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Paper Citation Record · LEDGER

Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions

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.

pith.paper-citation-record.v1
2606.03407 v1

Coverage vector

measured 50 of 50 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-28T09:46:17.034701Z

measured 51 of 51 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T16:11:28.543793Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

50 of 50 outbound references displayed

  • verified exact9
  • verified fuzzy0
  • unresolved38
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch3

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Outbound references

Observation 622878d3-88cc-4fc8-83f0-a0d13d2b33ea · outbound

This paper cites Quantum algorithm for linear systems of equations.

Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum algorithm for linear systems of equations

Reference 1

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:69916d1704bab3b4088b2adc436ce784c5f6850eca548383e058a63b0cdcbe2f

Observation 994f3cfe-a685-42fd-9a7c-f922a5c10fab · outbound

This paper cites Quantum algorithm and circuit design solving the Poisson equation.New Journal of Physics, 15:013021, 2013.

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

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:ecfe1a3c2a8518226a787cacbd669dffd2b3afd5fb9fbc61543996d860a8e7fa

Observation ff6d4b52-53e3-47db-8414-72b65862ab02 · outbound

This paper cites Quantum algorithms and the finite element method.Physical Review A, 93(3):032324, 2016.

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

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:4b9c8fd4a5cfda0eca017e3fb312db0032d9445aefd69cd9f9a025b467cda8df

Observation 401d462f-5adf-4a53-bc8b-bbdc95633797 · outbound

This paper cites Childs, Jin-Peng Liu, and Aaron Ostrander.

Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Childs, Jin-Peng Liu, and Aaron Ostrander

Reference 4

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:a1aefe115586e461decbf8ea8cb634abda1caed48d79a9d600f6883ae5e800da

Observation 980cdbd1-c7b4-4f3c-a09b-e5f05c2a19ee · outbound

This paper cites an unresolved cited work.

Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Unresolved cited work

Reference 5

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:4dfd29bb780560c6516a8204878143beb62dece558776a0a471b59264ca39bb8

Observation b680d6a3-9310-47e4-992c-50f072b704ac · outbound

This paper cites Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics.

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

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:f01a4ce9d0ded96b0fb74915be1827f01ddf9449dfc001733f95b85dcf0d5740

Observation 3b0fe703-552a-4afb-91d7-67c7484bfc3a · outbound

This paper cites Linear combination of Hamiltonian simulation for nonunitary dynamics with optimal state preparation cost.Physical Review Letters, 131(15):150603, 2023.

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

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:d3127174757eba14eb0a483bccada23e173f54050203fcf15be42cf096894a6f

Observation 41fba208-b590-499d-8c9a-121586114354 · outbound

This paper cites Quantum algorithm for linear non-unitary dynamics with near- optimal dependence on all parameters.Communications in Mathematical Physics, 407(1):19, 2026.

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

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:e3cd6a096573a4e8f2c465d0cf7ca1625b081e9d932be67a255323c9b33dd010

Observation 317a7aab-d952-4fd4-8617-25d52faa8240 · outbound

This paper cites Optimal quantum simulation of linear non-unitary dynamics.

Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Optimal quantum simulation of linear non-unitary dynamics

Reference 9

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:ae32c5e45b6d7c7d8168eea5bee98ce090e4690c53f450aeee825a15596cb8a8

Observation f1be9bdd-23e9-42af-a888-c7d2b67464f2 · outbound

This paper cites Quantum simulation of partial differential equations via Schrodingerisation.

Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum simulation of partial differential equations via Schrodingerisation

Reference 10

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:2888b715b58d37972218513d8c543e5260070fdb18c20ff9134d9df162c5002f

Observation 79292a50-5ef8-4c2d-9a1a-098b6089ceaf · outbound

This paper cites Quantum simulation of partial differential equations via Schrodingerisation: technical details.Physical Review A, 108(3):032603, 2023.

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

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:716d9dbc80173bcf8a02602feebe30a6c92379d544cf082de8bca86d568fa0a0

Observation fc7f142f-5550-4d35-b39c-bb51268af8e3 · outbound

This paper cites Quantum circuits for partial differential equations via Schrodingerisation.Quantum, 8:1563, 2024.

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

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:a5628213cff0906afab48433495f9dc2eb1caf7388e3c6fa6f70bb851cb3ba82

Observation 8825f2d0-d479-41ed-897b-165adbe7c17b · outbound

This paper cites Quantum circuits for the heat equation with physical boundary conditions via Schrodingerization.Journal of Computational Physics, 538:114138, 2025.

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

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:34955feb013a6ecd99dba53d8ba14f7c6e1be2e3e52ff13106626568b3a2cb66

Observation 923131f7-85ce-4d2e-b693-329dd9465e49 · outbound

This paper cites Quantum simulation of Maxwell’s equations via Schrodingerisation.

Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum simulation of Maxwell’s equations via Schrodingerisation

Reference 14

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:84efd0246ffae5b021209e72c573cfc710535b8bba9a7f49cb7de4ab95f108c2

Observation 508eea92-93e8-4de1-9221-45a21f5db0c4 · outbound

This paper cites Schr\"odingerization based Quantum Circuits for Maxwell's Equation with time-dependent source terms.

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

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:bf16582c13b937520d73752d5d884c8da69f20b277b31a614941be8bee793357

Observation bf1f866e-fd8b-4d71-844b-571490590ef0 · outbound

This paper cites On Schrodingerization-based quantum algorithms for linear dynamical systems with inhomogeneous terms.SIAM Journal on Numerical Analysis, 63(4):1861–1885, 2025.

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

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:8c2df95a7826c7d95c0b9f3dd011fcdca88f8fe6a08437fb397f9b30f18d039d

Observation 7d74e8d0-2188-44db-9640-f2f70270afae · outbound

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Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Unresolved cited work

Reference 17

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:cf678ea5745d16f2162b9b3e946a9db1d96969ec0e4780ac5a4ebcf320128135

Observation 4809f0db-eb12-4183-bc92-24c0a5f4156b · outbound

This paper cites Berry, Andrew M.

Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Berry, Andrew M

Reference 18

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:c87d38ce1d56072def7bbd33477ab9e8d6011e320bfb4eeeb43d5dab0234dcad

Observation 9badb099-806a-492c-ba2a-a54464f6cb69 · outbound

This paper cites Childs and Jin-Peng Liu.

Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Childs and Jin-Peng Liu

Reference 19

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:b9e77840ee08b126d103c3898b245ca621c5eeb7eea14d71cd9d1736a3ec64e6

Observation c82c0c71-d828-447f-be1c-bb249b7d9736 · outbound

This paper cites Berry and Pedro C.

Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Berry and Pedro C

Reference 20

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:af83ed9f94de16cfed2120e6c82e6e8e5467050c65261ca585caeeb724ea586a

Observation b08cbc21-8487-47a3-8f1b-0565df212f6f · outbound

This paper cites Explicit block encodings of boundary value problems for many-body elliptic operators.Quantum, 9:1764, 2025.

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

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:da76f977bec3d6d808478080a3a4dacf3dbb4242dfdd72329d4d115dbb2dc1ae

Observation 6e8caac0-abe5-4eb6-8a7c-f81e644196d4 · outbound

This paper cites Time-marching based quantum solvers for time-dependent linear differential equations.Quantum, 7:955, 2023.

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

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:07e824dfe0d4d025eedb05d915fca475ff42b1a1ec57de3c5eec28846a5f069e

Observation a1d2d471-2e38-48d1-b4f0-15927c4778d6 · outbound

This paper cites Quantum differential equation solvers: Limitations and fast-forwarding.Communications in Mathematical Physics, 406(8):189, 2025.

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

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:cd04638d19f1137ce54b148c4e9705a7bee58db6678f64bbb28e7249af0d6f8a

Observation 05fe4f58-3ae6-4a48-8d68-5ed3d8cdc6b4 · outbound

This paper cites Circuit-Efficient Randomized Quantum Simulation of Non-Unitary Dynamics with Observable-Driven and Symmetry-Aware Designs.

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

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:bec0c2aeffb4b88061c49b36b59240f9dbbe0ef632b403ca3acc3ccdd549dc1f

Observation 21e0de70-2de7-4451-aac2-8fe3354c5b6d · outbound

This paper cites Quantum algorithm for partial differential equations of nonconservative systems with spatially varying parameters.Physical Review Applied, 23(1):014063, 2025.

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

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:308c720cb3b7daffce3e976e53dc72e9e134eb7e78b6e3fdce13d4b6192f6b68

Observation 8b44836d-83e2-4314-aeab-4f85c25d3e7c · outbound

This paper cites Infinite-dimensional Extension of the Linear Combination of Hamiltonian Simulation: Theorems and Applications.

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

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:a252172a317b62f854cdd4626eb89924e75bff3a3a7fd8e3f6af35aa91a6369d

Observation 062cb9e2-c3f1-44c4-a447-859d6782986c · outbound

This paper cites Toward end-to-end quantum simulation of rapidly distorted turbulence.Journal of Computational Physics, page 114888, 2026.

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

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:f71acf775fd6ad6683b8b86f398b887fc9282d5edd87e72af4dc8c1bcc19dede

Observation 5fea0e68-9966-426d-89c4-0505cd2060b8 · outbound

This paper cites From linear differential equations to unitaries: A moment-matching dilation frame- work with near-optimal quantum algorithms.

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

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:6e360bc68ea7d2adf2109bb19915c3ded4d5540ab3794ccb3e298ee370fc35a8

Observation 63e710c6-918d-45c4-872b-a1373eb56391 · outbound

This paper cites Quantum algorithm for simulating the wave equation.

Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum algorithm for simulating the wave equation

Reference 29

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:0e5fd21b7551bc115d068121c1c9ec72f199aa9553018b714786895715fe9a6d

Observation fd5b5bb8-0c25-42e9-8d30-7064e2f98d83 · outbound

This paper cites Hamiltonian simulation for hyperbolic partial differential equations by scalable quantum circuits.Physical Review Research, 6(3):033246, 2024.

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

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:23d69b6ea426b18b2cac90a4d9b266426f75bb061a740703046416f060b13fd4

Observation 6748f2f9-3384-424f-be31-7f768baae9d2 · outbound

This paper cites Quantum algorithm for solving the advection equation using Hamiltonian simulations.Physical Review A, 110(1):012430, 2024.

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

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:8c349d9e0c0f7560e16af924236d843046cd85cf64640396ae3c1de0e3671143

Observation b3817939-4314-4905-8a4d-0934d28983d7 · outbound

This paper cites Krovi, Nuno F.

Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Krovi, Nuno F

Reference 32

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:71528f5af9d85c23fd5e646baa0654ede7b2399bd494936dfd3c1de5375b30d1

Observation 83219a8a-bad3-40bd-ba71-b3f20b26a288 · outbound

This paper cites Improved quantum algorithms for linear and nonlinear differential equations.Quantum, 7:913, 2023.

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

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:744edadfd0e5bb5127689d6824f361802eb86afd9d06c16c0d75f2a5e327fa44

Observation e88125b2-a4c6-4061-be1c-061aa1935b76 · outbound

This paper cites Efficient quantum algorithm for nonlinear reaction–diffusion equations and energy estimation.Communications in Mathematical Physics, 404(2):963–1020, 2023.

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

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:939497023514b2eb3e4587e738d78dad53209573f78bbc9738be2b7e6d085a0e

Observation 99f659f8-63b3-46ed-8c57-765b79e84e83 · outbound

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Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Unresolved cited work

Reference 35

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Observation 799b507f-1521-4155-a77a-2a16816c839e · outbound

This paper cites Quantum algorithms for nonlinear dynamics: Revisiting Carleman linearization with no dissipative conditions.SIAM Journal on Scientific Computing, 47(2):A943– A970, 2025.

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

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:748273228499a0a3631501e3ad82f685dca7b8560d711a4e362c7e3ee81dbdd0

Observation 56c6e3a1-3f79-4ec7-87fc-b99e6faf3b70 · outbound

This paper cites Quantum algorithms for general nonlinear dynamics based on the Carleman embedding.

Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

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arxiv_id, observed 2026-07-02T03:46:32.264982Z

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:d6e56eac7ae12909771a2d8a1dc04e7c09569dcc1ed57ace4ad2dde61db32985

Observation f8a5287c-fd38-4de6-9b4e-e13466c8f337 · outbound

This paper cites Efficient quantum simulation for nonlinear stochastic differential equations.

Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Efficient quantum simulation for nonlinear stochastic differential equations

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arxiv_id, observed 2026-07-02T03:46:32.238124Z

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:cdbf5ef58396dd21845931ce3f30cabd7fbc9befcb4020f58b16fcddbb246c84

Observation cc0cce77-2bbd-45e1-b702-27fd28912a8b · outbound

This paper cites Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization.

Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization

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local_arxiv, observed 2026-07-02T03:46:32.237452Z

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:85166f7b3ac0f30861ef41137f2db78dbdb3fd78ab1e7e589c6659e961dcb206

Observation 188ecca5-1714-4518-a19b-d72b795f967c · outbound

This paper cites Quantum algorithm for nonlinear differential equations.

Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum algorithm for nonlinear differential equations

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:3692fc80f926dd92d43786715408a16e95b644148932a0fb07b44a0caa0b823a

Observation 56ce4fdb-df8a-4cb6-8b74-0b2733661359 · outbound

This paper cites Quantum homotopy perturbation method for nonlinear dissi- pative ordinary differential equations.New Journal of Physics, 23(12):123035, 2021.

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

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:ae2138df64bfecd4ae23b8a7b47d8bf83980e0058de61635488cd332d703cb86

Observation e9fe43dc-b029-42d8-82a4-a75c029fa9d0 · outbound

This paper cites HAM-Schrodingerisation: a generic framework of quantum simulation for any nonlinear PDEs.

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

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arxiv_id, observed 2026-07-02T03:46:32.249475Z

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:15fd999237447d6b6b9a4e5c41d768fdae4b61a0a7ab4b9715090f0d50bb9f3b

Observation 6675fb4d-d78a-477b-aca2-00331c4d214e · outbound

This paper cites Quantum homotopy analysis method with quantum-compatible linearization for nonlinear partial differential equations.Science China Physics, Mechanics & Astronomy, 68:104702, 2025.

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

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Observation 5d4abf92-0e71-4019-bf7e-41af74f24861 · outbound

This paper cites Koopman–von Neumann approach to quantum simulation of nonlinear classical dynamics.Physical Review Research, 2:043102, 2020.

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

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:cc770442b33398f379a36b7917b677957045ac2160c6eeb56a88454886730ba7

Observation f4efb2d0-722f-47ba-95be-49a3d1cf70d3 · outbound

This paper cites Quantum algorithms for nonlinear partial differential equations.Chinese Annals of Mathematics, Series B, 2024.

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

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:abb84ec88b84bc6db6c0c73d5889b1cc5dc7a606c65092895a6d96f39101e003

Observation e928e368-6ac0-43f0-b494-aaea6aea1621 · outbound

This paper cites Time complexity analysis of quantum algorithms via linear representations for nonlinear ODEs and PDEs.Journal of Computational Physics, 2023.

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

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Observation 53bc4603-7bb4-4760-9765-9777d50204ad · outbound

This paper cites Quantum Koopman Algorithms.

Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum Koopman Algorithms

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local_arxiv, observed 2026-07-02T03:46:32.247522Z

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:ffebece6b1851f19c708955564138ea3406efe7dc643db5e3dd34806983bd247

Observation 20b4bda6-611a-44b7-b69b-22373654beb8 · outbound

This paper cites Quantum algorithms for Young measures: applications to nonlinear partial differential equations.

Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum algorithms for Young measures: applications to nonlinear partial differential equations

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:28fe60f3a8a3f069c30d9e6aea1c96c7abd87d5bf5ff73fb0513b869d7d886e8

Observation 29eaa81d-5cd7-4665-9869-e6485552e728 · outbound

This paper cites Childs and Nathan Wiebe.

Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Childs and Nathan Wiebe

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Observation 36548215-9925-41c9-a9dd-0ff84ee8919a · outbound

This paper cites an unresolved cited work.

Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Unresolved cited work

Reference 50

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source=pdf_text observed=2026-06-28T09:46:17.034701Z digest=sha256:3004ce3e867e62895c0dca5ffe02d802aa72f592f0ea5bd8024747ce9fc77a08

Pith citing papers

Observation e188fcb1-e3c2-4847-906d-b1d6cec18084 · inbound

Exponential Reduction of Mesh Dependence in Quantum Estimation of Parabolic PDE Observables cites this paper.

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

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source=pdf_text observed=2026-08-01T16:11:28.543793Z digest=sha256:2917fd220bae9ea4aa99299948adbde317a228819acbec5f1ff951adb284f5f5