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Paper Citation Record · LEDGER

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics

As of 7 August 2026, this Paper Citation Record lists 85 of 85 outbound references and 6 inbound Pith citation observations for arXiv:2601.15523.

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

pith.paper-citation-record.v1
2601.15523 v2

Coverage vector

measured 85 of 85 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-03T08:58:39.325330Z

measured 91 of 91 standing notices

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measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-31T04:13:13.453597Z

measured 0 of 1 external citation measurements

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Source: pith, observed 2026-07-09T12:36:13.872741Z

Reference resolution

85 of 85 outbound references displayed

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Outbound references

Observation acf2f046-c71d-444e-b642-720d72f9bd31 · outbound

This paper cites We remark that weaker conditions can also be used to obtain exponential convergence.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics We remark that weaker conditions can also be used to obtain exponential convergence

Reference 1

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Observation 1af61f3b-cf7a-4bd4-aa05-9f969a080200 · outbound

This paper cites an unresolved cited work.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Unresolved cited work

Reference 2

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Observation c7f0bb2f-732a-4778-8690-6226d60d7f57 · outbound

This paper cites This is described by the following relationship e−t|x| = 1 π Z ∞ −∞ dk eitk|x| 1 +k 2 ,(D10) which is a Cauchy distribution over the Fourier modes.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics This is described by the following relationship e−t|x| = 1 π Z ∞ −∞ dk eitk|x| 1 +k 2 ,(D10) which is a Cauchy distribution over the Fourier modes

Reference 3

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Observation aec7b1be-2d1d-42cb-84b7-f7084e322c8f · outbound

This paper cites Lemma 17(Bound on simulation error and polynomial degree).LetAbe provided as a block encoding with subnor- malization factorαand letKandMbe as in Lemmas 14 and 15 respectively.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Lemma 17(Bound on simulation error and polynomial degree).LetAbe provided as a block encoding with subnor- malization factorαand letKandMbe as in Lemmas 14 and 15 respectively

Reference 4

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Observation 8b237fef-bc97-4765-a07e-8608ad4c383e · outbound

This paper cites FlowKac: An Efficient Neural Fokker-Planck solver using Temporal Normalizing Flows and the Feynman-Kac Formula.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics FlowKac: An Efficient Neural Fokker-Planck solver using Temporal Normalizing Flows and the Feynman-Kac Formula

Reference 24

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Observation 98422a89-5fd3-4117-af34-9fb26e3ae201 · outbound

This paper cites On minimal and maximal eigenvalue gaps and their causes.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics On minimal and maximal eigenvalue gaps and their causes

Reference 25

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Observation 2825aee7-a7a8-4ccd-b39d-4e208b71aca6 · outbound

This paper cites An Introduction to the Conjugate Gradient Method Without the Agonizing Pain.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics An Introduction to the Conjugate Gradient Method Without the Agonizing Pain

Reference 26

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Observation 4da85646-eb39-4c43-908d-8effc21bf6a2 · outbound

This paper cites Tight quantum depth lower bound for solving systems of linear equations.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Tight quantum depth lower bound for solving systems of linear equations

Reference 27

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Observation ac8693b1-db06-49d6-92cc-de5e5536cbc4 · outbound

This paper cites On solving classes of positive-definite quantum linear systems with quadratically improved runtime in the condition number.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics On solving classes of positive-definite quantum linear systems with quadratically improved runtime in the condition number

Reference 28

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Observation fe5ae18a-45c7-4ced-9a9b-5f77aa54c0f0 · outbound

This paper cites Matlab 23.2.0.2380103 (r2023b), 2023.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Matlab 23.2.0.2380103 (r2023b), 2023

Reference 29

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Observation 7fcd1680-73d1-442a-bfb5-1bae35c2901a · outbound

This paper cites Frontier supercomputer hits new highs in third year of exascale.https://www.ornl.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Frontier supercomputer hits new highs in third year of exascale.https://www.ornl

Reference 30

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Observation 421b7fe8-6c61-4410-ac73-98b93c36e8bc · outbound

This paper cites Childs and Robin Kothari.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Childs and Robin Kothari

Reference 31

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Observation 8a916f34-f6d0-42b5-92d5-2335262eb157 · outbound

This paper cites an unresolved cited work.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Unresolved cited work

Reference 32

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Observation abc87f9a-eced-44f0-b85f-2cce95112491 · outbound

This paper cites Jones, and Vladan Stevanovi´ c.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Jones, and Vladan Stevanovi´ c

Reference 33

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Observation e561918a-d0b0-4c33-983b-cacaf9710711 · outbound

This paper cites The metastable states of proteins.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics The metastable states of proteins

Reference 34

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Observation 9c21ed60-c0be-4790-a70a-7e75be31cdbe · outbound

This paper cites Chong, Ali S.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Chong, Ali S

Reference 35

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Observation 7abc61b3-6ce3-4ea0-9cff-d75181fa952b · outbound

This paper cites Dinner and Martin Karplus.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Dinner and Martin Karplus

Reference 36

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Observation 6c41ada9-e7c0-4462-beb6-435f76d06250 · outbound

This paper cites Metastability: A Potential-Theoretic Approach, volume 351 of Grundlehren der mathematischen Wissenschaften.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Metastability: A Potential-Theoretic Approach, volume 351 of Grundlehren der mathematischen Wissenschaften

Reference 37

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Observation 526bac0c-3fcf-4f31-b557-8b25fe232ea8 · outbound

This paper cites Nevins and F.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Nevins and F

Reference 38

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Observation b457a22f-c13e-482a-802a-e96bdf716785 · outbound

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Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Unresolved cited work

Reference 39

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Observation 70ce933f-ed23-4164-bd35-17eda4059ad4 · outbound

This paper cites Correlations in Space and Time and Born Approximation Scattering in Systems of Interacting Particles.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Correlations in Space and Time and Born Approximation Scattering in Systems of Interacting Particles

Reference 40

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Observation 0fd3ec3b-106b-4da0-aad3-951e5f3f0678 · outbound

This paper cites Hansen and I.R.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Hansen and I.R

Reference 41

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Observation 350c492b-fb6d-4854-9ac3-cc80e2b357a0 · outbound

This paper cites Statistical-Mechanical Theory of Irreversible Processes.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Statistical-Mechanical Theory of Irreversible Processes

Reference 42

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Observation babb04fb-4e0b-4f36-b87d-e3d19d957761 · outbound

This paper cites Linear combination of Hamiltonian simulation for non-unitary dynamics with optimal state preparation cost, March 2023.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Linear combination of Hamiltonian simulation for non-unitary dynamics with optimal state preparation cost, March 2023

Reference 43

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Observation bf2e3517-1750-467a-8f67-8b9bb687791f · outbound

This paper cites Childs, and Lin Lin.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Childs, and Lin Lin

Reference 44

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Observation 8be7288b-9547-4ea4-a7ea-4ad619ca6d82 · outbound

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Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Unresolved cited work

Reference 45

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Observation 7f53649a-7b13-4176-892a-febfe69d5ce4 · outbound

This paper cites Quantum Differential Equation Solvers: Limitations and Fast- Forwarding.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Quantum Differential Equation Solvers: Limitations and Fast- Forwarding

Reference 46

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Observation 803b7209-0dbb-47b5-a549-8f53ccee4e35 · outbound

This paper cites Sharp convergence rates for Langevin dynamics in the nonconvex setting.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Sharp convergence rates for Langevin dynamics in the nonconvex setting

Reference 47

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Observation e6f6acda-abc7-46c1-835c-3e39c15795b8 · outbound

This paper cites an unresolved cited work.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Unresolved cited work

Reference 48

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Observation 1f588a81-4ff2-43cf-bd1a-ed98b9833c3f · outbound

This paper cites Fast-forwarding quantum algorithms for linear dissipative differential equations, October 2024.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Fast-forwarding quantum algorithms for linear dissipative differential equations, October 2024

Reference 49

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Observation 2544841d-c56c-407c-9c9b-5ffa0c7bb58d · outbound

This paper cites Time-marching based quantum solvers for time-dependent linear differential equa- tions.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Time-marching based quantum solvers for time-dependent linear differential equa- tions

Reference 50

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Observation 1df160cb-9070-46e8-ade6-042dc199c21d · outbound

This paper cites Quantum simulation of partial differential equations via Schrodingerisation, December 2022.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Quantum simulation of partial differential equations via Schrodingerisation, December 2022

Reference 51

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Observation cd981640-b53a-47cb-b17c-685527e72d3d · outbound

This paper cites Quantum Algorithm for Simulating the Wave Equation.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Quantum Algorithm for Simulating the Wave Equation

Reference 52

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Observation e3cf9f2b-314b-479a-b5b4-d4cf55b4a85d · outbound

This paper cites Dyson Maps and Unitary Evolution for Maxwell Equations in Tensor Dielectric Media.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Dyson Maps and Unitary Evolution for Maxwell Equations in Tensor Dielectric Media

Reference 53

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Observation ae0f1e7f-0037-4bba-a471-dbaa73458b81 · outbound

This paper cites Ollitrault, Alexander Miessen, and Ivano Tavernelli.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Ollitrault, Alexander Miessen, and Ivano Tavernelli

Reference 54

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source=pdf_text observed=2026-08-03T08:58:33.140925Z digest=sha256:fdd566d9ce30b1a16c591cc740f2e7a69af9509f328ef536439341b48bb23f3f

Observation a103a151-4601-4a47-b7e5-2f92650c5186 · outbound

This paper cites Quantum simulation of the Fokker-Planck equation via Schrodingerization, April 2024.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Quantum simulation of the Fokker-Planck equation via Schrodingerization, April 2024

Reference 55

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source=pdf_text observed=2026-08-03T08:58:33.228690Z digest=sha256:e133cd831737d2fceabcef10f21edb8388b7867b19ea52150733099c5607b386

Observation d2138e3c-4f20-4005-88db-0f750ac5d919 · outbound

This paper cites Berry, Robin Kothari, Rolando D.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Berry, Robin Kothari, Rolando D

Reference 56

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source=pdf_text observed=2026-08-03T08:58:33.319873Z digest=sha256:adda4fbe916746b57c7d1d3d239ae50bee4076b70a9c5a336ed1212ce3441a61

Observation 8b1ae3ac-e341-429a-93bd-976fd7c528ed · outbound

This paper cites Krovi, Nuno F.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Krovi, Nuno F

Reference 57

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source=pdf_text observed=2026-08-03T08:58:33.422230Z digest=sha256:b318c1cc21be299973352246b2f51a605efe515d3675a5cd08369ea6a310eafe

Observation f425c19e-6201-459f-b78b-4c0d8de8da74 · outbound

This paper cites Quantum algorithms for computing observables of nonlinear partial differential equations.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Quantum algorithms for computing observables of nonlinear partial differential equations

Reference 58

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source=pdf_text observed=2026-08-03T08:58:33.518626Z digest=sha256:f9ee2b353253b4b224445787cd1497e7e1b5056f7d1f3202dedc8d2ee1202296

Observation a8125fa2-40a1-4d12-ab71-cf9a2d761fc3 · outbound

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

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Efficient quantum algorithm for nonlinear reaction-diffusion equations and energy estimation

Reference 59

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source=pdf_text observed=2026-08-03T08:58:33.697136Z digest=sha256:53cb0809ed5dcb369c3a579fcf4026e857a7a5694751d0aa22d915a9055ac083

Observation 72e71e6a-dac3-4544-b5f0-3db903868f5c · outbound

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

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Further improving quantum algorithms for nonlinear differential equations via higher-order methods and rescaling

Reference 60

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source=pdf_text observed=2026-08-03T08:58:33.749914Z digest=sha256:954643e9735ae6426d0e4853dc2b70efef868f62e4ff75a0e897cf312ab7fb9d

Observation 4c214ea2-253a-4460-8d3a-ceb546eedae5 · outbound

This paper cites The cost of solving linear differential equations on a quantum computer: fast-forwarding to explicit resource counts.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics The cost of solving linear differential equations on a quantum computer: fast-forwarding to explicit resource counts

Reference 62

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source=pdf_text observed=2026-08-03T08:58:34.064494Z digest=sha256:fec2bd1ead2119ef685c2e2198862b00eae4e296072d6cddfe20761ad6722780

Observation 624b4ecc-d5a1-49ea-99fd-2e379f3ba6e6 · outbound

This paper cites an unresolved cited work.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Unresolved cited work

Reference 63

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source=pdf_text observed=2026-08-03T08:58:34.186204Z digest=sha256:a59d793cdc2913c634cdd103db7202835f09a663c54d77d74dd0a14c82d03bd1

Observation 068f222f-cc02-47b7-82a2-63d803804ec0 · outbound

This paper cites Quantum algorithms from fluctuation theorems: Thermal-state preparation.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Quantum algorithms from fluctuation theorems: Thermal-state preparation

Reference 64

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source=pdf_text observed=2026-08-03T08:58:34.257978Z digest=sha256:a610da80548e6269cbe916d82e6a2a369a7835537b5f2db378f6acd84fb4176a

Observation c9841718-bb0d-4159-9232-fbbe81776009 · outbound

This paper cites Operator-Level Quantum Acceleration of Non-Logconcave Sampling, May 2025.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Operator-Level Quantum Acceleration of Non-Logconcave Sampling, May 2025

Reference 65

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source=pdf_text observed=2026-08-03T08:58:34.410723Z digest=sha256:9cadefa778c173eb2e941674e64f829f23a0a9802fb594fcbbb34ff697f419e4

Observation fc915190-7511-41e4-8fdd-f70135785421 · outbound

This paper cites Supersymmetry and Morse theory.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Supersymmetry and Morse theory

Reference 66

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source=pdf_text observed=2026-08-03T08:58:34.558480Z digest=sha256:0095ea4e60de1b29e3e25232d2b1aefcc2e2b5b7ece3fc9491962b29c05eb7d7

Observation 814d24e7-f0c0-49ca-bc44-9d26cefc0d96 · outbound

This paper cites Committor functions via tensor networks.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Committor functions via tensor networks

Reference 67

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source=pdf_text observed=2026-08-03T08:58:34.682103Z digest=sha256:902ab35fbae55fd2e309713eb37f376345cb30e57608490a34c76ab38abfff4b

Observation 40b7b48d-2832-4b63-9944-5525ba6b1bfb · outbound

This paper cites Solving for high-dimensional committor functions using artificial neural networks.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Solving for high-dimensional committor functions using artificial neural networks

Reference 68

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source=pdf_text observed=2026-08-03T08:58:34.728731Z digest=sha256:575eaf99a2862ded82326d91d8aa9a171aa656ef8e606139bdd07923b123c99c

Observation 5e7db9dc-ee3e-4777-bd6e-9828b62b59cb · outbound

This paper cites Estimating committor functions via deep adaptive sampling on rare transition paths.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Estimating committor functions via deep adaptive sampling on rare transition paths

Reference 69

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source=pdf_text observed=2026-08-03T08:58:34.833292Z digest=sha256:2c69ca5e55d50dc8548882b6234ec1d7361bd20bd9c1bc6d149da137afa7c4b5

Observation a869ca42-48a6-42da-bec3-e176a9e9487f · outbound

This paper cites A semigroup method for high dimensional committor functions based on neural network.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics A semigroup method for high dimensional committor functions based on neural network

Reference 70

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source=pdf_text observed=2026-08-03T08:58:35.084022Z digest=sha256:0ece628cea7fe48480498a49f166651eafb3586c72d4d5440d0c7f67c99c3411

Observation fe3ad57d-d5d2-40d2-a149-4259ad7b6971 · outbound

This paper cites Point Cloud Discretization of Fokker–Planck Operators for Committor Functions.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Point Cloud Discretization of Fokker–Planck Operators for Committor Functions

Reference 71

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verified exact
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source=pdf_text observed=2026-08-03T08:58:35.215227Z digest=sha256:125479c76e71c046b61f932a2605d95e9a54cfce45b4fdec6c6b2ac36b3f401f

Observation 7c4cf04d-aa3b-48b8-b451-8d604810f199 · outbound

This paper cites Solving high-dimensional Fokker-Planck equation with functional hierarchical tensor.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Solving high-dimensional Fokker-Planck equation with functional hierarchical tensor

Reference 72

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source=pdf_text observed=2026-08-03T08:58:35.352522Z digest=sha256:d8cb54941663b5639f97eaaeff34c215823bf1f5b401e0763ff0ffba590a9303

Observation 5c927093-a182-4223-8d63-6ef90d321b58 · outbound

This paper cites A short course on fast multipole methods, 2021.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics A short course on fast multipole methods, 2021

Reference 73

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source=pdf_text observed=2026-08-03T08:58:35.382037Z digest=sha256:4e76974b18518cb9a8039dd901f7141ae076056126659f83a37d39e6a57232f0

Observation c1a4b1f4-0811-4c86-89d0-3b0deee03894 · outbound

This paper cites Sampling Can Be Faster Than Optimization.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Sampling Can Be Faster Than Optimization

Reference 74

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source=pdf_text observed=2026-08-03T08:58:35.437650Z digest=sha256:f71a40438dbd4ff284da83a85dbf5490fd89dce2df8da6fbefb8bcee6aaa7574

Observation 0fed9d8b-782a-487f-a99d-ffc92fb7fae6 · outbound

This paper cites an unresolved cited work.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Unresolved cited work

Reference 75

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source=pdf_text observed=2026-08-03T08:58:35.488616Z digest=sha256:238a0f96c78f79c137a95e2252afced5ea035479e1d7f0b4a227c439cf0cd50b

Observation 752e3cde-8edb-4a5f-b193-1000e2c6281d · outbound

This paper cites Leimkuhler, C.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Leimkuhler, C

Reference 76

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source=pdf_text observed=2026-08-03T08:58:35.577806Z digest=sha256:594d481635d196f7f079aa11d7e275f0a10d6db446a064be422ea5fa67276536

Observation a90e0d13-3c62-400e-b608-8f66d5a2ee0e · outbound

This paper cites Johnson, Amara Katabarwa, and Nathan Wiebe.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Johnson, Amara Katabarwa, and Nathan Wiebe

Reference 77

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source=pdf_text observed=2026-08-03T08:58:35.740515Z digest=sha256:204c7212ba90ce9e111dd9c89654752e734bee5822bbc37541d29786b3173777

Observation 5c1bf00b-9d06-48db-bdab-121704d4425e · outbound

This paper cites McClean, Michael Newman, Craig Gidney, Sergio Boixo, and Hartmut Neven.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics McClean, Michael Newman, Craig Gidney, Sergio Boixo, and Hartmut Neven

Reference 78

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source=pdf_text observed=2026-08-03T08:58:35.833012Z digest=sha256:59a7b26a3e44f00e539ad0c847f7f70eed34b10e5e7f8469fd0925de28abbec4

Observation abfc26ca-8c82-4de2-8ed6-c356147ca98b · outbound

This paper cites Amplified Amplitude Estimation: Exploiting Prior Knowledge to Improve Estimates of Expectation Values.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Amplified Amplitude Estimation: Exploiting Prior Knowledge to Improve Estimates of Expectation Values

Reference 79

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source=pdf_text observed=2026-08-03T08:58:36.004738Z digest=sha256:fe91afecc6386ed18674d65fba5660fda460c44959cc947ad1f4e539563b98dc

Observation fb234722-7d76-49a9-bbcd-a1025a712144 · outbound

This paper cites Efficient Quantum Algorithms for Simulating Lindblad Evolution, January 2019.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Efficient Quantum Algorithms for Simulating Lindblad Evolution, January 2019

Reference 80

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source=pdf_text observed=2026-08-03T08:58:36.140996Z digest=sha256:a057c9a7e9e8a1e25e3ce58d44c678f3791d6e4ac9e77d34f7c3500c348262ed

Observation fee89682-bc27-4462-9188-ac54d333977c · outbound

This paper cites Simulating Open Quantum Systems Using Hamiltonian Simulations, November 2023.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Simulating Open Quantum Systems Using Hamiltonian Simulations, November 2023

Reference 81

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source=pdf_text observed=2026-08-03T08:58:36.292142Z digest=sha256:94b33f48eace3323a38af9fbd2525ba351672d0986cd09c6b24b1f84368bacd2

Observation d45d6f37-fc6b-441a-9dd3-4566aa53bc3f · outbound

This paper cites Mixing Time of Open Quantum Systems via Hypocoercivity, April 2024.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Mixing Time of Open Quantum Systems via Hypocoercivity, April 2024

Reference 82

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source=pdf_text observed=2026-08-03T08:58:36.396447Z digest=sha256:220b52bff9be012a576e485deb122ca94c14d91b229ee667d27716fea911d680

Observation 5f1e9e01-f23a-4012-96e7-16a438b32f21 · outbound

This paper cites Single-ancilla ground state preparation via Lindbladians, August 2023.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Single-ancilla ground state preparation via Lindbladians, August 2023

Reference 83

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source=pdf_text observed=2026-08-03T08:58:36.499443Z digest=sha256:8eaa21594fb49415856b502ffb5e0696dbdcf533ea1a34e3206b17c821031462

Observation 3bfbbfef-c35d-4cff-aab8-c056fcf74cd6 · outbound

This paper cites Optimal zeno dragging for quantum control: a shortcut to zeno with action-based scheduling optimization.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Optimal zeno dragging for quantum control: a shortcut to zeno with action-based scheduling optimization

Reference 84

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source=pdf_text observed=2026-08-03T08:58:36.584502Z digest=sha256:dd7d7a496177c7bf828f50c8ac929e13bda43c78183f799d35700797a32d9d3f

Observation d8b7b50b-40dc-4ca1-964d-9e51ab9aaee0 · outbound

This paper cites Noise-canceling quantum feedback: non- hermitian dynamics with applications to state preparation and magic state distillation.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Noise-canceling quantum feedback: non- hermitian dynamics with applications to state preparation and magic state distillation

Reference 85

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source=pdf_text observed=2026-08-03T08:58:36.680636Z digest=sha256:57ec806e42f133e7f46d1e9babaed7ac2cfbe0990184a10988ae62c549576c39

Observation 7ed3f73c-de07-44c3-9c84-60ae89c412f4 · outbound

This paper cites Wadia, Ryan V.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Wadia, Ryan V

Reference 86

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verified exact
doi, observed 2026-08-03T09:04:03.613942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-03T08:58:36.737983Z digest=sha256:a90911e5660d7a8788754265d702828dcd4985cd397b8c03f943bae807ba3062

Observation 60b11987-b3fd-465e-b987-ebedfd26d3ed · outbound

This paper cites University of Cambridge Graduate Course on kinetic theory, 2025.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics University of Cambridge Graduate Course on kinetic theory, 2025

Reference 87

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source=pdf_text observed=2026-08-03T08:58:36.855914Z digest=sha256:923ae2301b851740f195dbfb215efe995d6a91ea35714de6e4e34c774c1e83e3

Observation 92489825-538f-45db-8dbf-0fea45ce6b17 · outbound

This paper cites Bakry and M.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Bakry and M

Reference 88

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source=pdf_text observed=2026-08-03T08:58:37.010428Z digest=sha256:83d5d4809028d44c83e14bf70db622d23c3a763d23521c7375b13179bc64c4d8

Observation 62bbe97b-9df5-417b-bf2f-ddb050e3a6a8 · outbound

This paper cites an unresolved cited work.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Unresolved cited work

Reference 89

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source=pdf_text observed=2026-08-03T08:58:37.127626Z digest=sha256:b35444ac7aa085c911dcb0caeb1dc53e75b4d66227dd184b1e9fb001240bfa4b

Observation f37087fe-5acb-420a-a157-2fa435b38759 · outbound

This paper cites Quantum singular value transformation and beyond: 26 Exponential improvements for quantum matrix arithmetics.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Quantum singular value transformation and beyond: 26 Exponential improvements for quantum matrix arithmetics

Reference 90

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source=pdf_text observed=2026-08-03T08:58:37.223790Z digest=sha256:27517fc5e4cdabf2b2fc526a6c89e1ae588b53e9e7c250b24cac7babf0d490d9

Observation 9aab97e0-78d5-47d1-ac6a-cb4d08da8a70 · outbound

This paper cites Generalized Quantum Signal Processing, August 2023.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Generalized Quantum Signal Processing, August 2023

Reference 91

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source=pdf_text observed=2026-08-03T08:58:37.365219Z digest=sha256:9dfda42a33fe732ae099fcd709ba3497f189cb7dc667ca70e6f9da06eaffd19f

Observation ae939833-ab50-4e9c-a997-965090f886b6 · outbound

This paper cites Lecture Notes on Quantum Algorithms for Scientific Computation.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Lecture Notes on Quantum Algorithms for Scientific Computation

Reference 92

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source=pdf_text observed=2026-08-03T08:58:37.435530Z digest=sha256:bf7d0adeb420a19dc4375a1fb19f3f4e08f69675ee6ec46ae025d05c62e47d8e

Observation 2d324c77-9f0c-449c-bad7-937e9f9e79dd · outbound

This paper cites Efficient phase-factor evaluation in quantum signal processing.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Efficient phase-factor evaluation in quantum signal processing

Reference 93

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source=pdf_text observed=2026-08-03T08:58:37.573321Z digest=sha256:be02518ebd738ea74186bcb38225359af8e1c997e3a2150c7b74c440c3d5d416

Observation a6e55fe6-e04d-41ea-9345-a04e3233a825 · outbound

This paper cites Stable factorization for phase factors of quantum signal processing.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Stable factorization for phase factors of quantum signal processing

Reference 94

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source=pdf_text observed=2026-08-03T08:58:37.756445Z digest=sha256:d6130f7780e9653052f2a5e58b02bc419f2d212cfa286c7aae5f9fbd978b1dfe

Observation c80fab1b-3022-4c8b-ac82-f7b637511774 · outbound

This paper cites Trefethen.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Trefethen

Reference 95

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source=pdf_text observed=2026-08-03T08:58:37.844954Z digest=sha256:60eff9fceefb67c0ec5e8a028f49dcab7257ab6484088c74906e5349c27a5733

Observation f837a6ed-e899-4fbc-a8f9-8e33cc2cc144 · outbound

This paper cites Fault-Tolerant Quantum Simulations of Chemistry in First Quantization.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Fault-Tolerant Quantum Simulations of Chemistry in First Quantization

Reference 96

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source=pdf_text observed=2026-08-03T08:58:37.925049Z digest=sha256:b86f7553bb8d6917cc001cf18b0e1a0a5521c9becd0598d1a0302178a32c27c4

Observation 7c882a6b-15cc-483c-9266-8b565ea5cc27 · outbound

This paper cites Black-box quantum state preparation without arithmetic.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Black-box quantum state preparation without arithmetic

Reference 97

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source=pdf_text observed=2026-08-03T08:58:38.021137Z digest=sha256:9be7b204f1b68cf5f15c55d2cd9f3edb9f4761e2376158e7aafa22f89a02e2ab

Observation 68fa92d5-4c4b-4da3-bc93-840bb1663b6d · outbound

This paper cites We will exclusively use the linear combination of unitaries (LCU) approach to constructing block encodings, which we describe here.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics We will exclusively use the linear combination of unitaries (LCU) approach to constructing block encodings, which we describe here

Reference 98

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source=pdf_text observed=2026-08-03T08:58:38.219537Z digest=sha256:32a770f28e224149731bf6be792ba8efb7c97883e13ab3bfce2f122883be8399

Observation a7e32ba6-0de1-4773-a26c-c2d63cf163d7 · outbound

This paper cites Lemma 14(Truncation Error).For anyϵ >0there exists aK >2 √ tsuch that Z ∞ −∞ e−k2/4t 2 √ πt eikxdk− Z K −K e−k2/4t 2 √ πt eikxdk ≤ϵ, whereKcan be chosenO q tlog 1 ϵ.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Lemma 14(Truncation Error).For anyϵ >0there exists aK >2 √ tsuch that Z ∞ −∞ e−k2/4t 2 √ πt eikxdk− Z K −K e−k2/4t 2 √ πt eikxdk ≤ϵ, whereKcan be chosenO q tlog 1 ϵ

Reference 99

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source=pdf_text observed=2026-08-03T08:58:38.624192Z digest=sha256:aa50682b29936d7c414c6f0ee378aff124f81ab06bbbd084b1d26c79297302e5

Observation 23230b3b-137c-4116-b33e-f9a34d49fac8 · outbound

This paper cites This is characterized by the following lemma.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics This is characterized by the following lemma

Reference 100

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source=pdf_text observed=2026-08-03T08:58:38.741817Z digest=sha256:6121b9759c4baebd7a4b124cb2adac50c33d153e7ec751a9637642b1addc3e1d

Observation 2c81ed30-0433-48a6-811e-857170ae0da3 · outbound

This paper cites Lemma 16(Bound on subnormalization factor).The subnormalization factorα g resulting from applying the Gausssian-LCHS formula using Gauss quadrature satisfies αg ∈O(1).

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Lemma 16(Bound on subnormalization factor).The subnormalization factorα g resulting from applying the Gausssian-LCHS formula using Gauss quadrature satisfies αg ∈O(1)

Reference 101

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source=pdf_text observed=2026-08-03T08:58:38.800898Z digest=sha256:df50acb5eafe685c863f5d2accae60ceb31d2e97d3d425c1cf78d0d4270cc0a2

Observation e97428bf-f416-49a1-a2c2-cedfe5e6ffba · outbound

This paper cites For symmetric pair wise potentials,V ij =V(r ij), the gradients can be simply expressed, ∇iVij =V ′ (rij) xi −x j rij =−∇ jVij.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics For symmetric pair wise potentials,V ij =V(r ij), the gradients can be simply expressed, ∇iVij =V ′ (rij) xi −x j rij =−∇ jVij

Reference 102

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source=pdf_text observed=2026-08-03T08:58:39.053976Z digest=sha256:5efe0c512e75d9070951765687fc61e8e70fdafb61795873306881eea3cd6eb4

Observation 0b9c4a3e-a9c2-4feb-8918-52fe3c3bf532 · outbound

This paper cites Our goal now is to block encode the operation X i∈[dη] |i⟩ ⊗ ∇i (J6) wherek m = 2πm L.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Our goal now is to block encode the operation X i∈[dη] |i⟩ ⊗ ∇i (J6) wherek m = 2πm L

Reference 103

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source=pdf_text observed=2026-08-03T08:58:39.176453Z digest=sha256:206b323328486e1fd94e61be189a02e85c8926dcfe8cf2db43971ddd09746c66

Observation ea84bd10-6932-487e-87f7-c817f3eb7006 · outbound

This paper cites an unresolved cited work.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics Unresolved cited work

Reference 104

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source=pdf_text observed=2026-08-03T08:58:39.325330Z digest=sha256:5de35f7af6bcb1bc2afba48030be471aea7e5df45e329af56e2340d0a8c427b3

Observation 4ec70853-7585-47b4-b23e-691f4ed3cb0c · outbound

This paper cites URLhttps://www.sciencedirect.com/science/article/pii/S0021999125007211.

Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics URLhttps://www.sciencedirect.com/science/article/pii/S0021999125007211

Reference 9991

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source=pdf_text observed=2026-08-03T08:58:34.951189Z digest=sha256:5ac996771f6f6733911cbfd943766691c777bce04c68bc7c92dc9b7dd20ee8bb

Pith citing papers

Observation 6243dc00-02dd-4292-a2f1-a3f7b09b852f · inbound

Quantum Simulation of Non-Unitary Dynamics via Amplitude-Phase Separation cites this paper.

Quantum Simulation of Non-Unitary Dynamics via Amplitude-Phase Separation Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics

Reference 34

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arxiv_id, observed 2026-06-23T01:12:00.386301Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-21T13:50:59.338147Z digest=sha256:94145b29cbd57f010fe0674620be1ba4bb1b750195c5b725ca2f95304da577d7

Observation 2d7e0d6d-1375-442d-acfb-2c8088d4a72e · inbound

A Unified Poisson Summation Framework for Generalized Quantum Matrix Transformations cites this paper.

A Unified Poisson Summation Framework for Generalized Quantum Matrix Transformations Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics

Reference 51

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arxiv_id, observed 2026-06-23T01:12:00.386301Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-13T20:02:44.173976Z digest=sha256:2a862ed84254c1c00a7078347f0d332dd69b551b7b1828a4809de88c0d83751f

Observation f3cd767f-1bbc-4b0a-b9d7-db6ad98fea01 · inbound

Quantum Simulation of Differential-Algebraic Equations with Applications to Unsteady Stokes Flow cites this paper.

Quantum Simulation of Differential-Algebraic Equations with Applications to Unsteady Stokes Flow Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics

Reference 41

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arxiv_id, observed 2026-06-23T01:12:00.386301Z

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source=pdf_text observed=2026-05-20T23:55:48.032768Z digest=sha256:f124854534f408c14e3de83feaf135d32554dca799edc28ee1db48cfe695c607

Observation 7813658b-2586-45cc-85c3-4de112f109b5 · inbound

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation cites this paper.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics

Reference 14

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local_arxiv, observed 2026-07-09T12:36:13.874210Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-07-09T12:34:00.375655Z digest=sha256:77e3c9cc9bc5b5f7dc26d38e160db61524b82a40ba42d685d1ec194229709d10

Observation 756d1603-7f22-4af8-aef5-bcaeac865d23 · inbound

A Quantum Path to Partial Differential Equations cites this paper.

A Quantum Path to Partial Differential Equations Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics

Reference 52

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source=pdf_text observed=2026-07-13T01:33:49.132446Z digest=sha256:68538b9902f492b2a0828dba6c69eec5e72b68b615fb1c523992b16eacbe6ab4

Observation 02ad4b38-1c20-44dc-b1c3-52e95ba597f6 · inbound

A Provable Oracle-Free Quantum Algorithm for Nonlinear Dynamics on Hybrid Oscillator-Qubit Processors cites this paper.

A Provable Oracle-Free Quantum Algorithm for Nonlinear Dynamics on Hybrid Oscillator-Qubit Processors Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics

Reference 40

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source=arxiv_source observed=2026-07-31T04:13:13.453597Z digest=sha256:21b0695c30438541da3b743170f60988a314581ffc1e6cfeb193d3a58739b0fb