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Paper Citation Record · LEDGER

Certifying and learning quantum Ising Hamiltonians

As of 18 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 2026-08-18T06:34:40.430872+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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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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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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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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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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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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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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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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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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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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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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source=arxiv_source observed=2026-08-15T16:16:41.768518Z digest=sha256:14569ce4653c64c31805864aa62a86b04953fc95b5768aa9a0897686694d4066

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

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

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source=arxiv_source observed=2026-08-15T16:16:41.773389Z digest=sha256:f720af57695f1d42ce47f0f00668318954f3aaeef0f34daf62b12a2de67164a2

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

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T16:16:41.778464Z digest=sha256:9622494297e9a9084d3422f44dee95058b8f68244efecef64b94760646942d91

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T16:16:41.783059Z digest=sha256:beb2eacf284648afd0bf4ad4c076443e17bbbbbb03d3221ef956f3799da81f2b

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

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T16:16:41.787987Z digest=sha256:9a3c3da4e11e73de7cb98ca2447f88022fee44f88a24364488631293f504da26

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

This paper cites Quantum spectrum testing.

Certifying and learning quantum Ising Hamiltonians Quantum spectrum testing

Reference 42

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T16:16:41.792634Z digest=sha256:1c209254578257fa10f14ada00bf052b499fe9c6d2d856dfe2da4540580ead28

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T16:16:41.797376Z digest=sha256:6b706bf475bbabdfb1404fb79e06a537b67b7378b2212aa653e552872598cdf1

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T16:16:41.802411Z digest=sha256:6e30dc5ed9cd2e8b93c434bbd525bb1887bc4c07ac956ef13153bd611fa6efc1

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T16:16:41.807183Z digest=sha256:9e315c5789876c94e9dbf5e8399c4d1f624b764730b9d59c0b70ab83d4c4a652

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

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T16:16:41.812494Z digest=sha256:29ff45595742095e8881ecb81a120efb9267c0e5b6ba377208163aa5db62a32e

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

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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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T16:16:41.817596Z digest=sha256:f1b59ca899ae1d28cce40e75db47d4411da6d5d1708e206477d40404352dff23

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

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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=sha256:0b3a3d5643127c85922786dad1be9082feff07ca7164f16197baf7abc6769c6b

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

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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=sha256:22aeb6f662e0bc714a0dbeda4a3df494c313234f1406c28f2565268f57b77ed9

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

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verified fuzzy
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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T16:16:41.834896Z digest=sha256:5eab9e8b93de808a96f20625af12479c9338bc08a772a639d7f7e9fe7e4e5055

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

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T16:16:41.839944Z digest=sha256:68661677b6b1d909197c162b1ea96eb5dae7e9684526f3c34bfef7e9c683f937

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

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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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T16:16:41.845283Z digest=sha256:266c2b90ddeb0a0d4c72a5c9edb77c7ad3c4c9fa421a5c453f8d71108a7a7176

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

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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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-15T16:16:41.850459Z digest=sha256:7ddd61bb8016cf7beb403022c346b1310507baf48b68569cad0f7fcc3fcf73f7

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

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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 2026-08-18T06:34:40.430872+00:00.

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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

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

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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