear Combination of Hamiltonian Simulation: Theorems and Applications
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 062cb9e2-c3f1-44c4-a447-859d6782986c · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Toward end-to-end quantum simulation of rapidly distorted turbulence.Journal of Computational Physics, page 114888, 2026
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5fea0e68-9966-426d-89c4-0505cd2060b8 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions From linear differential equations to unitaries: A moment-matching dilation frame- work with near-optimal quantum algorithms
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 63e710c6-918d-45c4-872b-a1373eb56391 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum algorithm for simulating the wave equation
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fd5b5bb8-0c25-42e9-8d30-7064e2f98d83 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Hamiltonian simulation for hyperbolic partial differential equations by scalable quantum circuits.Physical Review Research, 6(3):033246, 2024
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6748f2f9-3384-424f-be31-7f768baae9d2 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum algorithm for solving the advection equation using Hamiltonian simulations.Physical Review A, 110(1):012430, 2024
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b3817939-4314-4905-8a4d-0934d28983d7 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Krovi, Nuno F
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 83219a8a-bad3-40bd-ba71-b3f20b26a288 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Improved quantum algorithms for linear and nonlinear differential equations.Quantum, 7:913, 2023
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e88125b2-a4c6-4061-be1c-061aa1935b76 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Efficient quantum algorithm for nonlinear reaction–diffusion equations and energy estimation.Communications in Mathematical Physics, 404(2):963–1020, 2023
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 99f659f8-63b3-46ed-8c57-765b79e84e83 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Unresolved cited work
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 799b507f-1521-4155-a77a-2a16816c839e · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum algorithms for nonlinear dynamics: Revisiting Carleman linearization with no dissipative conditions.SIAM Journal on Scientific Computing, 47(2):A943– A970, 2025
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 56c6e3a1-3f79-4ec7-87fc-b99e6faf3b70 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum algorithms for general nonlinear dynamics based on the Carleman embedding
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation f8a5287c-fd38-4de6-9b4e-e13466c8f337 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Efficient quantum simulation for nonlinear stochastic differential equations
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation cc0cce77-2bbd-45e1-b702-27fd28912a8b · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 188ecca5-1714-4518-a19b-d72b795f967c · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum algorithm for nonlinear differential equations
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 56ce4fdb-df8a-4cb6-8b74-0b2733661359 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum homotopy perturbation method for nonlinear dissi- pative ordinary differential equations.New Journal of Physics, 23(12):123035, 2021
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e9fe43dc-b029-42d8-82a4-a75c029fa9d0 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions HAM-Schrodingerisation: a generic framework of quantum simulation for any nonlinear PDEs
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 6675fb4d-d78a-477b-aca2-00331c4d214e · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum homotopy analysis method with quantum-compatible linearization for nonlinear partial differential equations.Science China Physics, Mechanics & Astronomy, 68:104702, 2025
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5d4abf92-0e71-4019-bf7e-41af74f24861 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Koopman–von Neumann approach to quantum simulation of nonlinear classical dynamics.Physical Review Research, 2:043102, 2020
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f4efb2d0-722f-47ba-95be-49a3d1cf70d3 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum algorithms for nonlinear partial differential equations.Chinese Annals of Mathematics, Series B, 2024
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e928e368-6ac0-43f0-b494-aaea6aea1621 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Time complexity analysis of quantum algorithms via linear representations for nonlinear ODEs and PDEs.Journal of Computational Physics, 2023
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 53bc4603-7bb4-4760-9765-9777d50204ad · outbound
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 2026-08-06T06:34:29.942622+00:00.
Observation 20b4bda6-611a-44b7-b69b-22373654beb8 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum algorithms for Young measures: applications to nonlinear partial differential equations
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 29eaa81d-5cd7-4665-9869-e6485552e728 · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Childs and Nathan Wiebe
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 36548215-9925-41c9-a9dd-0ff84ee8919a · outbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Unresolved cited work
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e188fcb1-e3c2-4847-906d-b1d6cec18084 · inbound
Exponential Reduction of Mesh Dependence in Quantum Estimation of Parabolic PDE Observables Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.