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Paper Citation Record · LEDGER

Certifying and learning quantum Ising Hamiltonians

As of 16 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 2 inbound Pith citation observations for arXiv:2509.10239.

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

pith.paper-citation-record.v1
2509.10239 v1

Coverage vector

measured 53 of 53 reference resolution

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measured 55 of 55 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-15T08:48:25.341236Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-15T08:49:52.638471Z

Reference resolution

53 of 53 outbound references displayed

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External citation measurements

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Outbound references

Observation 985717ca-66f9-4dbe-bcfa-8938740d7bcd · outbound

This paper cites Sample-efficient learning of interacting quantum systems.

Certifying and learning quantum Ising Hamiltonians Sample-efficient learning of interacting quantum systems

Reference 1

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Observation 90730072-1d49-4bc2-94d5-b0706512a77b · outbound

This paper cites Quantum algorithmic measurement.

Certifying and learning quantum Ising Hamiltonians Quantum algorithmic measurement

Reference 2

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Observation 52280856-ecd2-4b0d-96b4-2f908aced9d7 · outbound

This paper cites Testing and learning structured quantum Hamiltonians.

Certifying and learning quantum Ising Hamiltonians Testing and learning structured quantum Hamiltonians

Reference 3

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Observation aaca18a4-5b6c-4b1c-aff3-bae07da45eab · outbound

This paper cites Testing and learning structured quantum Hamiltonians.

Certifying and learning quantum Ising Hamiltonians Testing and learning structured quantum Hamiltonians

Reference 4

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Observation 363a613e-def2-488b-aa4e-45a6ce755a74 · outbound

This paper cites Some recent progress in learning theory: The quantum side.

Certifying and learning quantum Ising Hamiltonians Some recent progress in learning theory: The quantum side

Reference 5

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Observation fed1e4d8-241b-44b0-883e-856d374f8194 · outbound

This paper cites High-threshold and low-overhead fault-tolerant quantum memory.

Certifying and learning quantum Ising Hamiltonians High-threshold and low-overhead fault-tolerant quantum memory

Reference 6

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Observation 0c30b8fd-d452-4a6a-b1df-0bedb93df8e6 · outbound

This paper cites Hamiltonian property testing.

Certifying and learning quantum Ising Hamiltonians Hamiltonian property testing

Reference 7

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source=arxiv_source observed=2026-08-15T16:16:41.604941Z digest=sha256:8fdf140d555c165d059183bfe59353b7d9f2eb798e7c40b67742d9d4a77f5b27

Observation aceb0e24-e655-4dbe-a83f-d7e9696d85b3 · outbound

This paper cites On complexity of the quantum Ising model.

Certifying and learning quantum Ising Hamiltonians On complexity of the quantum Ising model

Reference 8

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source=arxiv_source observed=2026-08-15T16:16:41.609905Z digest=sha256:750ee66fd72ae588e6ef3a48edfab10c0c1a9ffb0f419433d71448cec33a962f

Observation db4f486b-0e65-4e6e-b9f2-931f4f564d0b · outbound

This paper cites Learning quantum H amiltonians at any temperature in polynomial time.

Certifying and learning quantum Ising Hamiltonians Learning quantum H amiltonians at any temperature in polynomial time

Reference 9

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Observation 131b02f7-b97f-4aef-8291-3a7ad1871e11 · outbound

This paper cites Etude des coefficients de Fourier des fonctions de Lp (g).

Certifying and learning quantum Ising Hamiltonians Etude des coefficients de Fourier des fonctions de Lp (g)

Reference 10

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Observation 32b928b1-4b82-4f9c-b64f-cd2c080a4d15 · outbound

This paper cites Quantum state certification.

Certifying and learning quantum Ising Hamiltonians Quantum state certification

Reference 11

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Observation d35a0635-29f2-49f3-97e3-f61f11a203ec · outbound

This paper cites Learning quantum Gibbs states locally and efficiently.

Certifying and learning quantum Ising Hamiltonians Learning quantum Gibbs states locally and efficiently

Reference 12

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Observation a728e929-3fa8-48ac-97fe-ad8b8479387b · outbound

This paper cites Learning quantum processes and Hamiltonians via the Pauli transfer matrix.

Certifying and learning quantum Ising Hamiltonians Learning quantum processes and Hamiltonians via the Pauli transfer matrix

Reference 13

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Observation 984e70ef-c580-4321-9360-1d5b6954e1e1 · outbound

This paper cites Complexity classification of local Hamiltonian problems.

Certifying and learning quantum Ising Hamiltonians Complexity classification of local Hamiltonian problems

Reference 14

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Observation 27895d9a-821d-4e5b-9dca-37e97d6b5cea · outbound

This paper cites Universal quantum Hamiltonians.

Certifying and learning quantum Ising Hamiltonians Universal quantum Hamiltonians

Reference 15

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Observation 992146ae-80ec-4d80-aa9a-109a7515e094 · outbound

This paper cites Theory of T rotter error with commutator scaling.

Certifying and learning quantum Ising Hamiltonians Theory of T rotter error with commutator scaling

Reference 16

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Observation 272432da-568b-40c6-90ec-5c54263ad751 · outbound

This paper cites Hamiltonian learning via shadow tomography of pseudo- Choi states.

Certifying and learning quantum Ising Hamiltonians Hamiltonian learning via shadow tomography of pseudo- Choi states

Reference 17

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Observation ed8aa9f3-7006-41b4-8c08-ac2aa1509d31 · outbound

This paper cites Quantum phase transitions in transverse field spin models: from statistical physics to quantum information.

Certifying and learning quantum Ising Hamiltonians Quantum phase transitions in transverse field spin models: from statistical physics to quantum information

Reference 18

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Observation b8fc655e-1184-4e26-9544-ec7a540335f8 · outbound

This paper cites Testing Ising models.

Certifying and learning quantum Ising Hamiltonians Testing Ising models

Reference 19

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Observation 5f07dab8-273b-4bf3-aa19-27b846d3bb19 · outbound

This paper cites The advantage of quantum control in many-body Hamiltonian learning.

Certifying and learning quantum Ising Hamiltonians The advantage of quantum control in many-body Hamiltonian learning

Reference 20

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Observation 6b8f83f7-8355-47be-82e3-4c179aa00bd9 · outbound

This paper cites Practical characterization of quantum devices without tomography.

Certifying and learning quantum Ising Hamiltonians Practical characterization of quantum devices without tomography

Reference 21

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Observation 4f9396e4-37a0-42ed-826b-b483a1f1c91a · outbound

This paper cites Efficient Hamiltonian, structure and trace distance learning of Gaussian states.

Certifying and learning quantum Ising Hamiltonians Efficient Hamiltonian, structure and trace distance learning of Gaussian states

Reference 22

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Observation 5458b07a-490b-4739-bc3e-09005317e5a3 · outbound

This paper cites Practical Hamiltonian learning with unitary dynamics and Gibbs states.

Certifying and learning quantum Ising Hamiltonians Practical Hamiltonian learning with unitary dynamics and Gibbs states

Reference 23

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Observation a07d12e1-c6f5-4443-aca1-00790ad47f75 · outbound

This paper cites Quantum Hamiltonian Certification.

Certifying and learning quantum Ising Hamiltonians Quantum Hamiltonian Certification

Reference 24

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Observation 5ceebb78-ecdc-49ad-9046-21ed400614ed · outbound

This paper cites Scalable reconstruction of unitary processes and Hamiltonians.

Certifying and learning quantum Ising Hamiltonians Scalable reconstruction of unitary processes and Hamiltonians

Reference 25

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Observation e9d81983-31c6-4deb-8ec0-1b66d1695acc · outbound

This paper cites Sample-optimal tomography of quantum states.

Certifying and learning quantum Ising Hamiltonians Sample-optimal tomography of quantum states

Reference 26

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Observation 2b8cf708-6835-4f4c-a127-00d91904ec1d · outbound

This paper cites Predicting many properties of a quantum system from very few measurements.

Certifying and learning quantum Ising Hamiltonians Predicting many properties of a quantum system from very few measurements

Reference 27

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Observation 1d488ab8-01a7-494e-9380-dadc1bf419db · outbound

This paper cites Optimal learning of quantum H amiltonians from high-temperature Gibbs states.

Certifying and learning quantum Ising Hamiltonians Optimal learning of quantum H amiltonians from high-temperature Gibbs states

Reference 28

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Observation 1d8b7a7e-68ed-4a14-9566-710c1681f7f9 · outbound

This paper cites Ansatz-free Hamiltonian learning with Heisenberg -limited scaling.

Certifying and learning quantum Ising Hamiltonians Ansatz-free Hamiltonian learning with Heisenberg -limited scaling

Reference 29

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Observation d3f9a459-27a7-406f-9160-349df3905b47 · outbound

This paper cites Learning many-body Hamiltonians with Heisenberg -limited scaling.

Certifying and learning quantum Ising Hamiltonians Learning many-body Hamiltonians with Heisenberg -limited scaling

Reference 30

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Observation 7cd9e0f7-737c-41f8-ad51-a7aeab7d2932 · outbound

This paper cites Beitrag zur Theorie des Ferromagnetismus.

Certifying and learning quantum Ising Hamiltonians Beitrag zur Theorie des Ferromagnetismus

Reference 31

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Observation d9fb75f9-0d58-4a58-b9b6-d1989cedc8dd · outbound

This paper cites The complexity of the local Hamiltonian problem.

Certifying and learning quantum Ising Hamiltonians The complexity of the local Hamiltonian problem

Reference 32

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Observation 7de2cd8a-2bd8-4abd-868e-5e6bf28109ac · outbound

This paper cites Hamiltonian Locality Testing via Trotterized Postselection.

Certifying and learning quantum Ising Hamiltonians Hamiltonian Locality Testing via Trotterized Postselection

Reference 33

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Observation fc02752e-1bfe-4798-8744-f91670263e1f · outbound

This paper cites Robust quantum computational advantage with programmable 3050-photon Gaussian boson sampling.

Certifying and learning quantum Ising Hamiltonians Robust quantum computational advantage with programmable 3050-photon Gaussian boson sampling

Reference 34

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source=arxiv_source observed=2026-08-15T16:16:41.751617Z digest=sha256:6c618df45d8c7452755db3c788b0b5a56687640e2d791287e600c5f6c711b691

Observation 6faf32a6-94ca-4efa-ba64-afd5b3404b3e · outbound

This paper cites Heisenberg-limited Hamiltonian learning for interacting bosons.

Certifying and learning quantum Ising Hamiltonians Heisenberg-limited Hamiltonian learning for interacting bosons

Reference 35

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source=arxiv_source observed=2026-08-15T16:16:41.757611Z digest=sha256:bc33442df488e599a8a9b95a3f7bb000c1eb55ccfd15e42c5756eefe8cf3fb4a

Observation 07bb64b8-3d4c-4d93-8509-8be5e9e9e321 · outbound

This paper cites Quantum algorithms for testing Hamiltonian symmetry.

Certifying and learning quantum Ising Hamiltonians Quantum algorithms for testing Hamiltonian symmetry

Reference 36

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source=arxiv_source observed=2026-08-15T16:16:41.763729Z digest=sha256:f5bd0b578514a4322a28324bfe24b9b4775687db7f05f628fbf38017c3b930db

Observation 3f7ac3b6-9715-4800-b505-3c11f3fc0ca3 · outbound

This paper cites Learning and simulating bosonic systems via finite-energy locality.

Certifying and learning quantum Ising Hamiltonians Learning and simulating bosonic systems via finite-energy locality

Reference 37

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T16:16:41.768518Z digest=sha256:8f5e237a35652e7ceac31265328ad7bf05edd4cca2304d2fcefcf831b514a979

Observation 01de23d2-678b-4844-af1e-e9b684a121b8 · outbound

This paper cites Learning $k$-body Hamiltonians via compressed sensing.

Certifying and learning quantum Ising Hamiltonians Learning $k$-body Hamiltonians via compressed sensing

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-15T16:16:41.773389Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T16:16:41.773389Z digest=sha256:7c12ce28ee224a980dfb4a448489995a98516c29adba5fbad7b4dabcb921e00e

Observation 71fa1eb4-27b5-427f-89d4-5471cf7c5097 · outbound

This paper cites The importance of the Ising model.

Certifying and learning quantum Ising Hamiltonians The importance of the Ising model

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:16:42.425500Z

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.

source=arxiv_source observed=2026-08-15T16:16:41.778464Z digest=sha256:ac2c53593a7bf748ef973d521078e014a7c3b63c5e48d3d563e74388c231f759

Observation d4274e96-0a1c-4649-97e9-22d968253f63 · outbound

This paper cites Quantum B oolean functions.

Certifying and learning quantum Ising Hamiltonians Quantum B oolean functions

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:16:42.406965Z

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.

source=arxiv_source observed=2026-08-15T16:16:41.783059Z digest=sha256:aab997258a6e535fed1cf87f6fdbe0f6c98b5b094187b172b184b5a12cf1b748

Observation e5ef3823-9ee5-4b47-81fe-27441f41d310 · outbound

This paper cites The complexity of quantum spin systems on a two-dimensional square lattice.

Certifying and learning quantum Ising Hamiltonians The complexity of quantum spin systems on a two-dimensional square lattice

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:16:42.390004Z

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.

source=arxiv_source observed=2026-08-15T16:16:41.787987Z digest=sha256:0ea89718c3795bd7d7872be7f386251b1489fb94649e6a33a4a583e7c9234327

Observation 143011cd-8aa0-4b83-876c-dbe5815c4d67 · outbound

This paper cites Quantum spectrum testing.

Certifying and learning quantum Ising Hamiltonians Quantum spectrum testing

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:16:42.372831Z

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.

source=arxiv_source observed=2026-08-15T16:16:41.792634Z digest=sha256:22221d5cd54b7b93e9e76f91839a6e8ef06570d0c3081e7ec64f3a3e0e612343

Observation 486adfb1-5b4f-48b2-952d-e7943ed0ba21 · outbound

This paper cites Efficient quantum tomography.

Certifying and learning quantum Ising Hamiltonians Efficient quantum tomography

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:16:42.351902Z

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.

source=arxiv_source observed=2026-08-15T16:16:41.797376Z digest=sha256:166c4c6cefde0a044057b5f8c667b8a1e20feca429a27bd49448576e559c9207

Observation 20b09d5e-1bcf-4974-9aca-c90ef4e1c81c · outbound

This paper cites Learning quantum many-body systems from a few copies.

Certifying and learning quantum Ising Hamiltonians Learning quantum many-body systems from a few copies

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:16:42.335130Z

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.

source=arxiv_source observed=2026-08-15T16:16:41.802411Z digest=sha256:eb9af9a0b1aa3ac118a8acd536d3170a78a6a01c7e1042e7f1eb0e56c90e821c

Observation d073596c-9cb1-4c71-8b17-c92a4d9e23cb · outbound

This paper cites Efficient learning of ground and thermal states within phases of matter.

Certifying and learning quantum Ising Hamiltonians Efficient learning of ground and thermal states within phases of matter

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:16:42.318136Z

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.

source=arxiv_source observed=2026-08-15T16:16:41.807183Z digest=sha256:7ac4b9207131bb59dabf48e949853eba75c0096353d40cc149feca9a29c96f56

Observation 8173990f-b1cb-475e-9cb2-767232cdedba · outbound

This paper cites Efficient and robust estimation of many-qubit Hamiltonians.

Certifying and learning quantum Ising Hamiltonians Efficient and robust estimation of many-qubit Hamiltonians

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:16:42.301522Z

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.

source=arxiv_source observed=2026-08-15T16:16:41.812494Z digest=sha256:d9462d3a2731daf29321f66a3ba5380603e19881c56bfe9deb4baf2ee8703549

Observation 8bc46c5d-d632-47e4-9d44-39da304f02a1 · outbound

This paper cites Quantum Ising phases and transitions in transverse Ising models , volume 862.

Certifying and learning quantum Ising Hamiltonians Quantum Ising phases and transitions in transverse Ising models , volume 862

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:16:42.283666Z

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.

source=arxiv_source observed=2026-08-15T16:16:41.817596Z digest=sha256:56da3a06ab75c071a2d0e6cb9940d4f359e4107f6959db2f0dc5fac40002487b

Observation 7a107f09-abbf-4fef-b86a-04c47725131f · outbound

This paper cites Improved Hamiltonian learning and sparsity testing through Bell sampling.

Certifying and learning quantum Ising Hamiltonians Improved Hamiltonian learning and sparsity testing through Bell sampling

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-15T16:16:41.822413Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T16:16:41.822413Z digest=sha256:aa545047733715a0d21b0993036d29337445fdce10e635146f96e25a9d4af17c

Observation 4b3d985a-03b8-412e-ae51-b7f182ae634b · outbound

This paper cites Information-theoretic limits of selecting binary graphical models in high dimensions.

Certifying and learning quantum Ising Hamiltonians Information-theoretic limits of selecting binary graphical models in high dimensions

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-15T16:16:41.828190Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T16:16:41.828190Z digest=sha256:efa3829f6908312aa00eb855a342887ff392e0c997cd66dfeb2ddfa99cfa5be2

Observation 2c70184e-27f5-44e6-8d45-ba8fcd954360 · outbound

This paper cites Unitary property testing lower bounds by polynomials.

Certifying and learning quantum Ising Hamiltonians Unitary property testing lower bounds by polynomials

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:16:42.253636Z

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.

source=arxiv_source observed=2026-08-15T16:16:41.834896Z digest=sha256:cf0a180fb16d8a91c8b6508692905ae0617ca5cb9046393779694854f8fbc35e

Observation 79cd6271-b75a-4efd-9e17-b7a5e50d559c · outbound

This paper cites Robust and efficient Hamiltonian learning.

Certifying and learning quantum Ising Hamiltonians Robust and efficient Hamiltonian learning

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:16:42.237332Z

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.

source=arxiv_source observed=2026-08-15T16:16:41.839944Z digest=sha256:190ec7d900ca6ffdbf1c3ba4d440f34dfe5d840cb4f87f3ffc273dc65de6acba

Observation 690337d3-fb70-41eb-94da-9b3ee370742b · outbound

This paper cites Learning the structure of any Hamiltonian from minimal assumptions.

Certifying and learning quantum Ising Hamiltonians Learning the structure of any Hamiltonian from minimal assumptions

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:16:42.220611Z

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.

source=arxiv_source observed=2026-08-15T16:16:41.845283Z digest=sha256:b197701f5a5ab1ea5730151033d03f9b050e84edef6c64dac102ba326d296486

Observation b0259da8-f88f-4e13-80cf-589282118971 · outbound

This paper cites Optimal short-time measurements for Hamiltonian learning.

Certifying and learning quantum Ising Hamiltonians Optimal short-time measurements for Hamiltonian learning

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:16:42.204666Z

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.

source=arxiv_source observed=2026-08-15T16:16:41.850459Z digest=sha256:5d0eb7342a563651c8bbf0555809bdeffad510b258b2795284c7379dffde8d23

Pith citing papers

Observation 9b9d9fe1-e9ca-4a26-b752-2aa239a3cb85 · inbound

Optimal detection of dissipation in Lindbladian dynamics cites this paper.

Optimal detection of dissipation in Lindbladian dynamics Certifying and learning quantum Ising Hamiltonians

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-05-15T08:49:52.641641Z

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.

source=pdf_text observed=2026-05-15T08:48:25.341236Z digest=sha256:9780b19a02d6c98abb4b0c0ed71b8825f28d8706a514b943eb8cdb96db4d4912

Observation ddc92227-5157-4cd2-a23e-0df7a8c50a41 · inbound

Heisenberg-limited Hamiltonian learning without short-time control cites this paper.

Heisenberg-limited Hamiltonian learning without short-time control Certifying and learning quantum Ising Hamiltonians

Reference 42

Resolution
verified exact
arxiv_id, observed 2026-05-12T10:31:28.916836Z

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.

source=pdf_text observed=2026-05-07T05:55:37.319212Z digest=sha256:6b15901e9d6ffcc59b549424a0fee7b01f5ed34196c960b516ac355ab8fe8645