Paper Citation Record · LEDGER

Efficient hybrid variational quantum algorithm for solving graph coloring problem

As of 16 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 2 inbound Pith citation observations for arXiv:2504.21335.

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

pith.paper-citation-record.v1
2504.21335 v1

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:12:52.273396Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:35:51.714836Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T04:35:53.552188Z

Reference resolution

44 of 44 outbound references displayed

verified exact4
verified fuzzy13
unresolved27
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0ac02a25-81dc-4691-a66f-4ca31ad11503 · outbound

This paper cites The QAOA algorithm’s balanced resource allocation significantly outper- forms that of the classical greedy algorithm, effectively mini- mizing resource waste.

Efficient hybrid variational quantum algorithm for solving graph coloring problem The QAOA algorithm’s balanced resource allocation significantly outper- forms that of the classical greedy algorithm, effectively mini- mizing resource waste

Reference 1

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Observation c47dea38-dfd1-4ef2-916a-7581ba9b37fe · outbound

This paper cites an unresolved cited work.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:12:52.842401Z

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Observation 9a2783c3-c71a-4765-b195-0652452c3908 · outbound

This paper cites Lecture notes on quantum computing.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Lecture notes on quantum computing

Reference 3

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Source-reported events for the cited work

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Observation d9dfcb1c-3848-47e8-9815-fe83551f4997 · outbound

This paper cites Jäger and R.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Jäger and R

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:12:52.830577Z

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Observation 7e1dbc7a-2976-468c-a033-ab78a9c041f9 · outbound

This paper cites Ding, X.-Y.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Ding, X.-Y

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:12:52.820174Z

Source-reported events for the cited work

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Observation fd908743-a2d8-458b-8a3e-6d31ce694889 · outbound

This paper cites Wurtz and P.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Wurtz and P

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:12:52.808845Z

Source-reported events for the cited work

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Observation c236b022-001b-48fe-89ab-a3a9fd5af499 · outbound

This paper cites an unresolved cited work.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Unresolved cited work

Reference 7

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Observation 7dda94ab-cac3-4ebe-8a43-98d7d36adca4 · outbound

This paper cites an unresolved cited work.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:12:52.798208Z

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Observation ac6cc870-e979-463f-8a99-0df873408ee0 · outbound

This paper cites A Review on Quantum Approximate Optimization Algorithm and its Variants.

Efficient hybrid variational quantum algorithm for solving graph coloring problem A Review on Quantum Approximate Optimization Algorithm and its Variants

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-16T05:12:52.136521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21b380a2-fa3b-4b55-86a5-29fc3a397369 · outbound

This paper cites Introduction to Variational Quantum Algorithms.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Introduction to Variational Quantum Algorithms

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-16T05:12:52.140496Z

Source-reported events for the cited work

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Observation 7e381bab-8228-4f9c-9bf4-f9fbccb01cc5 · outbound

This paper cites From the Quantum Approximate Optimization Algorithm to a Quantum Alternating Operator Ansatz.

Efficient hybrid variational quantum algorithm for solving graph coloring problem From the Quantum Approximate Optimization Algorithm to a Quantum Alternating Operator Ansatz

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-16T05:12:52.144391Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f905c125-b794-456e-b032-67f79ea345ef · outbound

This paper cites an unresolved cited work.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:12:52.786558Z

Source-reported events for the cited work

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Observation 3380c921-9ff8-4c11-a83f-5439e177730f · outbound

This paper cites Quantum Approximate Optimization Algorithm: Performance, Mechanism, and Implementation on Near-Term Devices.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Quantum Approximate Optimization Algorithm: Performance, Mechanism, and Implementation on Near-Term Devices

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-16T05:12:52.151403Z

Source-reported events for the cited work

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Observation 3152f656-c5e3-4741-b771-a76436e20bfb · outbound

This paper cites Quantum Approximate Optimization of Non-Planar Graph Problems on a Planar Superconducting Processor.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Quantum Approximate Optimization of Non-Planar Graph Problems on a Planar Superconducting Processor

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-16T05:12:52.155216Z

Source-reported events for the cited work

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Observation b3975586-be0c-4e54-9edb-d652eb2094d9 · outbound

This paper cites Cerezo, A.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Cerezo, A

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:12:52.775413Z

Source-reported events for the cited work

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Observation 8e648e5d-48cd-452d-8700-006a0b41fcec · outbound

This paper cites Bharti, A.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Bharti, A

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:12:52.764495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 347558ce-2100-44cd-ade8-c289ad7d54fb · outbound

This paper cites Cerezo, A.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Cerezo, A

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:12:52.753275Z

Source-reported events for the cited work

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Observation dc74dafc-97d6-4161-9fad-5a5035d60ebf · outbound

This paper cites an unresolved cited work.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Unresolved cited work

Reference 18

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8a5c4f17-98f0-49c9-b6c7-7db15151c0e4 · outbound

This paper cites Noise-Induced Barren Plateaus in Variational Quantum Algorithms.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Noise-Induced Barren Plateaus in Variational Quantum Algorithms

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-16T05:12:52.175404Z

Source-reported events for the cited work

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Observation 94bcc38f-b8d8-414f-b7ce-49a657dbfab4 · outbound

This paper cites an unresolved cited work.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Unresolved cited work

Reference 20

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ba8fc2dc-89c7-40d1-9301-8eb61725db5c · outbound

This paper cites Noise-Resistant Quantum State Compression Readout.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Noise-Resistant Quantum State Compression Readout

Reference 21

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7f0c21c1-ef4d-4f55-9245-4fa39399b57d · outbound

This paper cites Modeling and mitigation of cross-talk effects in readout noise with applications to the Quantum Approximate Optimization Algorithm.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Modeling and mitigation of cross-talk effects in readout noise with applications to the Quantum Approximate Optimization Algorithm

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-16T05:12:52.487823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e37d0efc-13bb-45c2-87a6-67d98e7e8373 · outbound

This paper cites Real-time error mitigation for variational optimization on quantum hardware.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Real-time error mitigation for variational optimization on quantum hardware

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-16T05:12:52.192416Z

Source-reported events for the cited work

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Observation 9b85dcac-444f-487d-a201-921f55d049c5 · outbound

This paper cites Large-scale quantum approximate optimization on non-planar graphs with machine learning noise mitigation.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Large-scale quantum approximate optimization on non-planar graphs with machine learning noise mitigation

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-16T05:12:52.195665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ae5a3fc-5ea5-4b8d-9805-c39798f78c20 · outbound

This paper cites MindSpore Quantum: A User-Friendly, High-Performance, and AI-Compatible Quantum Computing Framework.

Efficient hybrid variational quantum algorithm for solving graph coloring problem MindSpore Quantum: A User-Friendly, High-Performance, and AI-Compatible Quantum Computing Framework

Reference 25

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Source-reported events for the cited work

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Observation 7bb35279-f17c-4421-8c17-dab92d2e8257 · outbound

This paper cites TensorFlow Quantum: A Software Framework for Quantum Machine Learning.

Efficient hybrid variational quantum algorithm for solving graph coloring problem TensorFlow Quantum: A Software Framework for Quantum Machine Learning

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-16T05:12:52.202854Z

Source-reported events for the cited work

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Observation 1f3b3bda-43b0-454b-9fa3-b4a0153bf8e5 · outbound

This paper cites Peters, J.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Peters, J

Reference 27

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 764cc0c2-aa9d-4c51-a04c-68454043fce6 · outbound

This paper cites an unresolved cited work.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Unresolved cited work

Reference 28

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Source-reported events for the cited work

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Observation 5f47eae6-cc01-43b0-9123-794ba47e577f · outbound

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

Efficient hybrid variational quantum algorithm for solving graph coloring problem PennyLane: Automatic differentiation of hybrid quantum-classical computations

Reference 29

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Observation 50c8c9b9-489a-46b0-9f16-e837d91780ef · outbound

This paper cites Xu and L.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Xu and L

Reference 30

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Observation 130e73bd-bb5c-41f0-a756-948400772b33 · outbound

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Efficient hybrid variational quantum algorithm for solving graph coloring problem Unresolved cited work

Reference 31

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Observation 227af49a-3f5e-4982-a3ba-3cd8aea4e1c8 · outbound

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Efficient hybrid variational quantum algorithm for solving graph coloring problem Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:12:52.683757Z

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Observation ae589ea8-925d-45de-b2c3-feb9e609dc7b · outbound

This paper cites Colantonio, A.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Colantonio, A

Reference 33

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Source-reported events for the cited work

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This paper cites Chiarandini, I.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Chiarandini, I

Reference 34

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Observation db94b50b-641c-4d07-a40c-8148af0ad362 · outbound

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Efficient hybrid variational quantum algorithm for solving graph coloring problem Unresolved cited work

Reference 35

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Observation 6c703fa0-c382-4af5-8987-a5f6be2f2320 · outbound

This paper cites Coloring Big Graphs with AlphaGoZero.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Coloring Big Graphs with AlphaGoZero

Reference 36

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 73bc07ec-e706-4f42-bae9-bd7b738065e4 · outbound

This paper cites an unresolved cited work.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:12:52.649348Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 18729d2c-574d-490c-8da3-ec3b57bb8bbb · outbound

This paper cites Solving Multi-Coloring Combinatorial Optimization Problems Using Hybrid Quantum Algorithms.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Solving Multi-Coloring Combinatorial Optimization Problems Using Hybrid Quantum Algorithms

Reference 38

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This paper cites an unresolved cited work.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Unresolved cited work

Reference 39

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 693a0801-c874-4644-ba3f-0a345da05743 · outbound

This paper cites an unresolved cited work.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Unresolved cited work

Reference 40

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e729b006-5a72-406d-bdb0-452d473b6f03 · outbound

This paper cites Bravyi, A.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Bravyi, A

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:12:52.612304Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7e867c09-860f-4e2a-9823-3e973b104cfc · outbound

This paper cites QAOA-in-QAOA: solving large-scale MaxCut problems on small quantum machines.

Efficient hybrid variational quantum algorithm for solving graph coloring problem QAOA-in-QAOA: solving large-scale MaxCut problems on small quantum machines

Reference 42

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Efficient hybrid variational quantum algorithm for solving graph coloring problem Deller, S

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:12:52.600667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a4027788-d63d-4996-b157-ef26d69ca17d · outbound

This paper cites Bottrill, M.

Efficient hybrid variational quantum algorithm for solving graph coloring problem Bottrill, M

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:12:52.589704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

Observation 95855063-a937-4812-93d0-9f0f9a34cb00 · inbound

Resource-Efficient Quantum Optimization via Higher-Order Encoding cites this paper.

Resource-Efficient Quantum Optimization via Higher-Order Encoding Efficient hybrid variational quantum algorithm for solving graph coloring problem

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-03T23:15:44.681595Z

Source-reported events for the cited work

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Observation d0762706-4f14-47e1-9ed4-4e35e0c4e848 · inbound

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation cites this paper.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Efficient hybrid variational quantum algorithm for solving graph coloring problem

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:35:53.584752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.