Paper Citation Record · LEDGER

Quantum Optimization via Gradient-Based Hamiltonian Descent

As of 14 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 2 inbound Pith citation observations for arXiv:2505.14670.

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

pith.paper-citation-record.v1
2505.14670 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:36:04.753388Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:48:53.132391Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T13:00:24.502066Z

Reference resolution

41 of 41 outbound references displayed

verified exact2
verified fuzzy23
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 76039ded-b29f-4be1-91de-6f92bc28de01 · outbound

This paper cites write newline.

Quantum Optimization via Gradient-Based Hamiltonian Descent write newline

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T15:36:00.709616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5f679df-d379-4fd1-81b8-7eda45ce0dd9 · outbound

This paper cites and Sra, S.

Quantum Optimization via Gradient-Based Hamiltonian Descent and Sra, S

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:36:05.742231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1dcb2ef8-5c17-4b9c-adbc-8314c6445293 · outbound

This paper cites Time-dependent unbounded hamiltonian simulation with vector norm scaling.

Quantum Optimization via Gradient-Based Hamiltonian Descent Time-dependent unbounded hamiltonian simulation with vector norm scaling

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:36:05.725347Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3f9dc9a6-8abf-46d8-af5e-5e607851a6e2 · outbound

This paper cites Time-dependent hamiltonian simulation of highly oscillatory dynamics and superconvergence for schr \"o dinger equation.

Quantum Optimization via Gradient-Based Hamiltonian Descent Time-dependent hamiltonian simulation of highly oscillatory dynamics and superconvergence for schr \"o dinger equation

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:36:05.708320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c66dc0dd-8f9e-477f-8e4e-fd24dbbe26dd · outbound

This paper cites A quantum central path algorithm for linear optimization.

Quantum Optimization via Gradient-Based Hamiltonian Descent A quantum central path algorithm for linear optimization

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T15:36:01.072923Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a0432b2-cdd9-4423-8a5f-1e8840ccd0bc · outbound

This paper cites W., Childs, A.

Quantum Optimization via Gradient-Based Hamiltonian Descent W., Childs, A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:36:05.692199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c8255a1e-3511-407c-809c-e7a1e4395cf5 · outbound

This paper cites On Symplectic Optimization.

Quantum Optimization via Gradient-Based Hamiltonian Descent On Symplectic Optimization

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T15:36:01.322437Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 93c9c5ff-df1b-4d2b-afa0-243d1926acff · outbound

This paper cites Quantum Langevin Dynamics for Optimization.

Quantum Optimization via Gradient-Based Hamiltonian Descent Quantum Langevin Dynamics for Optimization

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T15:36:01.404447Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 604f2e80-24b9-4856-b221-34beea193e1d · outbound

This paper cites Quantum hamiltonian descent for graph partition.

Quantum Optimization via Gradient-Based Hamiltonian Descent Quantum hamiltonian descent for graph partition

Reference 9

Resolution: verified exact; raw_fallback, observed 2026-08-07T15:36:05.209063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ad1d1756-b03e-435b-a3b9-52ffc84a9fde · outbound

This paper cites M., Su, Y., Tran, M.

Quantum Optimization via Gradient-Based Hamiltonian Descent M., Su, Y., Tran, M

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:36:05.675476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4888851b-2e20-44cd-bcd8-f646f419d236 · outbound

This paper cites M., Leng, J., Li, T., Liu, J.-P., and Zhang, C.

Quantum Optimization via Gradient-Based Hamiltonian Descent M., Leng, J., Li, T., Liu, J.-P., and Zhang, C

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:36:05.659140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 494fa924-1904-4415-8be1-84643f8c1fac · outbound

This paper cites Optimizing quantum optimization algorithms via faster quantum gradient computation.

Quantum Optimization via Gradient-Based Hamiltonian Descent Optimizing quantum optimization algorithms via faster quantum gradient computation

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:36:05.643550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b751436c-b255-49a9-a43b-6a0dbe4b6585 · outbound

This paper cites H., and Wiebe, N.

Quantum Optimization via Gradient-Based Hamiltonian Descent H., and Wiebe, N

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:36:05.627754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 62fb5751-75d8-4396-9c8b-0dfe3edf0ce3 · outbound

This paper cites and Boyd, S.

Quantum Optimization via Gradient-Based Hamiltonian Descent and Boyd, S

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:36:05.611487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 75b0b3f7-4da4-4cb9-b2db-1378c09c5002 · outbound

This paper cites Riemannian accelerated gradient methods via extrapolation.

Quantum Optimization via Gradient-Based Hamiltonian Descent Riemannian accelerated gradient methods via extrapolation

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:36:05.592814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f21eb6a6-a4db-4f5f-b25d-203b1907c5e4 · outbound

This paper cites an unresolved cited work.

Quantum Optimization via Gradient-Based Hamiltonian Descent Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:36:05.576293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 89427f7f-75b9-48a4-9466-be3cb7cd088f · outbound

This paper cites and Prakash, A.

Quantum Optimization via Gradient-Based Hamiltonian Descent and Prakash, A

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:36:05.558856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bafbfbef-6e75-447e-9234-72ca016dc961 · outbound

This paper cites Quantitative Convergences of Lie Group Momentum Optimizers.

Quantum Optimization via Gradient-Based Hamiltonian Descent Quantitative Convergences of Lie Group Momentum Optimizers

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:36:05.114310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f89d695d-fd14-4ec4-8e5a-67e48fa8f684 · outbound

This paper cites an unresolved cited work.

Quantum Optimization via Gradient-Based Hamiltonian Descent Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:36:05.543320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 56424c60-0bbd-4b0a-863d-34f8f005b2ee · outbound

This paper cites Qhdopt: A software for nonlinear optimization with quantum hamiltonian descent.

Quantum Optimization via Gradient-Based Hamiltonian Descent Qhdopt: A software for nonlinear optimization with quantum hamiltonian descent

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:36:05.527936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5c66d8fc-e4c5-41df-89ec-0810165fdc74 · outbound

This paper cites Quantum Hamiltonian Descent.

Quantum Optimization via Gradient-Based Hamiltonian Descent Quantum Hamiltonian Descent

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T15:36:02.717613Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d28d387d-c624-4577-ac58-86b0c9c46b7c · outbound

This paper cites A quantum-classical performance separation in nonconvex optimization.

Quantum Optimization via Gradient-Based Hamiltonian Descent A quantum-classical performance separation in nonconvex optimization

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T15:36:02.835345Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 32af7f5f-419d-4348-b2a1-46d271429a23 · outbound

This paper cites Expanding hardware-efficiently manipulable hilbert space via hamiltonian embedding.

Quantum Optimization via Gradient-Based Hamiltonian Descent Expanding hardware-efficiently manipulable hilbert space via hamiltonian embedding

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T15:36:02.926635Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72bbbb5d-7ce2-4e40-ac99-429ccc7cbff8 · outbound

This paper cites Analysis and design of optimization algorithms via integral quadratic constraints.

Quantum Optimization via Gradient-Based Hamiltonian Descent Analysis and design of optimization algorithms via integral quadratic constraints

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T15:36:03.005760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c13ef2a4-b3db-4045-a1ae-b920ccd96e48 · outbound

This paper cites On efficient quantum block encoding of pseudo-differential operators.

Quantum Optimization via Gradient-Based Hamiltonian Descent On efficient quantum block encoding of pseudo-differential operators

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:36:05.502137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ca3fe092-03ce-4078-8854-2fbf52cc1696 · outbound

This paper cites On efficient optimal transport: An analysis of greedy and accelerated mirror descent algorithms.

Quantum Optimization via Gradient-Based Hamiltonian Descent On efficient optimal transport: An analysis of greedy and accelerated mirror descent algorithms

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:36:05.486932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b4d11266-3271-48ad-b36e-bd64a9c73902 · outbound

This paper cites Towards provably efficient quantum algorithms for large-scale machine-learning models.

Quantum Optimization via Gradient-Based Hamiltonian Descent Towards provably efficient quantum algorithms for large-scale machine-learning models

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:36:05.469964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation fddeb699-c29a-4069-be72-4b616cffd89a · outbound

This paper cites J., and Li, T.

Quantum Optimization via Gradient-Based Hamiltonian Descent J., and Li, T

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:36:05.452525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 024602f5-d031-4af4-b652-b620033c59b9 · outbound

This paper cites N., and Fujii, K.

Quantum Optimization via Gradient-Based Hamiltonian Descent N., and Fujii, K

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T15:36:03.502199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad5dd860-34e8-4f8a-a887-a37375fecded · outbound

This paper cites A method for solving the convex programming problem with convergence rate o (1/k2).

Quantum Optimization via Gradient-Based Hamiltonian Descent A method for solving the convex programming problem with convergence rate o (1/k2)

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:36:05.433969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4f67650e-6c61-4920-a8d3-81b2b0f6f8b1 · outbound

This paper cites and Candes, E.

Quantum Optimization via Gradient-Based Hamiltonian Descent and Candes, E

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:36:05.418163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b85f2800-1f2b-4dd2-800e-72ea92370089 · outbound

This paper cites Quantum gradient descent and newton’s method for constrained polynomial optimization.

Quantum Optimization via Gradient-Based Hamiltonian Descent Quantum gradient descent and newton’s method for constrained polynomial optimization

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:36:05.402277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 46a28b58-f9bd-4371-b04f-dc0da3a2f11f · outbound

This paper cites On the hyperparameters in stochastic gradient descent with momentum.

Quantum Optimization via Gradient-Based Hamiltonian Descent On the hyperparameters in stochastic gradient descent with momentum

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:36:05.386394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 49e4e255-d99a-4a60-a3b2-7fcf67892bec · outbound

This paper cites S., Jordan, M.

Quantum Optimization via Gradient-Based Hamiltonian Descent S., Jordan, M

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-07T15:36:04.074863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 82bc84c4-107e-4985-8f5a-fa9282571186 · outbound

This paper cites an unresolved cited work.

Quantum Optimization via Gradient-Based Hamiltonian Descent Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:36:05.357306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a719e768-7106-4c6a-84ec-779ca6bfdaad · outbound

This paper cites Accelerated Optimization With Orthogonality Constraints.

Quantum Optimization via Gradient-Based Hamiltonian Descent Accelerated Optimization With Orthogonality Constraints

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-07T15:36:04.308956Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 162314a5-24ea-470c-b466-04904d5c1a92 · outbound

This paper cites an unresolved cited work.

Quantum Optimization via Gradient-Based Hamiltonian Descent Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:36:05.340420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 21be8fac-cb7d-4871-99d1-8bccd86a3863 · outbound

This paper cites C., and Jordan, M.

Quantum Optimization via Gradient-Based Hamiltonian Descent C., and Jordan, M

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-07T15:36:04.531573Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 04221509-c2b9-4529-9f2a-56790eb2d147 · outbound

This paper cites C., Recht, B., and Jordan, M.

Quantum Optimization via Gradient-Based Hamiltonian Descent C., Recht, B., and Jordan, M

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:36:05.313264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c90cd537-25bd-4ecd-bf5a-b9fdf3273d42 · outbound

This paper cites An improved sample complexity lower bound for (fidelity) quantum state tomography.

Quantum Optimization via Gradient-Based Hamiltonian Descent An improved sample complexity lower bound for (fidelity) quantum state tomography

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:36:05.297274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 607544bf-fc9e-4192-b8ca-dd220351a87a · outbound

This paper cites Quantum algorithms for escaping from saddle points.

Quantum Optimization via Gradient-Based Hamiltonian Descent Quantum algorithms for escaping from saddle points

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:36:05.281141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

Observation b55248d4-4e55-4ef6-8b0c-beb3ca6b82ce · inbound

Stochastic Quantum Hamiltonian Descent cites this paper.

Stochastic Quantum Hamiltonian Descent Quantum Optimization via Gradient-Based Hamiltonian Descent

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-06T15:48:53.132391Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 38855538-cccc-4115-9b96-a9a07029780d · inbound

Heisenberg-Limited Quantum Hamiltonian Learning via Randomly Spread Product-States cites this paper.

Heisenberg-Limited Quantum Hamiltonian Learning via Randomly Spread Product-States Quantum Optimization via Gradient-Based Hamiltonian Descent

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-06T13:00:24.507622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.