Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models | Paper Citation Record

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This paper cites Each of these trees makes their own pre- diction.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Each of these trees makes their own pre- diction

Reference 1

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This paper cites 7 Table I.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models 7 Table I

Reference 2

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This paper cites We use three hidden layers with 32, 32, and 16 neurons, respectively, each followed by the ReLU activation function.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models We use three hidden layers with 32, 32, and 16 neurons, respectively, each followed by the ReLU activation function

Reference 3

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This paper cites Cerezo, A.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Cerezo, A

Reference 4

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This paper cites Naturally, one may worry that our choice of graph features does not completely capture the graph struc- ture.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Naturally, one may worry that our choice of graph features does not completely capture the graph struc- ture

Reference 5

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Observation ec4214a3-7261-4290-87b2-c5e0c094938b · outbound

This paper cites cragged terrain.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models cragged terrain

Reference 6

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Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Unresolved cited work

Reference 7

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Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Unresolved cited work

Reference 8

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This paper cites Variational Quantum Algorithms.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Variational Quantum Algorithms

Reference 9

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Observation 85a30a5d-da55-4a5e-8790-e987ebd58c28 · outbound

This paper cites Barren Plateaus in Variational Quantum Computing.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Barren Plateaus in Variational Quantum Computing

Reference 10

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Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Unresolved cited work

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Observation 8e09bb73-18a3-4a08-a3c3-6a42382d8044 · outbound

This paper cites Leyton-Brown, E.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Leyton-Brown, E

Reference 12

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Observation 52a08a0e-6432-400b-9a3f-b6ca255a7da2 · outbound

This paper cites Ragone, B.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Ragone, B

Reference 13

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Observation 4d97f203-884e-4b64-8207-a66e1ef24d4a · outbound

This paper cites The Adjoint Is All You Need: Characterizing Barren Plateaus in Quantum Ans\"atze.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models The Adjoint Is All You Need: Characterizing Barren Plateaus in Quantum Ans\"atze

Reference 14

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This paper cites Showcasing a Barren Plateau Theory Beyond the Dynamical Lie Algebra.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Showcasing a Barren Plateau Theory Beyond the Dynamical Lie Algebra

Reference 15

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This paper cites A Unified Theory of Quantum Neural Network Loss Landscapes.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models A Unified Theory of Quantum Neural Network Loss Landscapes

Reference 16

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Observation bdf2b4f2-d960-49c7-8d76-35d0f6965b45 · outbound

This paper cites Larocca, P.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Larocca, P

Reference 17

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Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Unresolved cited work

Reference 18

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Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Unresolved cited work

Reference 19

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Observation 341282c3-a458-4a9a-8a77-75d376a77cb1 · outbound

This paper cites Arrasmith, Z.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Arrasmith, Z

Reference 20

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Observation c35f29ae-5147-4436-bb4a-892972d5a3b3 · outbound

This paper cites Leyton-Brown, H.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Leyton-Brown, H

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T00:10:35.547091Z

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Observation 30e867b1-0ea0-4b95-a1eb-3b6db918b779 · outbound

This paper cites A Quantum Approximate Optimization Algorithm.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models A Quantum Approximate Optimization Algorithm

Reference 22

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Observation 150761c1-e980-4a83-b19e-cdb0f1ebfec6 · outbound

This paper cites Iterative Quantum Algorithms for Maximum Independent Set: A Tale of Low-Depth Quantum Algorithms.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Iterative Quantum Algorithms for Maximum Independent Set: A Tale of Low-Depth Quantum Algorithms

Reference 23

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Observation c3b3d90d-c766-4138-9661-b35a44548eb4 · outbound

This paper cites A Maximum Independent Set Method for Scheduling Earth Observing Satellite Constellations.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models A Maximum Independent Set Method for Scheduling Earth Observing Satellite Constellations

Reference 24

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Observation d25e7b15-f697-4414-9fed-4fcf1a6c688e · outbound

This paper cites Yao and Y.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Yao and Y

Reference 25

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Observation b93ca4e9-da7b-4ed3-a4fc-c1e5235eb632 · outbound

This paper cites Kashif, M.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Kashif, M

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T00:10:35.537848Z

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Observation 93c26d2a-84b2-4a98-9c74-bbfb7cb9ac8f · outbound

This paper cites A Tutorial on Formulating and Using QUBO Models.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models A Tutorial on Formulating and Using QUBO Models

Reference 27

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Observation f24256e0-e222-4bb6-bd06-74c73f8eee55 · outbound

This paper cites Ramos-Ruiz, A.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Ramos-Ruiz, A

Reference 28

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Observation 04197b3f-671d-4a85-ab8a-7c4d1e218614 · outbound

This paper cites Near-linear constructions of exact unitary 2-designs.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Near-linear constructions of exact unitary 2-designs

Reference 29

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Observation 503cb672-dc28-419b-8974-971d19e50816 · outbound

This paper cites On the dynamical Lie algebras of quantum approximate optimization algorithms.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models On the dynamical Lie algebras of quantum approximate optimization algorithms

Reference 30

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Observation 08e91bf2-8cbf-43ce-a008-5860ca6a9fcc · outbound

This paper cites Classification of dynamical Lie algebras for translation-invariant 2-local spin systems in one dimension.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Classification of dynamical Lie algebras for translation-invariant 2-local spin systems in one dimension

Reference 31

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Observation b5d0e131-23a3-4866-b6bb-ad24254f2289 · outbound

This paper cites Krylov-Lie Algebras for Variational Quantum Algorithms: Geometric, Depth-Aware Insights into Expressivity and Trainability.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Krylov-Lie Algebras for Variational Quantum Algorithms: Geometric, Depth-Aware Insights into Expressivity and Trainability

Reference 32

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Observation 4c57b492-d7c5-441b-b787-22dcea86d782 · outbound

This paper cites Volkoff and P.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Volkoff and P

Reference 33

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Observation 1e111daa-efc2-4c67-91cd-55e27e81d10f · outbound

This paper cites Sohrabizadeh, W.-H.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Sohrabizadeh, W.-H

Reference 34

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Observation bb29d7db-81d6-409b-9e71-80343291b662 · outbound

This paper cites Performance of the Quantum Approximate Optimization Algorithm on the Maximum Cut Problem.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Performance of the Quantum Approximate Optimization Algorithm on the Maximum Cut Problem

Reference 35

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Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Unresolved cited work

Reference 36

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Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Unresolved cited work

Reference 37

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Observation ae88d393-604e-46e4-89fc-e69e614610f4 · outbound

This paper cites Benchmarking Swarm Optimization Algorithms for Parameter Initialization in the Quantum Approximate Optimization Algorithm.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Benchmarking Swarm Optimization Algorithms for Parameter Initialization in the Quantum Approximate Optimization Algorithm

Reference 38

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Observation 7c233211-8cd2-49d9-8418-30c9a4a40a2d · outbound

This paper cites Pisanski, D.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Pisanski, D

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T00:10:35.497261Z

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Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Unresolved cited work

Reference 40

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Observation 063bd296-2840-4ba4-b5e8-a2a6f392a10c · outbound

This paper cites Identifying hard native instances for the maximum independent set problem on neutral atoms quantum processors.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Identifying hard native instances for the maximum independent set problem on neutral atoms quantum processors

Reference 41

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Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Unresolved cited work

Reference 42

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Observation fa352e1d-0f1b-4182-bebb-555aade770c2 · outbound

This paper cites Lykov, R.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Lykov, R

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T00:10:35.480913Z

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Observation 6f6d62a9-a1bb-4a98-b3ba-16661ca20274 · outbound

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Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-08T00:10:35.472371Z

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Observation ab37da75-69f2-4b85-bd53-f9fb7b3957b1 · outbound

This paper cites Halla, Modified conjugate quantum natural gradient (2025), arXiv:2501.05847.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Halla, Modified conjugate quantum natural gradient (2025), arXiv:2501.05847

Reference 45

Resolution: verified exact; raw_fallback, observed 2026-08-08T00:10:34.937512Z

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Observation 0474e116-3838-4082-8fe0-0a2541945082 · outbound

This paper cites Nocedal and S.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Nocedal and S

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T00:10:35.463851Z

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Observation 06d8270a-ccf8-4780-bf7b-27df290f87e4 · outbound

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Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Unresolved cited work

Reference 47

Resolution: unresolved; raw_fallback, observed 2026-08-08T00:10:35.455006Z

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Observation 787d65e8-4514-46f3-9af0-c1a5fdc08450 · outbound

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Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models A Random Forest Guided Tour

Reference 48

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Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Akiba, S

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T00:10:35.446115Z

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Observation e50752f9-9de4-49dc-96d3-9f5ff45966ca · outbound

This paper cites an unresolved cited work.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Unresolved cited work

Reference 50

Resolution: unresolved; raw_fallback, observed 2026-08-08T00:10:35.436435Z

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Observation 9e76c2de-2cec-404a-a64c-a48e22ecb31c · outbound

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Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Unresolved cited work

Reference 51

Resolution: unresolved; raw_fallback, observed 2026-08-08T00:10:35.427645Z

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Observation ddae7c0a-ef68-4c65-babb-3b0f53892f08 · outbound

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Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Graph Neural Networks Use Graphs When They Shouldn't

Reference 52

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Observation 05532c7c-7428-48db-b972-4f3f860402cc · outbound

This paper cites an unresolved cited work.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Unresolved cited work

Reference 53

Resolution: unresolved; raw_fallback, observed 2026-08-08T00:10:35.418928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9a2eac0a-f1e5-430c-bb1d-f23eca018df9 · outbound

This paper cites Erdos and A.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Erdos and A

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T00:10:35.409238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d15585bd-4ed7-4b18-a68a-37086834367c · outbound

This paper cites Watts and S.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Watts and S

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T00:10:35.399449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 14923640-8318-41c8-806e-b2cbc056cd89 · outbound

This paper cites Barab´ asi and R.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Barab´ asi and R

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-08T00:10:34.755024Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb98a66e-3e70-4512-985d-54143d61e71d · outbound

This paper cites Braunstein, S.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models Braunstein, S

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T00:10:35.389397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 89e6d6d9-95c0-46cd-9b66-3746c403cad7 · outbound

This paper cites F ramework The main result of Ragone et al.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models F ramework The main result of Ragone et al

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T00:10:35.380791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ae5187b4-9412-4029-aee1-8fde79e3bd05 · outbound

This paper cites TheBarab´ asi-Albertmodel uses preferential at- tachment to generate scale-free graphs with power-law degree distributions [48].

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models TheBarab´ asi-Albertmodel uses preferential at- tachment to generate scale-free graphs with power-law degree distributions [48]

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T00:10:35.372582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 34286786-496f-4d12-9d3d-15da751c856f · outbound

This paper cites TheHaemers bound[34] on the independence num- ber isα(G)≤ −nλ1λn/(d2 min −λ 1λn), whereλ 1 ≥ · · · ≥ λn are adjacency eigenvalues andd min is the minimum degree.

Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models TheHaemers bound[34] on the independence num- ber isα(G)≤ −nλ1λn/(d2 min −λ 1λn), whereλ 1 ≥ · · · ≥ λn are adjacency eigenvalues andd min is the minimum degree

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T00:10:35.245473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Coverage vector

Reference resolution

Outbound references

Pith citing papers