Paper Citation Record · LEDGER

Quantum-Enhanced Spectral Solution of the Poisson Equation

As of 9 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2506.07743.

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

pith.paper-citation-record.v1
2506.07743 v1

Coverage vector

measured 29 of 29 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-07T05:32:28.339418Z

measured 29 of 29 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

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Reference resolution

29 of 29 outbound references displayed

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Outbound references

Observation 1bb66110-40bb-4322-9d3f-f203eb3665ff · outbound

This paper cites What is the fast fourier transform? Proceedings of the IEEE, 55 0 (10): 0 1664--1674, 1967.

Quantum-Enhanced Spectral Solution of the Poisson Equation What is the fast fourier transform? Proceedings of the IEEE, 55 0 (10): 0 1664--1674, 1967

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:32:28.790761Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation eaf5956e-92f4-4b0e-bc80-cdd50705bbe5 · outbound

This paper cites Practical quantum advantage in quantum simulation.

Quantum-Enhanced Spectral Solution of the Poisson Equation Practical quantum advantage in quantum simulation

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:32:28.781386Z

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Observation 6f5f7efc-2655-4ab2-9d07-b8f3d34c8224 · outbound

This paper cites Methods of numerical integration.

Quantum-Enhanced Spectral Solution of the Poisson Equation Methods of numerical integration

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:32:28.772005Z

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Observation f871cf3c-6cd8-4dc1-aca8-f85e33478cf7 · outbound

This paper cites Hybrid quantum-classical algorithms and quantum error mitigation.

Quantum-Enhanced Spectral Solution of the Poisson Equation Hybrid quantum-classical algorithms and quantum error mitigation

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:32:28.761663Z

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Observation 2f827bef-5b41-430d-9d6a-11263b7acffe · outbound

This paper cites an unresolved cited work.

Quantum-Enhanced Spectral Solution of the Poisson Equation Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:32:28.752331Z

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Observation 50b4837a-5cda-4365-a2e6-2a40bc9fcb43 · outbound

This paper cites Quantum computer simulations at warp speed: Assessing the impact of gpu acceleration: A case study with ibm qiskit aer, nvidia thrust & cuquantum.

Quantum-Enhanced Spectral Solution of the Poisson Equation Quantum computer simulations at warp speed: Assessing the impact of gpu acceleration: A case study with ibm qiskit aer, nvidia thrust & cuquantum

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:32:28.743244Z

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Observation 0b31a101-0f4e-403b-a8e0-0deaca688735 · outbound

This paper cites Fft-based high order central difference schemes for three-dimensional poisson's equation with various types of boundary conditions.

Quantum-Enhanced Spectral Solution of the Poisson Equation Fft-based high order central difference schemes for three-dimensional poisson's equation with various types of boundary conditions

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:32:28.733818Z

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Observation 8f785c49-a0f5-4fe7-a986-4f6e6f5b8735 · outbound

This paper cites Statistical methods.

Quantum-Enhanced Spectral Solution of the Poisson Equation Statistical methods

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:32:28.724784Z

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Observation 066787ea-6b27-4129-a94e-774df0fb1e9f · outbound

This paper cites Numerical analysis.

Quantum-Enhanced Spectral Solution of the Poisson Equation Numerical analysis

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T05:32:28.283372Z

Source-reported events for the cited work

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Observation 5a55d648-07c3-464d-a1f9-21575af17ef0 · outbound

This paper cites Numerical analysis of spectral methods: theory and applications.

Quantum-Enhanced Spectral Solution of the Poisson Equation Numerical analysis of spectral methods: theory and applications

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T05:32:28.286233Z

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Observation 9049711b-629f-4496-b03b-ef95c6e25810 · outbound

This paper cites Quantum computing with Qiskit.

Quantum-Enhanced Spectral Solution of the Poisson Equation Quantum computing with Qiskit

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T05:32:28.289064Z

Source-reported events for the cited work

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Observation 213c7f6e-d5a8-4b18-b2b5-a773991b5193 · outbound

This paper cites A new method based on the laplace transform and fourier series for solving linear neutral delay differential equations.

Quantum-Enhanced Spectral Solution of the Poisson Equation A new method based on the laplace transform and fourier series for solving linear neutral delay differential equations

Reference 12

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T05:32:28.561893Z

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Observation d336ebc6-67ce-4ad4-90b0-f40f459ee0ee · outbound

This paper cites Classical and quantum computation.

Quantum-Enhanced Spectral Solution of the Poisson Equation Classical and quantum computation

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:32:28.704307Z

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Observation c92a42d0-b79d-42b0-bd50-dbdcfd94bfae · outbound

This paper cites Computational integration.

Quantum-Enhanced Spectral Solution of the Poisson Equation Computational integration

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:32:28.695704Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7e76bd24-9521-43ad-aa41-41731ce9101c · outbound

This paper cites Hybrid quantum computing.

Quantum-Enhanced Spectral Solution of the Poisson Equation Hybrid quantum computing

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:32:28.687057Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1da6fdf0-55b4-4608-a7b0-40a2f7ad6e64 · outbound

This paper cites an unresolved cited work.

Quantum-Enhanced Spectral Solution of the Poisson Equation Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T05:32:28.303690Z

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Observation 94b563a6-b7ad-4aa9-9785-6e3fdbeaae20 · outbound

This paper cites Laplacian spectral basis functions.

Quantum-Enhanced Spectral Solution of the Poisson Equation Laplacian spectral basis functions

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:32:28.678065Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c0376ec5-659f-462d-b47b-2423c93c1d15 · outbound

This paper cites Numerical solution for two dimensional laplace equation with dirichlet boundary conditions.

Quantum-Enhanced Spectral Solution of the Poisson Equation Numerical solution for two dimensional laplace equation with dirichlet boundary conditions

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:32:28.668900Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 830792d8-9ee2-453d-8028-c67d7c774843 · outbound

This paper cites Quadpack: a subroutine package for automatic integration, volume 1.

Quantum-Enhanced Spectral Solution of the Poisson Equation Quadpack: a subroutine package for automatic integration, volume 1

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:32:28.659525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c14fa790-d3a6-47a6-8181-aedad97f4bc1 · outbound

This paper cites Fourier spectral embedded boundary solution of the poisson’s and laplace equations with dirichlet boundary conditions.

Quantum-Enhanced Spectral Solution of the Poisson Equation Fourier spectral embedded boundary solution of the poisson’s and laplace equations with dirichlet boundary conditions

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:32:28.650566Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5078bbbd-7dd1-415b-940b-b30a233b394d · outbound

This paper cites Mathematics of quantum computing, volume 11.

Quantum-Enhanced Spectral Solution of the Poisson Equation Mathematics of quantum computing, volume 11

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:32:28.641290Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1e12b931-7eb7-4771-afd4-c480610380e1 · outbound

This paper cites Spectral methods: algorithms, analysis and applications.

Quantum-Enhanced Spectral Solution of the Poisson Equation Spectral methods: algorithms, analysis and applications

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:32:28.631560Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2a28a614-341a-4c9c-99e3-eb462467f16b · outbound

This paper cites The numerical solution of laplace's equation.

Quantum-Enhanced Spectral Solution of the Poisson Equation The numerical solution of laplace's equation

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:32:28.621537Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e06ddc94-4bd6-4253-976b-aa01e128cf2f · outbound

This paper cites Quantum computing.

Quantum-Enhanced Spectral Solution of the Poisson Equation Quantum computing

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:32:28.612101Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d7a5d829-0d35-44d8-bf5b-39e485d3f8b7 · outbound

This paper cites an unresolved cited work.

Quantum-Enhanced Spectral Solution of the Poisson Equation Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:32:28.603233Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3334f08e-44d2-4ecd-8c00-6b2575fc174e · outbound

This paper cites From finite differences to finite elements a short history of numerical analysis of partial differential equations.

Quantum-Enhanced Spectral Solution of the Poisson Equation From finite differences to finite elements a short history of numerical analysis of partial differential equations

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:32:28.593544Z

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Observation b290b0bb-c893-4079-bcfa-35cc418edfa6 · outbound

This paper cites an unresolved cited work.

Quantum-Enhanced Spectral Solution of the Poisson Equation Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T05:32:28.333599Z

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Unavailable: canonical work link unavailable.

Observation 8e88267d-42f6-47d3-a864-dc23a341ef32 · outbound

This paper cites The heat equation, volume 67.

Quantum-Enhanced Spectral Solution of the Poisson Equation The heat equation, volume 67

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:32:28.583225Z

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Observation 11de6ca7-4ed1-4856-b6f8-3f3a3c5c9b50 · outbound

This paper cites Williams.

Quantum-Enhanced Spectral Solution of the Poisson Equation Williams

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T05:32:28.339418Z

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