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Paper Citation Record · LEDGER

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance

As of 5 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 2 inbound Pith citation observations for arXiv:2604.07156.

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

pith.paper-citation-record.v1
2604.07156 v1

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

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measured 46 of 46 standing notices

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measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T19:52:24.671777Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

44 of 44 outbound references displayed

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External citation measurements

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Outbound references

Observation 2fe795ef-5aa2-458b-bb9a-b3c00bf6653d · outbound

This paper cites m; 2forj= 1.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance m; 2forj= 1

Reference 1

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Observation 3354eff9-e744-4b42-a5c6-08856ded7c90 · outbound

This paper cites an unresolved cited work.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Unresolved cited work

Reference 2

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Observation cf8306bc-0646-4606-ac43-0a1c35e6081b · outbound

This paper cites Throughout this section, we refer to Fig.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Throughout this section, we refer to Fig

Reference 3

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Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Unresolved cited work

Reference 4

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Observation f312a50c-b225-4978-9a06-a80545a40ab7 · outbound

This paper cites Then the minimum-variance unbiased energy estima- tor (17) is attained by the heuristic estimator (18).

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Then the minimum-variance unbiased energy estima- tor (17) is attained by the heuristic estimator (18)

Reference 5

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Observation 8ae537fc-4a70-4346-804a-3c9d70a0715a · outbound

This paper cites an unresolved cited work.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Unresolved cited work

Reference 6

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Observation 48073253-856e-4879-8ed1-c904100579a7 · outbound

This paper cites Refer to Fig.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Refer to Fig

Reference 7

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Observation 000a2879-9861-41d2-86b2-ad0bfbd3a627 · outbound

This paper cites embedded.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance embedded

Reference 8

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Observation dc6f4b6e-049f-4084-b12b-1173e0d79204 · outbound

This paper cites Love, Alán Aspuru- Guzik, and Jeremy L.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Love, Alán Aspuru- Guzik, and Jeremy L

Reference 9

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Observation 5b8aa251-48d2-444e-b15f-08647dc5ee81 · outbound

This paper cites Thetheoryofvariationalhybrid quantum-classical algorithms.New Journal of Physics, 18(2):023023, February 2016.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Thetheoryofvariationalhybrid quantum-classical algorithms.New Journal of Physics, 18(2):023023, February 2016

Reference 10

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Observation acdab0e2-f665-4df3-a9f7-f9b2cc54e289 · outbound

This paper cites Hastings, and Matthias Troyer.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Hastings, and Matthias Troyer

Reference 11

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Observation 3d31a85b-016d-4311-8bae-8aa4c56fb438 · outbound

This paper cites Iz- maylov.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Iz- maylov

Reference 12

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Observation 581151af-68fa-4ebe-b892-7ae5510915e1 · outbound

This paper cites Kirby, Shu Fay Ung, Akimasa Miyake, and Peter J.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Kirby, Shu Fay Ung, Akimasa Miyake, and Peter J

Reference 13

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation ab0b8672-f87b-4bc7-b4a3-5360a2ed3e3b · outbound

This paper cites Efficient quantum measurement of Pauli oper- ators in the presence of finite sampling error.Quantum, 5:385, January 2021.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Efficient quantum measurement of Pauli oper- ators in the presence of finite sampling error.Quantum, 5:385, January 2021

Reference 14

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Observation 8d7fb905-bf60-4988-9061-16c878e73dbe · outbound

This paper cites Predicting many properties of a quantum system from very few measurements.Nature Physics, 16(10):1050– 1057, October 2020.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Predicting many properties of a quantum system from very few measurements.Nature Physics, 16(10):1050– 1057, October 2020

Reference 15

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Observation 3bd9b659-6066-4caf-941e-fb926c3a6560 · outbound

This paper cites Measurements of Quantum Hamil- tonians with Locally-Biased Classical Shadows.Commu- nications in Mathematical Physics, 391(3):951–967, May 2022.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Measurements of Quantum Hamil- tonians with Locally-Biased Classical Shadows.Commu- nications in Mathematical Physics, 391(3):951–967, May 2022

Reference 16

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Observation 9e770431-00a8-413f-88b5-5d36130e8387 · outbound

This paper cites Ef- ficient Estimation of Pauli Observables by Derandomiza- tion.Physical Review Letters, 127(3):030503, July 2021.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Ef- ficient Estimation of Pauli Observables by Derandomiza- tion.Physical Review Letters, 127(3):030503, July 2021

Reference 17

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Observation a295bde0-7a36-4ebe-8a5e-10432b9982c8 · outbound

This paper cites an unresolved cited work.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Unresolved cited work

Reference 18

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Observation dbe9c0e9-17e2-412c-9d93-2f237542257b · outbound

This paper cites Rossi, Boris Sokolov, Francesco Tacchino, Panagiotis Kl.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Rossi, Boris Sokolov, Francesco Tacchino, Panagiotis Kl

Reference 19

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Observation 823c39a3-596f-4207-bded-1846a210d2b0 · outbound

This paper cites Precise measurement of quan- tum observables with neural-network estimators.Physi- cal Review Research, 2(2):022060.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Precise measurement of quan- tum observables with neural-network estimators.Physi- cal Review Research, 2(2):022060

Reference 20

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Observation 33b57516-f27c-4201-8ca1-f90ac9b14ceb · outbound

This paper cites Adaptive quantum state tomography with neural networks.npj Quantum Information, 7(1):105.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Adaptive quantum state tomography with neural networks.npj Quantum Information, 7(1):105

Reference 21

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Observation 028c15da-3033-4a19-b968-1df0fbe763de · outbound

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Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Unresolved cited work

Reference 22

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Observation 39c22bcc-59da-483e-99f5-db6e9d1c5045 · outbound

This paper cites Huggins, Jarrod R.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Huggins, Jarrod R

Reference 23

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Observation b13c9c39-f8c5-4578-b508-068392670d85 · outbound

This paper cites Izmaylov.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Izmaylov

Reference 24

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Observation af25b1bd-a2f3-4168-8467-7aead3cdbde8 · outbound

This paper cites Overlapped grouping measurement: A unified framework for measuring quantum states.Quantum, 7:896, January 2023.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Overlapped grouping measurement: A unified framework for measuring quantum states.Quantum, 7:896, January 2023

Reference 25

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Observation df36df52-e9c0-4653-80bc-9e94a39dad89 · outbound

This paper cites Iz- maylov.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Iz- maylov

Reference 26

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Observation bf9b358c-b2f7-40ca-874b-1b5334384702 · outbound

This paper cites Guaranteed effi- cient energy estimation of quantum many-body Hamilto- nians using ShadowGrouping.Nature Communications, 16(1):689, January 2025.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Guaranteed effi- cient energy estimation of quantum many-body Hamilto- nians using ShadowGrouping.Nature Communications, 16(1):689, January 2025

Reference 27

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Observation 0493dd5f-cddc-4ae2-aab3-ccd50ace980e · outbound

This paper cites Improving quantum measurements by introduc- ing “ghost” pauli products.Journal of Chemical Theory and Computation, 18(12):7394–7402.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Improving quantum measurements by introduc- ing “ghost” pauli products.Journal of Chemical Theory and Computation, 18(12):7394–7402

Reference 28

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Observation ea73de13-74fd-4f6c-b662-fdf1df9b99fb · outbound

This paper cites Beyond nisq: The megaquop machine.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Beyond nisq: The megaquop machine

Reference 29

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Observation 461730be-619f-45bb-b267-a7c19c9762cf · outbound

This paper cites Beyond NISQ: The Megaquop Machine.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Beyond NISQ: The Megaquop Machine

Reference 30

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Observation 69cb065b-0b6f-4efe-aaa7-3623045ea434 · outbound

This paper cites an unresolved cited work.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Unresolved cited work

Reference 31

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Observation 5bd8588f-74a8-4ed4-85d9-28dcae680c96 · outbound

This paper cites Garey and David S.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Garey and David S

Reference 32

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T17:55:54.019829Z digest=sha256:830a09cab2be90176a9f814b9ca1de3256e43835e0fa52a3af4ef3c050bb1329

Observation 51059417-dd1f-4d6b-ad70-476711e2443e · outbound

This paper cites Application of fermionic marginal constraints to hybrid quantum algorithms.New Journal of Physics, 20(5):053020, May 2018.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Application of fermionic marginal constraints to hybrid quantum algorithms.New Journal of Physics, 20(5):053020, May 2018

Reference 33

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T17:55:54.019829Z digest=sha256:ace5612660534e64c95bec851e726c506740c3e89787260f26db6d64638d851b

Observation 530ac2c5-5df6-4515-b180-9c59a9a421d8 · outbound

This paper cites Jena, Priyanka Mukhopad- hyay, JanF.Haase, FelixLeditzky, andLucaDellantonio.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Jena, Priyanka Mukhopad- hyay, JanF.Haase, FelixLeditzky, andLucaDellantonio

Reference 34

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verified fuzzy
raw_fallback, observed 2026-05-17T08:11:40.753869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T17:55:54.019829Z digest=sha256:274185f1220cb209e63e5469c7685f010346aaab438fb928c8f31e2372d48a13

Observation e5cb3f95-dfb8-4cae-98bf-4eb3933bef5f · outbound

This paper cites Improved simulation of stabilizer circuits.Physical Review A, 70(5):052328, November 2004.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Improved simulation of stabilizer circuits.Physical Review A, 70(5):052328, November 2004

Reference 35

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verified fuzzy
raw_fallback, observed 2026-05-17T08:11:40.756407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T17:55:54.019829Z digest=sha256:92ae10c77cdd7edc3c58764b3bac882db18b36e0d970552bfdff3ff923b4cba3

Observation c83e5a18-b4f4-4cae-b92c-28b2a55e8c67 · outbound

This paper cites Clifford Circuit Optimization with Tem- plates and Symbolic Pauli Gates.Quantum, 5:580, November 2021.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Clifford Circuit Optimization with Tem- plates and Symbolic Pauli Gates.Quantum, 5:580, November 2021

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T08:11:40.737130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T17:55:54.019829Z digest=sha256:e3879bb1f7fbb541ddf2242c47f1aef5e051620c0de3583ebd2b60a049d97ee3

Observation fcffbe49-905b-4657-b019-356c8b5aa547 · outbound

This paper cites Tabor, David E.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Tabor, David E

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T08:11:40.741380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T17:55:54.019829Z digest=sha256:ad53a268d5a5b9ec48e6a5b0a181859388c1991929071ee48c439a53c299fa7a

Observation 0af32cd0-a3a2-4178-8ffb-8923852b343e · outbound

This paper cites Non-Clifford diagonalization for measurement shot reduction in quantum expectation value estimation.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Non-Clifford diagonalization for measurement shot reduction in quantum expectation value estimation

Reference 38

Resolution
verified exact
arxiv_id, observed 2026-05-11T05:51:02.487697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T17:55:54.019829Z digest=sha256:54c4770ffe91b04238fb3d9529c8d3ff90953112911ced84d29eeeb4ac849a83

Observation 373e5252-bfb3-4e6e-878a-4970084dfb1e · outbound

This paper cites Alvertis, Alan Bidart, Ben DalFavero, Sophia E.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Alvertis, Alan Bidart, Ben DalFavero, Sophia E

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T08:11:40.751371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T17:55:54.019829Z digest=sha256:4338cc6bb08650bc6cb086f99ca0da9bd515b4320ee5bca83d81939bcef6dfd4

Observation ce65cd01-3cdd-49e3-976d-6608da4df5e9 · outbound

This paper cites Gambetta.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Gambetta

Reference 40

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verified fuzzy
raw_fallback, observed 2026-05-17T08:11:40.729861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T17:55:54.019829Z digest=sha256:b174285002e2dfbc5784cca3b790347aece552da05412436f7b30e559df6a47b

Observation 6561e042-cf65-42aa-9082-06d208cf0a90 · outbound

This paper cites Practical Quantum Error Mitigation for Near-Future Applications.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Practical Quantum Error Mitigation for Near-Future Applications

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T08:11:40.758829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T17:55:54.019829Z digest=sha256:1e6cf508f059ebb555a0eab3406f266eee1287ba83a54e1541379f985f20074e

Observation de83107b-530f-46d1-adb2-0f3a269cc0b2 · outbound

This paper cites Digital zero noise extrapolation for quantum error mitigation.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Digital zero noise extrapolation for quantum error mitigation

Reference 42

Resolution
verified exact
arxiv_id, observed 2026-05-11T05:51:02.493466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T17:55:54.019829Z digest=sha256:79a5f8524fc88405fa5fcdbfad9d4bc2604378914f3cb02883c9b61f5afc0566

Observation 153b27a5-e09d-49b7-a0b1-a7c14c5b812e · outbound

This paper cites Overlapped grouping GitHub.https://github.com/jdrowland/ OverlappedGroupingNumerics/.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Overlapped grouping GitHub.https://github.com/jdrowland/ OverlappedGroupingNumerics/

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T08:11:40.761054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T17:55:54.019829Z digest=sha256:966b13f0999e9ed75dfdb3aecce69c0b06c110bbe5c02c6e8d2a71954d007cff

Observation 2d656cc3-c258-4736-ba38-133dc3e2a88e · outbound

This paper cites Proof.Since eachP i has±1outcomes,Var(P i) = 1− ⟨Pi⟩2 ≤1, hence D(ψ) = X i c2 i Var(Pi)≤ X i c2 i =∥c∥ 2 2.

Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance Proof.Since eachP i has±1outcomes,Var(P i) = 1− ⟨Pi⟩2 ≤1, hence D(ψ) = X i c2 i Var(Pi)≤ X i c2 i =∥c∥ 2 2

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T08:11:40.822509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T17:55:54.019829Z digest=sha256:eb4da514c9d507b3760f32e4f248bd24d96c7d55b64183fb85b05a3f53c6c3cf

Pith citing papers

Observation 30cb21ed-c16c-43ac-bd68-dfea42a2fd7b · inbound

Reducing quantum measurements in qubit-based overlapping grouping methods for quantum energy estimation through better initializations cites this paper.

Reducing quantum measurements in qubit-based overlapping grouping methods for quantum energy estimation through better initializations Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance

Reference 62

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no resolver link, observed 2026-07-12T07:00:44.574658Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T07:00:44.574658Z digest=sha256:173f5fe02fd45ec4a9d71d32bea85b8507ce6785e74fc6c81e04ba561e63d4b9

Observation 819c64a9-8239-4a6c-8579-c34031367933 · inbound

Certified Optimal Measurement Reduction over Quantum Context Landscapes cites this paper.

Certified Optimal Measurement Reduction over Quantum Context Landscapes Overlapped groupings for quantum energy estimation: Maximal variance reduction and deterministic algorithms for reducing variance

Reference 31

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no resolver link, observed 2026-08-01T19:52:24.671777Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T19:52:24.671777Z digest=sha256:2eb350dea3d202a74229fd7acdc344bc54130d52d954646e7ef0510d7b5f87ce