Paper Citation Record · LEDGER

Solving graph problems using permutation-invariant quantum machine learning

As of 20 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 2 inbound Pith citation observations for arXiv:2505.12764.

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

pith.paper-citation-record.v1
2505.12764 v2

Coverage vector

measured 57 of 57 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:32:53.330291Z

measured 59 of 59 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:12:44.275202Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T00:56:20.568956Z

Reference resolution

57 of 57 outbound references displayed

verified exact5
verified fuzzy17
unresolved32
parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 24e089c7-7bac-41e6-a75b-4da6d246e41f · outbound

This paper cites Quantum computing based hy- brid solution strategies for large-scale discrete-continuous optimization problems,.

Solving graph problems using permutation-invariant quantum machine learning Quantum computing based hy- brid solution strategies for large-scale discrete-continuous optimization problems,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:32:55.195576Z

Source-reported events for the cited work

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Observation e4278a98-c964-4637-9185-d412a7c28f91 · outbound

This paper cites an unresolved cited work.

Solving graph problems using permutation-invariant quantum machine learning Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:32:55.173055Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ce45176c-bc6f-4c3b-bd53-6b78cb3f0ff1 · outbound

This paper cites PennyLane: Automatic differentiation of hybrid quantum-classical computations.

Solving graph problems using permutation-invariant quantum machine learning PennyLane: Automatic differentiation of hybrid quantum-classical computations

Reference 3

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Source-reported events for the cited work

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Observation 6a0b1625-be2b-4e93-be9d-d19d903f63bc · outbound

This paper cites Quantum Machine Learning.

Solving graph problems using permutation-invariant quantum machine learning Quantum Machine Learning

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T20:32:53.022497Z

Source-reported events for the cited work

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Observation c30e087d-c2af-4089-8755-b17a42f97a46 · outbound

This paper cites Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges.

Solving graph problems using permutation-invariant quantum machine learning Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T20:32:53.029871Z

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Observation ed66af03-422b-4d3f-8323-b6f76135c645 · outbound

This paper cites Quantum optimal control with quantum computers: A hybrid algorithm featuring machine learning optimization,.

Solving graph problems using permutation-invariant quantum machine learning Quantum optimal control with quantum computers: A hybrid algorithm featuring machine learning optimization,

Reference 6

Resolution: verified exact; doi, observed 2026-08-15T20:32:53.507566Z

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Observation bbfbbcb7-bfdb-485f-b73e-8022e84597f7 · outbound

This paper cites A Tutorial on Quantum Approximate Optimization Algorithm (QAOA): Fundamentals and Applications,.

Solving graph problems using permutation-invariant quantum machine learning A Tutorial on Quantum Approximate Optimization Algorithm (QAOA): Fundamentals and Applications,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:32:55.150708Z

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Observation 7281852c-e886-4271-93a5-e013de47d03f · outbound

This paper cites Exploring Potential Applications of Quantum Computing in Transportation Modelling,.

Solving graph problems using permutation-invariant quantum machine learning Exploring Potential Applications of Quantum Computing in Transportation Modelling,

Reference 8

Resolution: verified exact; raw_fallback, observed 2026-08-15T20:32:54.496521Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 01a99d5a-4364-4cb6-8888-51ff60fa7c77 · outbound

This paper cites Rapid solution of problems by quantum computation,.

Solving graph problems using permutation-invariant quantum machine learning Rapid solution of problems by quantum computation,

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T20:32:53.063732Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8480c29-c538-4a70-9aa0-d4d3588e7761 · outbound

This paper cites Convolutional neural network: a review of models, methodologies and applications to object detection,.

Solving graph problems using permutation-invariant quantum machine learning Convolutional neural network: a review of models, methodologies and applications to object detection,

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T20:32:53.069603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 908831c1-7f53-49ad-9e05-456cc4c7319f · outbound

This paper cites Quantum algorithms for optimal graph traversal problems,.

Solving graph problems using permutation-invariant quantum machine learning Quantum algorithms for optimal graph traversal problems,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:32:55.105921Z

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Observation 79b0f889-ca0e-408c-80a2-c13f0cac475d · outbound

This paper cites On random graphs. I.

Solving graph problems using permutation-invariant quantum machine learning On random graphs. I

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:32:55.084351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 18bc5735-13db-4a33-91b1-e8b990a04a86 · outbound

This paper cites A Hybrid Solution Method for the Capacitated Vehicle Routing Problem Using a Quantum Annealer,.

Solving graph problems using permutation-invariant quantum machine learning A Hybrid Solution Method for the Capacitated Vehicle Routing Problem Using a Quantum Annealer,

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T20:32:53.087317Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef7edce5-197c-4c42-b394-ecff51227117 · outbound

This paper cites QUARK: A Framework for Quantum Computing Application Benchmarking.

Solving graph problems using permutation-invariant quantum machine learning QUARK: A Framework for Quantum Computing Application Benchmarking

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T20:32:53.092727Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 595c808f-36bc-4598-b2c9-2d4ade788f60 · outbound

This paper cites Robust Branch-and-Cut-and-Price for the Capacitated Vehicle Routing Problem,.

Solving graph problems using permutation-invariant quantum machine learning Robust Branch-and-Cut-and-Price for the Capacitated Vehicle Routing Problem,

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T20:32:53.098663Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e5316fe-92e9-4954-acc0-a9550bae9134 · outbound

This paper cites Survey on graph neural networks,.

Solving graph problems using permutation-invariant quantum machine learning Survey on graph neural networks,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:32:55.063063Z

Source-reported events for the cited work

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Observation 4f2a7359-c0d3-426b-8aad-e8bd9b2c3783 · outbound

This paper cites A new model for learning in graph domains,.

Solving graph problems using permutation-invariant quantum machine learning A new model for learning in graph domains,

Reference 17

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 48630897-ef4a-4a75-b813-06c40c2d6435 · outbound

This paper cites Stabilizer Codes and Quantum Error Correction.

Solving graph problems using permutation-invariant quantum machine learning Stabilizer Codes and Quantum Error Correction

Reference 18

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 763fa6d0-95f1-44eb-a45e-7ff86154a732 · outbound

This paper cites an unresolved cited work.

Solving graph problems using permutation-invariant quantum machine learning Unresolved cited work

Reference 19

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Observation 49d4181d-e716-432f-b58e-c57da00a35cf · outbound

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

Solving graph problems using permutation-invariant quantum machine learning A fast quantum mechanical algorithm for database search,

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-15T20:32:53.127037Z

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Observation c89e786c-3983-42f0-a500-89b1ac605e36 · outbound

This paper cites Compact Lie Groups and Maximal Tori,.

Solving graph problems using permutation-invariant quantum machine learning Compact Lie Groups and Maximal Tori,

Reference 21

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Observation 350710c9-fdeb-4573-b382-4922e12f84ae · outbound

This paper cites Lie Groups, Lie Algebras, and Representations,.

Solving graph problems using permutation-invariant quantum machine learning Lie Groups, Lie Algebras, and Representations,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:32:55.022781Z

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Observation 61760abd-9e4b-4e10-9230-1577da09ceae · outbound

This paper cites Helgason,Differential Geometry, Lie Groups, and Symmetric Spaces.

Solving graph problems using permutation-invariant quantum machine learning Helgason,Differential Geometry, Lie Groups, and Symmetric Spaces

Reference 23

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Source-reported events for the cited work

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Observation ee65f7ba-d4f6-4538-9f1a-52aadf65931a · outbound

This paper cites Impact of graph structures for QAOA on MaxCut,.

Solving graph problems using permutation-invariant quantum machine learning Impact of graph structures for QAOA on MaxCut,

Reference 24

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Source-reported events for the cited work

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Observation 73791588-e38b-4ec5-9230-7f92a2f71603 · outbound

This paper cites Connecting Ansatz Expressibility to Gradient Magnitudes and Barren Plateaus,.

Solving graph problems using permutation-invariant quantum machine learning Connecting Ansatz Expressibility to Gradient Magnitudes and Barren Plateaus,

Reference 25

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Observation dd4d0c71-86f6-46fe-8bb1-31a7125032cb · outbound

This paper cites A survey of graph neural networks in real world: Imbalance, noise, privacy and ood challenges,.

Solving graph problems using permutation-invariant quantum machine learning A survey of graph neural networks in real world: Imbalance, noise, privacy and ood challenges,

Reference 26

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Observation b8d0a497-ab6f-4ea6-90a6-bdb64b21f5c2 · outbound

This paper cites A survey on the vehicle routing problem and its variants,.

Solving graph problems using permutation-invariant quantum machine learning A survey on the vehicle routing problem and its variants,

Reference 27

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Observation 8f14455e-f439-4829-9ac3-a02f725268cc · outbound

This paper cites an unresolved cited work.

Solving graph problems using permutation-invariant quantum machine learning Unresolved cited work

Reference 28

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Observation 6fc99d8b-105a-42d5-93c2-090ce40f8a3e · outbound

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Solving graph problems using permutation-invariant quantum machine learning Unresolved cited work

Reference 29

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Observation 3f34109d-dfaf-44e6-b336-530794edd18e · outbound

This paper cites an unresolved cited work.

Solving graph problems using permutation-invariant quantum machine learning Unresolved cited work

Reference 30

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Observation 25238bfb-f161-4fab-bfc7-2a3852cf35e7 · outbound

This paper cites Group-Invariant Quantum Machine Learning,.

Solving graph problems using permutation-invariant quantum machine learning Group-Invariant Quantum Machine Learning,

Reference 31

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Observation fd17f7a7-65b6-4546-a190-7bf1ecc6436d · outbound

This paper cites Backpropagation applied to handwritten zip code recognition,.

Solving graph problems using permutation-invariant quantum machine learning Backpropagation applied to handwritten zip code recognition,

Reference 32

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Observation f30d797f-5f39-4db9-8375-d6069ae9cad1 · outbound

This paper cites Symmetry-restricted quantum circuits are still well-behaved.

Solving graph problems using permutation-invariant quantum machine learning Symmetry-restricted quantum circuits are still well-behaved

Reference 33

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Observation 89753578-59dc-491d-b464-e1886d01fc86 · outbound

This paper cites Permutation-invariant quantum circuits.

Solving graph problems using permutation-invariant quantum machine learning Permutation-invariant quantum circuits

Reference 34

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Observation 83cc513f-b1e7-45ce-a863-ce1171ac9c0d · outbound

This paper cites Scaling of symmetry-restricted quantum circuits.

Solving graph problems using permutation-invariant quantum machine learning Scaling of symmetry-restricted quantum circuits

Reference 35

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Observation c272635d-8223-433d-91ed-94e350912125 · outbound

This paper cites Quantum annealing of the traveling-salesman problem,.

Solving graph problems using permutation-invariant quantum machine learning Quantum annealing of the traveling-salesman problem,

Reference 36

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Observation 1fc95a56-0dc2-409d-a164-868487b7f762 · outbound

This paper cites Exploiting Symmetry in Variational Quantum Machine Learning,.

Solving graph problems using permutation-invariant quantum machine learning Exploiting Symmetry in Variational Quantum Machine Learning,

Reference 37

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Observation d29111a5-4e41-4d3e-a990-b73a049acbbb · outbound

This paper cites The quantum mechanical solution of the traveling salesman problem,.

Solving graph problems using permutation-invariant quantum machine learning The quantum mechanical solution of the traveling salesman problem,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:32:54.861478Z

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Observation 6012c899-8e76-4e55-9c3a-8d88d622ae58 · outbound

This paper cites Theory for Equivariant Quantum Neural Networks,.

Solving graph problems using permutation-invariant quantum machine learning Theory for Equivariant Quantum Neural Networks,

Reference 39

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Solving graph problems using permutation-invariant quantum machine learning Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:32:54.839746Z

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Observation b8b4f1d5-a0bc-4927-b14b-b3337c97f0b7 · outbound

This paper cites Number of simple graphs on n unlabeled nodes,.

Solving graph problems using permutation-invariant quantum machine learning Number of simple graphs on n unlabeled nodes,

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:32:54.816020Z

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Observation c653cd7f-5d9b-4662-8d89-82466293dfe0 · outbound

This paper cites Total number of nodes in all labeled graphs on n nodes,.

Solving graph problems using permutation-invariant quantum machine learning Total number of nodes in all labeled graphs on n nodes,

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:32:54.785165Z

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Observation 1ae19b7c-7361-425e-ab11-48ce22c83fcf · outbound

This paper cites Tensor networks for complex quantum systems,.

Solving graph problems using permutation-invariant quantum machine learning Tensor networks for complex quantum systems,

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:32:54.749270Z

Source-reported events for the cited work

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Observation 79408856-4e0a-4dfd-942e-9e404d27c971 · outbound

This paper cites A Systematic Literature Review of Quantum Computing for Routing Problems,.

Solving graph problems using permutation-invariant quantum machine learning A Systematic Literature Review of Quantum Computing for Routing Problems,

Reference 44

Resolution: verified exact; raw_fallback, observed 2026-08-15T20:32:53.707526Z

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Observation 1743df6e-c204-493c-a833-1d45c5c16319 · outbound

This paper cites Variational quantum algorithms for combinatorial optimization,.

Solving graph problems using permutation-invariant quantum machine learning Variational quantum algorithms for combinatorial optimization,

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:32:54.720207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f36a5236-2cad-4a21-be4c-cb527f6b4ae5 · outbound

This paper cites A Lie Algebraic Theory of Barren Plateaus for Deep Parameterized Quantum Circuits.

Solving graph problems using permutation-invariant quantum machine learning A Lie Algebraic Theory of Barren Plateaus for Deep Parameterized Quantum Circuits

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-15T20:32:53.277405Z

Source-reported events for the cited work

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Observation b4ec5f33-d83c-4b5c-8a14-e6c38a59a176 · outbound

This paper cites From Problem to Solution: A General Pipeline to Solve Optimisation Problems on Quantum Hardware,.

Solving graph problems using permutation-invariant quantum machine learning From Problem to Solution: A General Pipeline to Solve Optimisation Problems on Quantum Hardware,

Reference 47

Resolution: verified exact; doi, observed 2026-08-15T20:32:53.391254Z

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Observation 2415b6cb-a43a-416a-bd75-e95d492388ff · outbound

This paper cites Theoretical guarantees for permutation-equivariant quantum neural networks,.

Solving graph problems using permutation-invariant quantum machine learning Theoretical guarantees for permutation-equivariant quantum neural networks,

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:32:54.694658Z

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Observation 72e53bfb-2f6d-4a4e-9179-fd49ab112298 · outbound

This paper cites An introduction to quantum machine learning.

Solving graph problems using permutation-invariant quantum machine learning An introduction to quantum machine learning

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-15T20:32:53.296182Z

Source-reported events for the cited work

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Observation d5739f29-a8ac-486a-b54c-5db98cc4d902 · outbound

This paper cites Algorithms for quantum computation: discrete logarithms and factoring,.

Solving graph problems using permutation-invariant quantum machine learning Algorithms for quantum computation: discrete logarithms and factoring,

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:32:54.672195Z

Source-reported events for the cited work

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Observation e37a7b20-94a4-407b-b392-1d0983ee6a68 · outbound

This paper cites Quan- tum Natural Gradient,.

Solving graph problems using permutation-invariant quantum machine learning Quan- tum Natural Gradient,

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:32:54.651781Z

Source-reported events for the cited work

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Observation e6304026-b674-4ec0-a86c-16024bcf13aa · outbound

This paper cites Comparison of QAOA with Quantum and Simulated Annealing.

Solving graph problems using permutation-invariant quantum machine learning Comparison of QAOA with Quantum and Simulated Annealing

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-15T20:32:53.313259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 35927c61-d4b4-4ca2-9e6f-06cb12a452a8 · outbound

This paper cites Attention is all you need,.

Solving graph problems using permutation-invariant quantum machine learning Attention is all you need,

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-15T20:32:53.319161Z

Source-reported events for the cited work

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Observation 5a689955-bff8-4bf6-b6bf-27afe5c4e348 · outbound

This paper cites Review of vehicle routing problems: Models, classification and solving algorithms,.

Solving graph problems using permutation-invariant quantum machine learning Review of vehicle routing problems: Models, classification and solving algorithms,

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:32:54.615150Z

Source-reported events for the cited work

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Observation 6b68eeb7-5dd9-4070-99b0-258035de480c · outbound

This paper cites Variational post-selection for ground states and thermal states simulation,.

Solving graph problems using permutation-invariant quantum machine learning Variational post-selection for ground states and thermal states simulation,

Reference 55

Resolution: malformed identifier; no resolver link, observed 2026-08-15T20:32:53.330291Z

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Observation df0d2444-318c-4b10-bbc4-a073ea1024cf · outbound

This paper cites Available: https://doi.org/10.1007/978-1-4614-7116-5 16.

Solving graph problems using permutation-invariant quantum machine learning Available: https://doi.org/10.1007/978-1-4614-7116-5 16

Reference 366

Resolution: unresolved; no resolver link, observed 2026-08-15T20:32:53.143419Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cca75dda-5bc0-4275-a210-d79dc16a83ed · outbound

This paper cites Available: https://ieeexplore.ieee.org/abstract/document/ 8939749.

Solving graph problems using permutation-invariant quantum machine learning Available: https://ieeexplore.ieee.org/abstract/document/ 8939749

Reference 1233

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:32:55.128942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

Observation 0711f48c-6a6a-4bbd-8441-6399be78e584 · inbound

Clique detection using symmetry-restricted quantum circuits cites this paper.

Clique detection using symmetry-restricted quantum circuits Solving graph problems using permutation-invariant quantum machine learning

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T11:12:44.275202Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4b28ae2-fad4-453f-8f41-4cb06e248e1f · inbound

Analysis of quantum neural network performance via edge cases cites this paper.

Analysis of quantum neural network performance via edge cases Solving graph problems using permutation-invariant quantum machine learning

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:56:20.676969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.