Paper Citation Record · LEDGER

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

As of 23 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 18 inbound Pith citation observations for arXiv:2509.07155.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2509.07155 v1

Coverage vector

measured 63 of 63 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:23:46.028074Z

measured 81 of 81 standing notices

One-hop event checks from named stored sources.

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measured 18 of 18 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:00:21.270296Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T19:27:32.390931Z

Reference resolution

63 of 63 outbound references displayed

verified exact3
verified fuzzy12
unresolved42
parse uncertain0
malformed identifier6
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 91e654d4-16f7-4651-80b8-138f87383473 · outbound

This paper cites Lecture notes on quantum algorithms for scientific computation,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Lecture notes on quantum algorithms for scientific computation,

Reference 1

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Observation dcc45e71-0b25-4fa3-b147-d36fad1327bd · outbound

This paper cites High-order quantum algorithm for solving linear differential equations.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding High-order quantum algorithm for solving linear differential equations

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.217121Z

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Observation f2360e7d-3766-43fc-863e-cae53a6a9f5b · outbound

This paper cites Quantum algorithm for linear differential equations with exponentially improved dependence on precision.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Quantum algorithm for linear differential equations with exponentially improved dependence on precision

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.223051Z

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Observation 5ab38638-5e1d-4e2e-9068-f8a90641838f · outbound

This paper cites Quantum algorithm for time-dependent differential equations using Dyson series.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Quantum algorithm for time-dependent differential equations using Dyson series

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.228273Z

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Observation c1c6f7c5-0aff-424e-b409-fde9f904381b · outbound

This paper cites Linear combination of Hamiltonian simulation for nonunitary dynamics with optimal state preparation cost,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Linear combination of Hamiltonian simulation for nonunitary dynamics with optimal state preparation cost,

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.233320Z

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Observation b0c0508c-2606-4228-8cd6-a6fc2999c2d5 · outbound

This paper cites Quantum algorithm for linear non-unitary dynamics with near-optimal dependence on all parameters,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Quantum algorithm for linear non-unitary dynamics with near-optimal dependence on all parameters,

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.238165Z

Source-reported events for the cited work

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Observation cfcdcbfc-ca3d-4c34-94e5-42d6d172eb70 · outbound

This paper cites The cost of solv- ing linear differential equations on a quantum computer: Fast-forwarding to explicit resource counts,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding The cost of solv- ing linear differential equations on a quantum computer: Fast-forwarding to explicit resource counts,

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.261474Z

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Observation c07c4560-3cbf-4d3d-aeee-fde6cc054767 · outbound

This paper cites Efficient quantum algorithm for dissipative nonlinear differential equations,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Efficient quantum algorithm for dissipative nonlinear differential equations,

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.291640Z

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Observation 54994da1-ab6d-43fc-8ada-986083a452e2 · outbound

This paper cites An efficient quantum algorithm for simulating polynomial differential equations.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding An efficient quantum algorithm for simulating polynomial differential equations

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.316681Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7f6a2372-317e-4462-bad7-ababd1de910c · outbound

This paper cites Further improving quantum algorithms for nonlinear differential equations via higher-order methods and rescaling.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Further improving quantum algorithms for nonlinear differential equations via higher-order methods and rescaling

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.342538Z

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Observation 58fba04e-d81d-451c-818d-c05fc1db8a58 · outbound

This paper cites Improved quantum algorithms for linear and nonlinear differential equations,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Improved quantum algorithms for linear and nonlinear differential equations,

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.373177Z

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Observation 676945bd-2fcc-46d8-bb90-93c17b76472d · outbound

This paper cites Efficient quantum algorithm for nonlinear reaction–diffusion equations and energy estimation,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Efficient quantum algorithm for nonlinear reaction–diffusion equations and energy estimation,

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.423808Z

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Observation 99252a88-b137-4657-8bd0-42e3307f480a · outbound

This paper cites Linear embedding of nonlinear dynamical systems and prospects for efficient quantum algorithms,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Linear embedding of nonlinear dynamical systems and prospects for efficient quantum algorithms,

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.428894Z

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Observation 4339561a-fade-4d24-9a0b-fea0f8bc4067 · outbound

This paper cites Application de la theorie des equations integrales lineaires aux systemes d’equations differentielles nonlineaires,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Application de la theorie des equations integrales lineaires aux systemes d’equations differentielles nonlineaires,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:23:47.482827Z

Source-reported events for the cited work

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Observation 759b0f46-0fb9-4ad7-8138-5513a0789c31 · outbound

This paper cites Challenges for quantum computation of nonlinear dynamical systems using linear representations.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Challenges for quantum computation of nonlinear dynamical systems using linear representations

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.444160Z

Source-reported events for the cited work

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Observation db1823d2-38a6-46a1-b7a9-9ba258c99ef7 · outbound

This paper cites Koopman–von Neumann approach to quantum simulation of nonlinear classi- cal dynamics,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Koopman–von Neumann approach to quantum simulation of nonlinear classi- cal dynamics,

Reference 17

Resolution: malformed identifier; no resolver link, observed 2026-08-15T16:23:45.448625Z

Source-reported events for the cited work

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Observation 46c923af-068d-4302-afa5-2df452c2711a · outbound

This paper cites Universal formats for nonlinear ordinary differential systems,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Universal formats for nonlinear ordinary differential systems,

Reference 18

Resolution: verified exact; doi, observed 2026-08-15T16:23:46.400418Z

Source-reported events for the cited work

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Observation baf11e2e-0d8c-4652-b481-49318a84c1d6 · outbound

This paper cites Kowalski and W.-H.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Kowalski and W.-H

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:23:47.464514Z

Source-reported events for the cited work

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Observation ceea1024-1e69-431b-91e0-059b713a950d · outbound

This paper cites Exponential quantum speedup in simulating coupled classical oscillators,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Exponential quantum speedup in simulating coupled classical oscillators,

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.463733Z

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Observation deb82924-3d0d-49da-bc5f-a37ffdfbbf01 · outbound

This paper cites Quantum algorithms to simulate quadratic classical Hamiltonians and optimal control.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Quantum algorithms to simulate quadratic classical Hamiltonians and optimal control

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.468488Z

Source-reported events for the cited work

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Observation 3c5a6cb8-18d9-4d94-9fab-d4cfb6f53b49 · outbound

This paper cites Gate-based quantum simulation of gaussian bosonic circuits on exponentially many modes,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Gate-based quantum simulation of gaussian bosonic circuits on exponentially many modes,

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.473605Z

Source-reported events for the cited work

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Observation 785ba509-671a-4898-a75e-d3256a236322 · outbound

This paper cites Quantum simulation of a noisy classical nonlinear dynamics,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Quantum simulation of a noisy classical nonlinear dynamics,

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.479233Z

Source-reported events for the cited work

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Observation 0d3e5866-ce83-4481-8804-1cb1cd275a5f · outbound

This paper cites Explicit Error Bounds for Carleman Linearization.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Explicit Error Bounds for Carleman Linearization

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.484531Z

Source-reported events for the cited work

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Observation bd7e406f-2200-4751-a495-c5bbc3f136ed · outbound

This paper cites Transient effects of linear dynamical systems,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Transient effects of linear dynamical systems,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:23:47.448694Z

Source-reported events for the cited work

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Observation 583bd204-a7a2-452c-a911-d40d857e6634 · outbound

This paper cites Quantum Algorithms for Nonlinear Dynamics: Revisiting Carleman Linearization with No Dissipative Conditions.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Quantum Algorithms for Nonlinear Dynamics: Revisiting Carleman Linearization with No Dissipative Conditions

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.494811Z

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Observation 032a6633-bede-4f04-a40b-d86fbb9b1fec · outbound

This paper cites Quantum algorithms and the finite element method,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Quantum algorithms and the finite element method,

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.500620Z

Source-reported events for the cited work

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Observation eef87ff8-ac63-4fa1-ac04-c8c5bcd60618 · outbound

This paper cites Quantum spectral methods for differential equations,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Quantum spectral methods for differential equations,

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.505833Z

Source-reported events for the cited work

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Observation 4e1e192c-2faa-457c-b611-eb28cbe17dc5 · outbound

This paper cites Quantum algorithm for simulating the wave equation,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Quantum algorithm for simulating the wave equation,

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.515765Z

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Observation 85ba2e36-e02d-40ee-8056-379036a52cdb · outbound

This paper cites Quantum simulation of partial differential equations via Schr¨ odingerization,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Quantum simulation of partial differential equations via Schr¨ odingerization,

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.544326Z

Source-reported events for the cited work

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Observation 47eecaf0-5bf7-47db-9acf-681331c98e00 · outbound

This paper cites Quantum simulation of partial differential equations: Applica- tions and detailed analysis,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Quantum simulation of partial differential equations: Applica- tions and detailed analysis,

Reference 32

Resolution: malformed identifier; no resolver link, observed 2026-08-15T16:23:45.582623Z

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Observation 4fe2a644-7f11-4fa6-96da-22a822deb299 · outbound

This paper cites Quantum eigenvalue processing,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Quantum eigenvalue processing,

Reference 33

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Observation ec13fbee-7ec5-44d2-b460-f44f9406d392 · outbound

This paper cites Quantum differential equation solvers: limitations and fast-forwarding.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Quantum differential equation solvers: limitations and fast-forwarding

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.691856Z

Source-reported events for the cited work

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Observation 1207d89b-b27b-441d-a463-ed7ffedee3ff · outbound

This paper cites Fast-forwarding quantum algorithms for linear dissipative differential equations,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Fast-forwarding quantum algorithms for linear dissipative differential equations,

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.729910Z

Source-reported events for the cited work

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Observation 659671ba-f5eb-451d-9dd2-22e9126454b3 · outbound

This paper cites Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.770712Z

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Observation 79d66121-366b-42cd-83f5-3d76b7afcec9 · outbound

This paper cites an unresolved cited work.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:23:47.430787Z

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Observation 02e96c6b-c171-4e30-8efd-9658d6212da3 · outbound

This paper cites Normal forms, resonance and bifurcation analysis via the Carleman linearization,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Normal forms, resonance and bifurcation analysis via the Carleman linearization,

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.815951Z

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Observation aa3a4426-2cb8-4ca9-9c05-f07f84b4c397 · outbound

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

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Quantum singular value transformation and beyond: Exponential improvements for quantum matrix arithmetics,

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.820751Z

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Observation a57fa45e-c496-4a95-9c10-35f367af29ad · outbound

This paper cites Efficient quantum algorithms for analyzing large sparse electrical networks,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Efficient quantum algorithms for analyzing large sparse electrical networks,

Reference 41

Resolution: malformed identifier; no resolver link, observed 2026-08-15T16:23:45.825482Z

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Observation aff2ef12-83e3-4109-bc48-41de0cf15e83 · outbound

This paper cites The power of block-encoded matrix powers: Improved regression techniques via faster Hamiltonian simulation,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding The power of block-encoded matrix powers: Improved regression techniques via faster Hamiltonian simulation,

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.830609Z

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Observation dc9c72c8-31e3-407e-8967-908a71e2cece · outbound

This paper cites Optimal Hamiltonian simulation by quantum signal process- ing,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Optimal Hamiltonian simulation by quantum signal process- ing,

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.835809Z

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Observation 00c4807a-f395-402e-b94c-8ea62688b908 · outbound

This paper cites Wiggins,Introduction to applied nonlinear dynamical systems and chaos.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Wiggins,Introduction to applied nonlinear dynamical systems and chaos

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:23:47.412948Z

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Observation 1bf5d6f0-4e5a-4857-b5cb-7c1816a5b25b · outbound

This paper cites an unresolved cited work.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:23:47.394837Z

Source-reported events for the cited work

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Observation 9d1743d5-9080-4b31-b096-d1f1781da301 · outbound

This paper cites an unresolved cited work.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Unresolved cited work

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.850081Z

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Observation 49cb3ffa-c192-4b21-a1c1-e41f933fb6fc · outbound

This paper cites Pozrikidis,Fluid dynamics: theory, computation, and numerical simulation.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Pozrikidis,Fluid dynamics: theory, computation, and numerical simulation

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:23:47.367144Z

Source-reported events for the cited work

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Observation c3626a3c-1223-4fbc-bf1a-22acc7536923 · outbound

This paper cites Foundations of chemical reaction network theory,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Foundations of chemical reaction network theory,

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.859635Z

Source-reported events for the cited work

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Observation 41e5e286-0d47-4e1c-82f5-431cd0311519 · outbound

This paper cites Tajima,Computational plasma physics: with applications to fusion and astrophysics.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Tajima,Computational plasma physics: with applications to fusion and astrophysics

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:23:47.340221Z

Source-reported events for the cited work

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Observation c1d656ab-99cd-4eb2-a49b-6b558b274b0e · outbound

This paper cites Meron,Nonlinear physics of ecosystems.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Meron,Nonlinear physics of ecosystems

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:23:47.323612Z

Source-reported events for the cited work

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Observation 9c441bb1-99c4-4db1-bd84-c42eced2a044 · outbound

This paper cites Heisenberg-limited ground-state energy estimation for early fault- tolerant quantum computers,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Heisenberg-limited ground-state energy estimation for early fault- tolerant quantum computers,

Reference 51

Resolution: malformed identifier; no resolver link, observed 2026-08-15T16:23:45.874625Z

Source-reported events for the cited work

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Observation aa91f618-4b51-4b12-835b-16cf41228bee · outbound

This paper cites Ground-state preparation and energy estimation on early fault-tolerant quantum computers via quantum eigenvalue transformation of unitary matri- ces,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Ground-state preparation and energy estimation on early fault-tolerant quantum computers via quantum eigenvalue transformation of unitary matri- ces,

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.879706Z

Source-reported events for the cited work

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Observation 9c38a7c6-d9ac-42e1-b29a-2676783c2a72 · outbound

This paper cites State preparation boosters for early fault-tolerant quantum computation,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding State preparation boosters for early fault-tolerant quantum computation,

Reference 54

Resolution: malformed identifier; no resolver link, observed 2026-08-15T16:23:45.889338Z

Source-reported events for the cited work

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Observation f15af801-6256-478f-ae67-dfdc99c1f874 · outbound

This paper cites Quantum algorithm for ground state energy estimation using circuit depth with exponentially improved dependence on precision,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Quantum algorithm for ground state energy estimation using circuit depth with exponentially improved dependence on precision,

Reference 55

Resolution: malformed identifier; doi_truncated, observed 2026-08-15T16:23:46.220962Z

Source-reported events for the cited work

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Observation 9fb988ef-fdb2-49ca-a1db-5eb3122aa6ea · outbound

This paper cites Early fault-tolerant quantum computing,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Early fault-tolerant quantum computing,

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.904110Z

Source-reported events for the cited work

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Observation 9f6f2238-4812-4de3-a4c3-c5c79284eb75 · outbound

This paper cites Efficient ground-state-energy esti- mation and certification on early fault-tolerant quantum computers,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Efficient ground-state-energy esti- mation and certification on early fault-tolerant quantum computers,

Reference 57

Resolution: verified exact; doi, observed 2026-08-15T16:23:46.128804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 47908886-f180-4e4c-b2f6-19d49b0ae660 · outbound

This paper cites an unresolved cited work.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Unresolved cited work

Reference 58

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:23:47.307794Z

Source-reported events for the cited work

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Observation c422a021-544e-49df-a47e-a7553a0cf8da · outbound

This paper cites The Catalan number kappa-fold self-convolution identity: The original formulation,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding The Catalan number kappa-fold self-convolution identity: The original formulation,

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:23:47.289974Z

Source-reported events for the cited work

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Observation d42cb0ce-5333-4cf0-8dcd-c4f5249d715d · outbound

This paper cites Simple random sampling of binary forests with fixed number of nodes and trees,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Simple random sampling of binary forests with fixed number of nodes and trees,

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:23:47.273682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 39af2e04-a2ca-4d75-8489-d8155acbaec3 · outbound

This paper cites an unresolved cited work.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Unresolved cited work

Reference 61

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:23:47.257057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ceb2e3b6-d229-4759-8bd6-f6609f30304d · outbound

This paper cites Simulating Hamiltonian dynamics with a truncated Taylor series,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Simulating Hamiltonian dynamics with a truncated Taylor series,

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.934442Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cfc154e6-8117-4178-8951-adeaebd3a2e9 · outbound

This paper cites Optimal scaling quantum linear-systems solver via discrete adiabatic theorem,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Optimal scaling quantum linear-systems solver via discrete adiabatic theorem,

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.956378Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18191ebb-eb59-4574-9365-1ad58601b55a · outbound

This paper cites A shortcut to an optimal quantum linear system solver,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding A shortcut to an optimal quantum linear system solver,

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:23:47.197267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4aa5c698-e0bf-4d4d-8bf4-d99c1eb1ae74 · outbound

This paper cites Efficient quantum linear solver algorithm with detailed running costs,.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Efficient quantum linear solver algorithm with detailed running costs,

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-15T16:23:45.999749Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a695108-af07-46da-b553-fee97a5a9f06 · outbound

This paper cites Kato,Perturbation theory for linear operators.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Kato,Perturbation theory for linear operators

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:23:47.141275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d6778e5d-da57-4e27-b541-95bd4a564533 · outbound

This paper cites Available:https://doi.org/10.22331/q-2023-11-06-1167.

Quantum algorithms for general nonlinear dynamics based on the Carleman embedding Available:https://doi.org/10.22331/q-2023-11-06-1167

Reference 1167

Resolution: verified exact; doi, observed 2026-08-15T16:23:46.187637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

Observation 5b0132b5-aa98-4441-adda-bae41d82dd7c · inbound

Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation cites this paper.

Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 43

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T15:21:06.529356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ee1bbd17-7bd6-40c2-9162-dc2b72d46860 · inbound

Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation cites this paper.

Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 43

Resolution: metadata mismatch; arxiv_id, observed 2026-05-12T05:26:24.628341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5b8cfe0d-4e47-483f-a3b0-e621b1cb1de4 · inbound

Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation cites this paper.

Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 51

Resolution: verified exact; arxiv_id, observed 2026-05-21T00:33:52.700043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 653f4ca9-c2a1-48a6-867f-b5525f2c78b0 · inbound

Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation cites this paper.

Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 53

Resolution: verified exact; arxiv_id, observed 2026-07-01T08:35:33.739362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f6078f36-7fae-4a53-abfc-ea3d0ed02b1e · inbound

Nonlinear semigroups with unbounded generators under Carleman linearization cites this paper.

Nonlinear semigroups with unbounded generators under Carleman linearization Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 7

Resolution: metadata mismatch; arxiv_id, observed 2026-05-12T10:46:31.088830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 241ebde1-9fa0-4c6f-b71a-57dcf112165d · inbound

Quantum Koopman Algorithms cites this paper.

Quantum Koopman Algorithms Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 41

Resolution: verified exact; arxiv_id, observed 2026-05-20T10:28:11.920164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation df442035-6ebb-4d83-86d4-c46197bd0268 · inbound

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

Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 28

Resolution: metadata mismatch; arxiv_id, observed 2026-05-20T05:18:03.220706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions cites this paper.

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

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T03:46:32.264982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 00d61b65-4fed-4ade-83e8-2d04194e0556 · inbound

Quantum algorithms for stochastic nonlinear differential equations cites this paper.

Quantum algorithms for stochastic nonlinear differential equations Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 50

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T22:07:25.883871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3fb984a3-abed-4ce6-ac4e-3515b93a162b · inbound

Fixing Divergence in Carleman Linearization via Analytical Continuation cites this paper.

Fixing Divergence in Carleman Linearization via Analytical Continuation Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 25

Resolution: metadata mismatch; local_arxiv, observed 2026-07-08T22:15:39.323484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 07cfe3fe-13e3-40ad-b8c0-f94c22755cf7 · inbound

Fixing Divergence in Carleman Linearization via Analytical Continuation cites this paper.

Fixing Divergence in Carleman Linearization via Analytical Continuation Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T08:28:14.172270Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f593e905-305e-4bf5-9a5b-a19e29cf4fcc · inbound

Quantum simulation of real-world nonlinear dynamics via Koopman method cites this paper.

Quantum simulation of real-world nonlinear dynamics via Koopman method Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-07-10T19:27:32.392361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation dede1c90-ff48-4de9-b689-28859270c2cd · inbound

A Scalable Approach to Solve the Carleman Linearized Burgers' Equation on a Quantum Computer cites this paper.

A Scalable Approach to Solve the Carleman Linearized Burgers' Equation on a Quantum Computer Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 57

Resolution: unresolved; no resolver link, observed 2026-07-13T01:18:30.124893Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00cc5427-5786-4601-adab-0732f52bdab5 · inbound

A Quantum Path to Partial Differential Equations cites this paper.

A Quantum Path to Partial Differential Equations Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 41

Resolution: unresolved; no resolver link, observed 2026-07-13T01:33:49.132446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 745c524b-8aba-429e-8222-532b16a98922 · inbound

Improved Convergence of Carleman-Embedded Quantum Algorithm for the Vlasov-Poisson System cites this paper.

Improved Convergence of Carleman-Embedded Quantum Algorithm for the Vlasov-Poisson System Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-31T07:47:18.758011Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18645922-4f2b-42dc-a2d1-9d010cbb5e32 · inbound

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation cites this paper.

Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T14:45:37.338636Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 92ea128f-e4c9-4d18-8307-3face4953bb0 · inbound

From Nonlinear Stochastic Differential Equations to Quantum Channels: The Kolmogorov--Lindblad Mapping cites this paper.

From Nonlinear Stochastic Differential Equations to Quantum Channels: The Kolmogorov--Lindblad Mapping Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-11T04:48:39.784340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76037549-7e28-4c45-90fe-5707cba5d700 · inbound

Quantum simulation of non-Markovian dynamical systems cites this paper.

Quantum simulation of non-Markovian dynamical systems Quantum algorithms for general nonlinear dynamics based on the Carleman embedding

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-14T05:00:21.270296Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.