Paper Citation Record · LEDGER

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm

As of 7 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2608.06212.

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

pith.paper-citation-record.v1
2608.06212 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:27:19.155068Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

32 of 32 outbound references displayed

verified exact0
verified fuzzy19
unresolved13
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External citation measurements

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Outbound references

Observation f57f7e38-da1f-46e1-85d6-cc01fae8e9bc · outbound

This paper cites an unresolved cited work.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:27:22.469407Z

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.

Observation e226f167-3158-45c1-8d0e-8cebf642cd93 · outbound

This paper cites What works best when? a systematic evaluation of heuristics for max-cut and qubo.INFORMS Journal on Computing, 30(3):608–624, 2018.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm What works best when? a systematic evaluation of heuristics for max-cut and qubo.INFORMS Journal on Computing, 30(3):608–624, 2018

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:27:22.286981Z

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.

Observation a2be26d7-5f0f-4207-a5f2-2bed1b2d74c7 · outbound

This paper cites Quantum computing for finance.Nature Reviews Physics, 5(8):450–465, 2023.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Quantum computing for finance.Nature Reviews Physics, 5(8):450–465, 2023

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T12:27:16.958992Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d46147a-50e6-4ab9-b300-73c1bf324615 · outbound

This paper cites Recent advances in graph partitioning.Algorithm engineering, pages 117–158, 2016.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Recent advances in graph partitioning.Algorithm engineering, pages 117–158, 2016

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:27:22.060450Z

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.

Observation d42e851d-e608-4e4e-9246-ba994c74b6e1 · outbound

This paper cites Ising formulations of many np problems.Frontiers in physics, 2:74887, 2014.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Ising formulations of many np problems.Frontiers in physics, 2:74887, 2014

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T12:27:17.136067Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ea725e78-f345-4c00-b31c-12958f7c14d5 · outbound

This paper cites Improved approximation algorithms for maximum cut and satisfiability problems using semidefi- nite programming.Journal of the ACM (JACM), 42(6):1115–1145, 1995.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Improved approximation algorithms for maximum cut and satisfiability problems using semidefi- nite programming.Journal of the ACM (JACM), 42(6):1115–1145, 1995

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T12:27:17.229681Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7bad385-42b5-4b1d-9e92-47259e09d25e · outbound

This paper cites Optimal inapproximability results for max-cut and other 2-variable csps? SIAM Journal on Computing, 37(1):319–357, 2007.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Optimal inapproximability results for max-cut and other 2-variable csps? SIAM Journal on Computing, 37(1):319–357, 2007

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T12:27:17.297232Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ae8580a-d71e-4545-a0f8-7c9dd8a04251 · outbound

This paper cites Rank-two relax- ation heuristics for max-cut and other binary quadratic programs.SIAM Journal on Optimization, 12(2):503–521, 2002.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Rank-two relax- ation heuristics for max-cut and other binary quadratic programs.SIAM Journal on Optimization, 12(2):503–521, 2002

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:27:21.878043Z

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.

Observation 653890b0-1250-48fb-9ba6-cf1ae4302fb1 · outbound

This paper cites A Quantum Approximate Optimization Algorithm.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm A Quantum Approximate Optimization Algorithm

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T12:27:17.436798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47085f33-eaee-4d92-935c-52587a32bf9e · outbound

This paper cites Toward a linear-ramp qaoa protocol: evidence of a scaling advantage in solving some combinatorial optimization problems.npj Quantum Information, 11(1):131, 2025.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Toward a linear-ramp qaoa protocol: evidence of a scaling advantage in solving some combinatorial optimization problems.npj Quantum Information, 11(1):131, 2025

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T12:27:17.503132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f02c2470-ffcc-454c-89d2-993c454175f7 · outbound

This paper cites Mlqaoa: Graph learning ac- celerated hybrid quantum-classical multilevel qaoa.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Mlqaoa: Graph learning ac- celerated hybrid quantum-classical multilevel qaoa

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T12:27:17.581654Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 199699ec-6097-41e2-a5fb-ba133bf13b1b · outbound

This paper cites Solving large-scale qubo with transferred parameters from multilevel qaoa of low depth.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Solving large-scale qubo with transferred parameters from multilevel qaoa of low depth

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:27:21.683410Z

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.

Observation 10980629-46fe-4632-9961-3c08e217f68c · outbound

This paper cites Multilevel combi- natorial optimization across quantum architectures.ACM Transactions on Quantum Computing, 2(1):1–29, 2021.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Multilevel combi- natorial optimization across quantum architectures.ACM Transactions on Quantum Computing, 2(1):1–29, 2021

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T12:27:17.738727Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ba71e7e7-9f0d-47c3-bb18-084c1aca9501 · outbound

This paper cites Local classical max-cut algorithm outperformsp= 2 qaoa on high-girth regular graphs.Quantum, 5:437, 2021.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Local classical max-cut algorithm outperformsp= 2 qaoa on high-girth regular graphs.Quantum, 5:437, 2021

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:27:21.469821Z

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.

Observation 1b7f921b-3330-4562-bcec-560077d2db42 · outbound

This paper cites Maxcut quantum approximate opti- mization algorithm performance guarantees for p¿ 1.Physical Review A, 103(4):042612, 2021.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Maxcut quantum approximate opti- mization algorithm performance guarantees for p¿ 1.Physical Review A, 103(4):042612, 2021

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:27:21.220025Z

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.

Observation 04058f09-8b49-4545-9dff-15feb785ef36 · outbound

This paper cites Quantum approximate optimization algorithm for maxcut: A fermionic view.Physical Review A, 97(2):022304, 2018.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Quantum approximate optimization algorithm for maxcut: A fermionic view.Physical Review A, 97(2):022304, 2018

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:27:21.011799Z

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.

Observation 48088be4-cbc5-4c0d-a339-01f331640be1 · outbound

This paper cites Expectation values from the single-layer quantum approximate optimization algorithm on ising problems.Quantum Science and Technology, 7(4):045036, 2022.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Expectation values from the single-layer quantum approximate optimization algorithm on ising problems.Quantum Science and Technology, 7(4):045036, 2022

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:27:20.936824Z

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.

Observation dca4b0ec-8c5f-4e88-aa4f-fdc0811cef6d · outbound

This paper cites Warm-starting quantum optimization.Quantum, 5:479, 2021.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Warm-starting quantum optimization.Quantum, 5:479, 2021

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:27:20.755864Z

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.

Observation 55f3e739-26f5-4866-a1de-9c702a817fb9 · outbound

This paper cites Bridging classical and quantum with sdp initialized warm-starts for qaoa.ACM Transactions on Quantum Computing, 4(2):1–39, 2023.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Bridging classical and quantum with sdp initialized warm-starts for qaoa.ACM Transactions on Quantum Computing, 4(2):1–39, 2023

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T12:27:18.186915Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df213ff9-0ee1-4623-a02d-a5aacedfecc4 · outbound

This paper cites Beinit: Avoiding barren plateaus in variational quantum algorithms.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Beinit: Avoiding barren plateaus in variational quantum algorithms

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:27:20.589726Z

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.

Observation e20fa565-73ce-44e1-8391-b5602da7aa1c · outbound

This paper cites Optimization via quantum preconditioning.Physical Review Applied, 24(4):044013, 2025.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Optimization via quantum preconditioning.Physical Review Applied, 24(4):044013, 2025

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:27:20.405190Z

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.

Observation 420db275-3a04-4168-a352-61dbd0921ffc · outbound

This paper cites Quantum-Informed Recursive Optimization Algorithms.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Quantum-Informed Recursive Optimization Algorithms

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T12:27:18.404296Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bfb9e675-c63e-4f04-8afd-05edb1a24acb · outbound

This paper cites Obstacles to variational quantum optimization from symmetry protec- tion.Physical review letters, 125(26):260505, 2020.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Obstacles to variational quantum optimization from symmetry protec- tion.Physical review letters, 125(26):260505, 2020

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:27:20.271841Z

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

Observation 1410773e-c27d-42b1-9c63-8aae7ccc9fc5 · outbound

This paper cites Quantum-Enhanced Optimization by Warm Starts.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Quantum-Enhanced Optimization by Warm Starts

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T12:27:18.588941Z

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Unavailable: canonical work link unavailable.

Observation 24611ca0-c11a-48a3-8d8a-0f08336bc959 · outbound

This paper cites Some simplified np-complete problems.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Some simplified np-complete problems

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:27:20.156915Z

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.

Observation 2571d5f2-9e4a-49f1-ae87-6172ccaa4039 · outbound

This paper cites The max-cut problem and quadratic 0–1 optimization; polyhedral aspects, relaxations and bounds.Annals of Operations Research, 33(3):151–180, 1991.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm The max-cut problem and quadratic 0–1 optimization; polyhedral aspects, relaxations and bounds.Annals of Operations Research, 33(3):151–180, 1991

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:27:20.017922Z

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.

Observation 5ec33ddd-6689-465e-9fe5-c45eac80f7e9 · outbound

This paper cites An application of combinatorial optimization to statistical physics and circuit layout design.Operations Research, 36(3):493–513, 1988.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm An application of combinatorial optimization to statistical physics and circuit layout design.Operations Research, 36(3):493–513, 1988

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:27:19.869057Z

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.

Observation 0910e7eb-e0ca-4156-8a17-d7ace9c953f1 · outbound

This paper cites Quantum combinatorial optimization in the nisq era: A systematic mapping study.ACM Computing Surveys, 56(3):1–36, 2023.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Quantum combinatorial optimization in the nisq era: A systematic mapping study.ACM Computing Surveys, 56(3):1–36, 2023

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:27:19.752488Z

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.

Observation 7ac97352-5d73-4868-81ab-073df185c9e1 · outbound

This paper cites Extending relax-and-round combinatorial optimization solvers with quantum correlations.Physical Review A, 109(1):012429, 2024.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Extending relax-and-round combinatorial optimization solvers with quantum correlations.Physical Review A, 109(1):012429, 2024

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:27:19.585241Z

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.

Observation 4b2e22d1-9764-4b3f-9c5f-2e1b71a6c990 · outbound

This paper cites Iterative quantum algorithms for maximum independent set.Physical Review A, 110(5):052435, 2024.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Iterative quantum algorithms for maximum independent set.Physical Review A, 110(5):052435, 2024

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:27:19.448321Z

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

Observation 48fc304a-92da-499a-85e8-cf1aa14cdac6 · outbound

This paper cites Tabu search: A tutorial.Interfaces, 20(4):74–94, 1990.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Tabu search: A tutorial.Interfaces, 20(4):74–94, 1990

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:27:19.342189Z

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.

Observation 092e40c6-b4f6-4aad-8027-351aba12b722 · outbound

This paper cites Quantum Supremacy through the Quantum Approximate Optimization Algorithm.

Warm-Starting MaxCut Relaxation via Low-Depth Quantum Approximate Optimization Algorithm Quantum Supremacy through the Quantum Approximate Optimization Algorithm

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-07T12:27:19.155068Z

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Unavailable: canonical work link unavailable.

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