Paper Citation Record · LEDGER

Solving 1D Poisson problem with a Variational Quantum Linear Solver

As of 15 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:2412.04938.

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

pith.paper-citation-record.v1
2412.04938 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T21:16:18.656590Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T02:05:00.896318Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

37 of 37 outbound references displayed

verified exact5
verified fuzzy10
unresolved18
parse uncertain0
malformed identifier4
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6b4da1b6-6c3c-41c5-b3f7-599a21155338 · outbound

This paper cites Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer,.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer,

Reference 1

Resolution: verified exact; raw_fallback, observed 2026-08-11T21:16:19.008086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3e781e26-aa12-486b-9cbc-d2aec41aee60 · outbound

This paper cites A fast quantum mechanical algorithm for database search,.

Solving 1D Poisson problem with a Variational Quantum Linear Solver A fast quantum mechanical algorithm for database search,

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T21:16:18.518994Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19e9b59f-b40f-48f7-ab8e-6ba5d1149443 · outbound

This paper cites Quantum Computing in the NISQ era and beyond,.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Quantum Computing in the NISQ era and beyond,

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T21:16:18.522094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9f42790a-7dd1-4962-8bb7-55b7eaa38ab3 · outbound

This paper cites Quantum supremacy using a programmable super- conducting processor,.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Quantum supremacy using a programmable super- conducting processor,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:16:19.161371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e69d87b0-bbe0-4381-a78a-9548e37a09e3 · outbound

This paper cites The theory of variational hybrid quantum-classical algorithms,.

Solving 1D Poisson problem with a Variational Quantum Linear Solver The theory of variational hybrid quantum-classical algorithms,

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T21:16:18.533446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 185cb516-4621-4f9c-baee-0fd61b893071 · outbound

This paper cites A variational eigenvalue solver on a photonic quantum processor,.

Solving 1D Poisson problem with a Variational Quantum Linear Solver A variational eigenvalue solver on a photonic quantum processor,

Reference 6

Resolution: malformed identifier; raw_fallback, observed 2026-08-11T21:16:19.148632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 95326798-5416-4391-a166-14a97a574a3d · outbound

This paper cites Scalable quantum simulation of molecular energies,.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Scalable quantum simulation of molecular energies,

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-11T21:16:18.540973Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aea648d7-af7b-439f-bed5-6684d965a431 · outbound

This paper cites Variational quantum algorithms for discovering hamiltonian spectra,.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Variational quantum algorithms for discovering hamiltonian spectra,

Reference 8

Resolution: verified exact; doi, observed 2026-08-11T21:16:18.779665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation eee6c682-818c-4554-bebb-a1ba4b919567 · outbound

This paper cites Quantum machine learning in feature hilbert spaces,.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Quantum machine learning in feature hilbert spaces,

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T21:16:18.549651Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c8810c3-5b78-4736-9c1b-c20febce97ce · outbound

This paper cites Variational quantum circuits for deep reinforcement learning,.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Variational quantum circuits for deep reinforcement learning,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:16:19.136352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4d320a0d-a9e7-4530-a7ef-6c76e6161e3d · outbound

This paper cites Variational quantum generators: Generative adversarial quantum machine learning for continuous distributions,.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Variational quantum generators: Generative adversarial quantum machine learning for continuous distributions,

Reference 11

Resolution: malformed identifier; no resolver link, observed 2026-08-11T21:16:18.558498Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 368d17af-b487-403c-b64f-28c4a0882995 · outbound

This paper cites Near-term quantum algorithms for linear systems of equations.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Near-term quantum algorithms for linear systems of equations

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T21:16:18.562456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 150286c3-05d3-4dc7-96a3-0efe010cfa92 · outbound

This paper cites Variational algorithms for linear algebra.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Variational algorithms for linear algebra

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-11T21:16:18.848060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f0dea6a7-96ff-4576-9cfd-d543102e96a3 · outbound

This paper cites Variational Quantum Linear Solver.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Variational Quantum Linear Solver

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T21:16:18.570318Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fedd10ff-3075-4cc9-a8ba-60e56bf26b97 · outbound

This paper cites Quantum linear system solver based on time-optimal adiabatic quantum computing and quantum approximate optimization algorithm.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Quantum linear system solver based on time-optimal adiabatic quantum computing and quantum approximate optimization algorithm

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T21:16:18.574033Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d1a561a-447f-4b27-9965-bfe43773fcb3 · outbound

This paper cites Quantum-classical algorithms for skewed linear systems with an optimized hadamard test,.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Quantum-classical algorithms for skewed linear systems with an optimized hadamard test,

Reference 16

Resolution: verified exact; doi, observed 2026-08-11T21:16:18.754041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ff00c345-b05a-4a5e-bdd8-5e3dc9893860 · outbound

This paper cites Quantum algorithm for linear systems of equations,.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Quantum algorithm for linear systems of equations,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:16:19.123933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f05e85d6-79a4-4ddf-88b6-847d57dccd50 · outbound

This paper cites Quarteroni, Numerical Models for Differential Problems.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Quarteroni, Numerical Models for Differential Problems

Reference 18

Resolution: malformed identifier; raw_fallback, observed 2026-08-11T21:16:19.112643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 60a181b5-9b80-402d-a374-b2dc256374a7 · outbound

This paper cites Power of one bit of quantum information,.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Power of one bit of quantum information,

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T21:16:18.594569Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7523a28-3848-40d0-9e3b-1ce1b4ef5f20 · outbound

This paper cites Hardness of classically sampling the one-clean- qubit model with constant total variation distance error,.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Hardness of classically sampling the one-clean- qubit model with constant total variation distance error,

Reference 20

Resolution: verified exact; doi, observed 2026-08-11T21:16:18.726180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation dba94b3a-c655-4ba8-9880-9cd86f6be5d2 · outbound

This paper cites Impossibility of classically simulating one-clean-qubit model with multiplicative error,.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Impossibility of classically simulating one-clean-qubit model with multiplicative error,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:16:19.100942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f6d990f9-b4e0-4a29-b6b4-4a8350ad0958 · outbound

This paper cites Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets,.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets,

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-11T21:16:18.608611Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cab00110-7ac1-4f8e-9116-02f67df8e020 · outbound

This paper cites From the quantum approximate optimization algorithm to a quantum alternating operator ansatz,.

Solving 1D Poisson problem with a Variational Quantum Linear Solver From the quantum approximate optimization algorithm to a quantum alternating operator ansatz,

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-11T21:16:18.613173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 731f75bc-5215-420d-9f54-8f2a5d7ee388 · outbound

This paper cites Quantum approximate optimization is computationally universal.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Quantum approximate optimization is computationally universal

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-11T21:16:18.616451Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c4aeab33-ec86-43ba-899c-62d018c37472 · outbound

This paper cites Stochastic gradient descent for hybrid quantum-classical optimization,.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Stochastic gradient descent for hybrid quantum-classical optimization,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:16:19.089933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3ba85618-da73-44ba-b950-67be19cc4fba · outbound

This paper cites Fletcher, Practical Methods of Optimization; (2nd Ed.).

Solving 1D Poisson problem with a Variational Quantum Linear Solver Fletcher, Practical Methods of Optimization; (2nd Ed.)

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:16:19.077596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 983092b1-9af2-4619-a2c0-cc07e30e4277 · outbound

This paper cites A simplex method for function minimization,.

Solving 1D Poisson problem with a Variational Quantum Linear Solver A simplex method for function minimization,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:16:19.065556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9d114b26-4ebe-4d58-abf2-47674e1989c4 · outbound

This paper cites an unresolved cited work.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-11T21:16:18.638792Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 70c9bb8b-d11c-427a-ac96-474bf74b2791 · outbound

This paper cites an unresolved cited work.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-11T21:16:18.642966Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e3a6ec75-f45e-4f4f-ad22-a41b7b2a140b · outbound

This paper cites A variational linear solver for the poisson 1d matrix,.

Solving 1D Poisson problem with a Variational Quantum Linear Solver A variational linear solver for the poisson 1d matrix,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:16:19.044704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8c499333-f35f-42d8-a94f-df8d4167857c · outbound

This paper cites Qiskit: An open-source framework for quantum computing,.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Qiskit: An open-source framework for quantum computing,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:16:19.031561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 188e47dd-45bb-4040-8ff8-9ad9f0be5b34 · outbound

This paper cites Ibm quantum,.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Ibm quantum,

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:16:19.020364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d5a3fecb-d3aa-482b-9f88-71df49a11e4f · outbound

This paper cites Noise resilience of variational quantum compiling,.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Noise resilience of variational quantum compiling,

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-11T21:16:18.656590Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e9f93ad-7dec-4bcb-9107-020970314f44 · outbound

This paper cites Available: https://doi.org/10.1093/comjnl/7.4.308.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Available: https://doi.org/10.1093/comjnl/7.4.308

Reference 1965

Resolution: unresolved; no resolver link, observed 2026-08-11T21:16:18.634781Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7228a25b-8032-4711-9612-66519a485af8 · outbound

This paper cites Available: https://link.aps.org/doi/10.1103/PhysRevLett.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Available: https://link.aps.org/doi/10.1103/PhysRevLett

Reference 2018

Resolution: malformed identifier; no resolver link, observed 2026-08-11T21:16:18.605053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d08255a-de8b-4c45-919d-3d13d6b9f59b · outbound

This paper cites Available: https://doi.org/10.1038/s41586-019-1666-5.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Available: https://doi.org/10.1038/s41586-019-1666-5

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-08-11T21:16:18.529650Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8bf98e80-4885-413a-9dee-e748b894227e · outbound

This paper cites Available: https://doi.org/10.22331/q-2020-08-31-314.

Solving 1D Poisson problem with a Variational Quantum Linear Solver Available: https://doi.org/10.22331/q-2020-08-31-314

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-11T21:16:18.625089Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation ed353f9c-6a1a-4d60-91e2-4672ddf5c549 · inbound

A generalized variational quantum linear solver on photonic platform cites this paper.

A generalized variational quantum linear solver on photonic platform Solving 1D Poisson problem with a Variational Quantum Linear Solver

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-02T02:05:00.896318Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.