Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-04T19:55:13.495615Z
Paper Citation Record · LEDGER
Generative quantum advantage for classical and quantum problems
As of 15 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 13 inbound Pith citation observations for arXiv:2509.09033.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-03T01:33:05.230724Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-01T15:25:48.683365Z
Reference resolution
46 of 46 outbound references displayed
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- unresolved46
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 33850dc5-d3ff-44ee-8e40-2ed453777ec5 · outbound
This paper cites an unresolved cited work.
Generative quantum advantage for classical and quantum problems Unresolved cited work
Reference 1
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- no resolver link, observed 2026-08-04T19:55:13.016944Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ab0ad83b-1c02-4e69-a8d8-12a097df54f9 · outbound
This paper cites an unresolved cited work.
Generative quantum advantage for classical and quantum problems Unresolved cited work
Reference 2
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Unavailable: canonical work link unavailable.
Observation 6f9a425a-82b1-4a91-87f3-026f64c96875 · outbound
This paper cites The measurement collapses the state to a product state|𝜑ℓ⟩= ⨂︀𝑛 𝑖=1|𝜑ℓ,𝑖⟩.
Generative quantum advantage for classical and quantum problems The measurement collapses the state to a product state|𝜑ℓ⟩= ⨂︀𝑛 𝑖=1|𝜑ℓ,𝑖⟩
Reference 3
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5cdc4e2b-6232-497b-9062-072d7be4df61 · outbound
This paper cites an unresolved cited work.
Generative quantum advantage for classical and quantum problems Unresolved cited work
Reference 4
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Observation e5eba01c-f1d6-4d4e-99c1-75ac8f188b23 · outbound
This paper cites an unresolved cited work.
Generative quantum advantage for classical and quantum problems Unresolved cited work
Reference 5
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Observation c4b2c791-ef30-4c3f-84e6-f0cfd149d317 · outbound
This paper cites an unresolved cited work.
Generative quantum advantage for classical and quantum problems Unresolved cited work
Reference 6
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Unavailable: canonical work link unavailable.
Observation db267170-aa0c-42db-84c0-aff66d7babac · outbound
This paper cites an unresolved cited work.
Generative quantum advantage for classical and quantum problems Unresolved cited work
Reference 7
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5b27a739-28f3-4431-8e10-e744f73d82b8 · outbound
This paper cites barren plateau problem.
Generative quantum advantage for classical and quantum problems barren plateau problem
Reference 8
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Source-reported events for the cited work
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Observation 6886461b-2241-40c1-a0e6-5a83f8e50fc2 · outbound
This paper cites an unresolved cited work.
Generative quantum advantage for classical and quantum problems Unresolved cited work
Reference 9
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Observation 85d6e3f7-a8ea-44a8-a472-bdee90b245a4 · outbound
This paper cites Proof.These properties follow directly from strong convexity: strictly convex functions have a unique global mini- mizer, and any stationary point must be this minimum.
Generative quantum advantage for classical and quantum problems Proof.These properties follow directly from strong convexity: strictly convex functions have a unique global mini- mizer, and any stationary point must be this minimum
Reference 10
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Unavailable: canonical work link unavailable.
Observation 54265a13-7877-4541-b4a3-dff2ec8a05d2 · outbound
This paper cites an unresolved cited work.
Generative quantum advantage for classical and quantum problems Unresolved cited work
Reference 11
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Observation a3a3f644-387b-4ac2-b995-77cdf49d05ea · outbound
This paper cites an unresolved cited work.
Generative quantum advantage for classical and quantum problems Unresolved cited work
Reference 12
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a2755591-bd12-4071-9cae-c7b82958c285 · outbound
This paper cites The QNN generates an𝑚-bit string𝑦∈{0,1} 𝑚 according to a distribution𝑝QNN(𝑦|𝑥; ⃗𝜃)that depends on the input bitstring𝑥∈{0,1} 𝑛 and the trainable circuit parameters⃗𝜃.
Generative quantum advantage for classical and quantum problems The QNN generates an𝑚-bit string𝑦∈{0,1} 𝑚 according to a distribution𝑝QNN(𝑦|𝑥; ⃗𝜃)that depends on the input bitstring𝑥∈{0,1} 𝑛 and the trainable circuit parameters⃗𝜃
Reference 13
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Observation f159ee7c-5714-447b-9e12-fac8542012cb · outbound
This paper cites an unresolved cited work.
Generative quantum advantage for classical and quantum problems Unresolved cited work
Reference 14
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Observation f39cac8f-438b-4212-b4c4-8a3145c43c46 · outbound
This paper cites an unresolved cited work.
Generative quantum advantage for classical and quantum problems Unresolved cited work
Reference 15
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Observation eadf3c41-6bdb-4aee-9da6-30ea19f3df20 · outbound
This paper cites an unresolved cited work.
Generative quantum advantage for classical and quantum problems Unresolved cited work
Reference 16
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Unavailable: canonical work link unavailable.
Observation 1e46db79-bbe6-4819-89ca-463862dfa240 · outbound
This paper cites This quantum circuit is shallow with𝒪(1)circuit depth regardless of the number of qubits.
Generative quantum advantage for classical and quantum problems This quantum circuit is shallow with𝒪(1)circuit depth regardless of the number of qubits
Reference 17
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Observation bff5b07d-76f9-4408-85be-888e83bd1cd2 · outbound
This paper cites ·𝑛𝐷)-qubit state|𝜑⟩to be the product state given by𝑥restricted to the coordinates (1, 𝑖2,.
Generative quantum advantage for classical and quantum problems ·𝑛𝐷)-qubit state|𝜑⟩to be the product state given by𝑥restricted to the coordinates (1, 𝑖2,
Reference 18
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 01a105e3-cd30-488e-b00d-564376cc5d75 · outbound
This paper cites This parameter indexes both the first coordinate of the shallow quantum circuit and the circuit layer of the corresponding deep quantum circuit.
Generative quantum advantage for classical and quantum problems This parameter indexes both the first coordinate of the shallow quantum circuit and the circuit layer of the corresponding deep quantum circuit
Reference 19
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Observation 6de8f7dc-499f-463b-b1a5-74d8cb6cf42b · outbound
This paper cites , 𝑖𝐷)with rotation angles𝜃(𝑖1,𝑖2,...,𝑖𝐷) determined by the QNN, for all𝑖2,.
Generative quantum advantage for classical and quantum problems , 𝑖𝐷)with rotation angles𝜃(𝑖1,𝑖2,...,𝑖𝐷) determined by the QNN, for all𝑖2,
Reference 20
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Unavailable: canonical work link unavailable.
Observation 0fa6da35-3afd-499f-a1f2-1a96ab40a743 · outbound
This paper cites , 𝑖𝐷)and(𝑖 1, 𝑖′ 2,.
Generative quantum advantage for classical and quantum problems , 𝑖𝐷)and(𝑖 1, 𝑖′ 2,
Reference 21
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Observation 8725b265-dbb8-4dd3-a7f8-85f330297eba · outbound
This paper cites , 𝑖𝐷)for all𝑖 2,.
Generative quantum advantage for classical and quantum problems , 𝑖𝐷)for all𝑖 2,
Reference 22
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Observation 4db672f6-c8d6-4e94-89dd-c02af810df86 · outbound
This paper cites , 𝑖𝐷)for all𝑖 2,.
Generative quantum advantage for classical and quantum problems , 𝑖𝐷)for all𝑖 2,
Reference 23
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Unavailable: canonical work link unavailable.
Observation 44411cf1-b5ee-4427-9c8a-a9a07565936a · outbound
This paper cites , 𝑖𝐷)is a component of|𝜑 (𝑖1)⟩, |𝜑(𝑖1)⟩=|0⟩⊗| ̃︀𝜑(𝑖1) 0 ⟩+|1⟩⊗| ̃︀𝜑(𝑖1) 1 ⟩,(S.2.2) for some unnormalized states|̃︀𝜑(𝑖1) 0 ⟩,| ̃︀𝜑(𝑖1) 1 ⟩.
Generative quantum advantage for classical and quantum problems , 𝑖𝐷)is a component of|𝜑 (𝑖1)⟩, |𝜑(𝑖1)⟩=|0⟩⊗| ̃︀𝜑(𝑖1) 0 ⟩+|1⟩⊗| ̃︀𝜑(𝑖1) 1 ⟩,(S.2.2) for some unnormalized states|̃︀𝜑(𝑖1) 0 ⟩,| ̃︀𝜑(𝑖1) 1 ⟩
Reference 24
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Unavailable: canonical work link unavailable.
Observation 1e3797b0-a799-43b4-9b95-245729c91513 · outbound
This paper cites , 𝑖𝐷)is initialized to|+⟩= 1√ 2(|0⟩+|1⟩)as specified by the condition on the input bit𝑥(𝑖1+1,𝑖2,...,𝑖𝐷) = 0.
Generative quantum advantage for classical and quantum problems , 𝑖𝐷)is initialized to|+⟩= 1√ 2(|0⟩+|1⟩)as specified by the condition on the input bit𝑥(𝑖1+1,𝑖2,...,𝑖𝐷) = 0
Reference 25
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Unavailable: canonical work link unavailable.
Observation 3b7c433d-343c-4c35-bf1d-2476d8f07374 · outbound
This paper cites an unresolved cited work.
Generative quantum advantage for classical and quantum problems Unresolved cited work
Reference 26
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Observation b681a1ec-5a2a-44db-afe8-0e80a17a60c0 · outbound
This paper cites an unresolved cited work.
Generative quantum advantage for classical and quantum problems Unresolved cited work
Reference 27
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Unavailable: canonical work link unavailable.
Observation 8b894cd8-1bb0-4bb5-8066-86b8ad5fb3a0 · outbound
This paper cites an unresolved cited work.
Generative quantum advantage for classical and quantum problems Unresolved cited work
Reference 28
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Unavailable: canonical work link unavailable.
Observation 8d1379e6-e79c-4b55-a8a9-bb6da0debcc9 · outbound
This paper cites , 𝑖𝐷)-th qubit of|𝜑⟩if𝑦 (𝑖1,𝑖2,...,𝑖𝐷) = 1maps the state to|0⟩⊗ | ̃︀𝜑(𝑖1) 0 ⟩+|1⟩⊗| ̃︀𝜑(𝑖1) 1 ⟩=|𝜑 (𝑖1)⟩in both cases of𝑦 (𝑖1,𝑖2,...,𝑖𝐷).
Generative quantum advantage for classical and quantum problems , 𝑖𝐷)-th qubit of|𝜑⟩if𝑦 (𝑖1,𝑖2,...,𝑖𝐷) = 1maps the state to|0⟩⊗ | ̃︀𝜑(𝑖1) 0 ⟩+|1⟩⊗| ̃︀𝜑(𝑖1) 1 ⟩=|𝜑 (𝑖1)⟩in both cases of𝑦 (𝑖1,𝑖2,...,𝑖𝐷)
Reference 29
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Unavailable: canonical work link unavailable.
Observation 4ee854c6-f622-480f-84a3-4064b2aee6c9 · outbound
This paper cites , 𝑖𝐷)is initialized to|0⟩.
Generative quantum advantage for classical and quantum problems , 𝑖𝐷)is initialized to|0⟩
Reference 30
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Observation a56fd203-8caa-45a7-9dc8-b51fd2c50264 · outbound
This paper cites an unresolved cited work.
Generative quantum advantage for classical and quantum problems Unresolved cited work
Reference 31
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7a483256-eea9-4240-8e8b-cadf0109e9b4 · outbound
This paper cites , 𝑖𝐷)in the𝑋basis is equivalent to measuring the qubit at position(𝑖 2,.
Generative quantum advantage for classical and quantum problems , 𝑖𝐷)in the𝑋basis is equivalent to measuring the qubit at position(𝑖 2,
Reference 32
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 463d686a-3890-4bef-a6b4-66f36a41e626 · outbound
This paper cites , 𝑖𝐷)in the state|𝜑 (𝑖1)⟩to|0⟩.
Generative quantum advantage for classical and quantum problems , 𝑖𝐷)in the state|𝜑 (𝑖1)⟩to|0⟩
Reference 33
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation baa54f1d-476a-49d7-b405-ef6122b8f160 · outbound
This paper cites an unresolved cited work.
Generative quantum advantage for classical and quantum problems Unresolved cited work
Reference 34
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8ff473b9-8dd1-43d3-8e6b-305136bcc7e3 · outbound
This paper cites an unresolved cited work.
Generative quantum advantage for classical and quantum problems Unresolved cited work
Reference 35
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7c32ac99-57e9-43a8-aedf-c5e39b782a2d · outbound
This paper cites 45 By induction, after all𝑛1 layers, the final state|𝜑(𝑛1)⟩is the same as the state after all𝑛1 layers of the deep QNN.
Generative quantum advantage for classical and quantum problems 45 By induction, after all𝑛1 layers, the final state|𝜑(𝑛1)⟩is the same as the state after all𝑛1 layers of the deep QNN
Reference 36
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ba083d06-4321-41fd-a1cc-3792e7206ff3 · outbound
This paper cites an unresolved cited work.
Generative quantum advantage for classical and quantum problems Unresolved cited work
Reference 37
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1c855eb3-e727-4fdd-92a2-3dcc155edd9e · outbound
This paper cites an unresolved cited work.
Generative quantum advantage for classical and quantum problems Unresolved cited work
Reference 38
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 70a24c0c-d9fd-4973-a3e0-d631e9e18718 · outbound
This paper cites We now define the family of deep quantum circuits, which corresponds to injecting different patterns of single- qubit𝑍gates in each round of the circuit layers.
Generative quantum advantage for classical and quantum problems We now define the family of deep quantum circuits, which corresponds to injecting different patterns of single- qubit𝑍gates in each round of the circuit layers
Reference 39
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9e749b2b-cb07-470d-a769-9b11a6deee15 · outbound
This paper cites an unresolved cited work.
Generative quantum advantage for classical and quantum problems Unresolved cited work
Reference 40
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2133bcbe-fc9f-4952-b8ab-513b33791330 · outbound
This paper cites an unresolved cited work.
Generative quantum advantage for classical and quantum problems Unresolved cited work
Reference 41
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 895fa443-4fca-4b6f-9aaa-ff825f877b43 · outbound
This paper cites an unresolved cited work.
Generative quantum advantage for classical and quantum problems Unresolved cited work
Reference 42
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation efbb5d81-7e51-4179-97b4-3510eeb9886c · outbound
This paper cites an unresolved cited work.
Generative quantum advantage for classical and quantum problems Unresolved cited work
Reference 43
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a3f6b516-f63d-4565-b09a-ac492d72c79d · outbound
This paper cites an unresolved cited work.
Generative quantum advantage for classical and quantum problems Unresolved cited work
Reference 44
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8c17b8f9-3418-4f8c-b4dd-5c68fac4c3ef · outbound
This paper cites an unresolved cited work.
Generative quantum advantage for classical and quantum problems Unresolved cited work
Reference 45
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 61aebb79-7d4b-42f5-9124-4805660c2c79 · outbound
This paper cites This quantum circuit is shallow with𝒪(1)circuit depth regardless of the number of qubits.
Generative quantum advantage for classical and quantum problems This quantum circuit is shallow with𝒪(1)circuit depth regardless of the number of qubits
Reference 46
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- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation 6f88a7b7-5b3f-4fb7-b817-77fb7a95b0e0 · inbound
Scaling Quantum Machine Learning without Tricks: Full-Resolution and Diverse Image Generation cites this paper.
Scaling Quantum Machine Learning without Tricks: Full-Resolution and Diverse Image Generation Generative quantum advantage for classical and quantum problems
Reference 16
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- unresolved
- no resolver link, observed 2026-08-02T20:03:56.914012Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2cc8b62c-24d1-4f6a-88d7-19ba3cffcae4 · inbound
Toward Generative Quantum Utility via Correlation-Complexity Map cites this paper.
Toward Generative Quantum Utility via Correlation-Complexity Map Generative quantum advantage for classical and quantum problems
Reference 18
- Resolution
- verified exact
- arxiv_id, observed 2026-05-15T15:06:09.799486Z
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 b82d8f48-c44c-429d-809f-9a0270309154 · inbound
Spectral methods: crucial for machine learning, natural for quantum computers? cites this paper.
Spectral methods: crucial for machine learning, natural for quantum computers? Generative quantum advantage for classical and quantum problems
Reference 25
- Resolution
- verified exact
- arxiv_id, observed 2026-05-15T00:23:22.301165Z
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 21ee4277-ba0c-40f6-9683-27ea98f6ba54 · inbound
Exponential quantum advantage in processing massive classical data cites this paper.
Exponential quantum advantage in processing massive classical data Generative quantum advantage for classical and quantum problems
Reference 28
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-11T07:26:00.212876Z
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 7206dce5-9a13-47fb-bd83-90d0c2be3eb5 · inbound
Minimizing classical resources in variational measurement-based quantum computation for generative modeling cites this paper.
Minimizing classical resources in variational measurement-based quantum computation for generative modeling Generative quantum advantage for classical and quantum problems
Reference 16
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T09:41:02.429198Z
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 f39e7f0c-5b49-4fe0-9f24-5c5be6b90b5b · inbound
Quantum computation at the edge of chaos cites this paper.
Quantum computation at the edge of chaos Generative quantum advantage for classical and quantum problems
Reference 37
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T10:44:37.561291Z
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 3ff8c969-8b69-48dd-85fe-ec597f7ab1dc · inbound
Adversarial Effects on Expressibility and Trainability in Distributed Variational Quantum Algorithms cites this paper.
Adversarial Effects on Expressibility and Trainability in Distributed Variational Quantum Algorithms Generative quantum advantage for classical and quantum problems
Reference 21
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-12T11:01:30.333018Z
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 984a68ad-a711-4779-b51e-e4fb9be4f0a8 · inbound
Gated QKAN-FWP: Scalable Quantum-inspired Sequence Learning cites this paper.
Gated QKAN-FWP: Scalable Quantum-inspired Sequence Learning Generative quantum advantage for classical and quantum problems
Reference 43
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-11T04:00:56.375108Z
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 9daea9a7-845e-48f7-99ed-5b286a157316 · inbound
Software Between Quantum and Machine Learning -- And Down to Pulses cites this paper.
Software Between Quantum and Machine Learning -- And Down to Pulses Generative quantum advantage for classical and quantum problems
Reference 7
- Resolution
- malformed identifier
- arxiv_id, observed 2026-05-21T04:34:34.446769Z
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 6538e2c2-1271-4f97-bcdf-8b14a59ea532 · inbound
Software Between Quantum and Machine Learning -- And Down to Pulses cites this paper.
Software Between Quantum and Machine Learning -- And Down to Pulses Generative quantum advantage for classical and quantum problems
Reference 7
- Resolution
- malformed identifier
- arxiv_id, observed 2026-07-01T15:05:48.469496Z
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 ccd04b27-c16c-494e-9ce4-e9162b3da90c · inbound
Quantum Fourier Generative Models Trainable at Large Scale cites this paper.
Quantum Fourier Generative Models Trainable at Large Scale Generative quantum advantage for classical and quantum problems
Reference 12
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T15:25:48.685455Z
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 8eb6862d-5715-481a-aa90-9a8331357348 · inbound
Lie Group Diffusion Models for Hardware-Aware Quantum Circuit Synthesis cites this paper.
Lie Group Diffusion Models for Hardware-Aware Quantum Circuit Synthesis Generative quantum advantage for classical and quantum problems
Reference 19
- Resolution
- verified exact
- arxiv_id, observed 2026-06-30T07:04:21.187955Z
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 21ac2674-2a41-49b7-9862-969431a638d7 · inbound
Generative IQP Circuit Learning with Physics-Informed Latent Initialization cites this paper.
Generative IQP Circuit Learning with Physics-Informed Latent Initialization Generative quantum advantage for classical and quantum problems
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T01:33:05.230724Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.