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Paper Citation Record · LEDGER

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation

As of 18 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 3 inbound Pith citation observations for arXiv:2505.00698.

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

pith.paper-citation-record.v1
2505.00698 v2

Coverage vector

measured 63 of 63 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:46:29.642066Z

measured 66 of 66 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:52:00.177470Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-10T12:15:01.137692Z

Reference resolution

63 of 63 outbound references displayed

  • verified exact4
  • verified fuzzy24
  • unresolved35
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6955619a-4751-4cc1-b70a-82164120f09c · outbound

This paper cites Lloyd, Universal quantum simulators, Science273, 1073 (1996).

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Lloyd, Universal quantum simulators, Science273, 1073 (1996)

Reference 1

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-16T04:46:29.394018Z digest=sha256:943cc799328559e7712fd8a28952ab5d1b54910da8db781f3aaf60b69185c8b3

Observation 603d10ef-67a0-474e-8110-3a419234a339 · outbound

This paper cites Aspuru-Guzik, A.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Aspuru-Guzik, A

Reference 2

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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=pdf_text observed=2026-08-16T04:46:29.398526Z digest=sha256:96806b97a8bf3b76cae44506f27780cb4ee51183a6ad3ffde3cf066e7108a56c

Observation 227306fc-5bdf-4e70-89f2-0dc0219ce4d5 · outbound

This paper cites Biamonte, P.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Biamonte, P

Reference 3

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source=pdf_text observed=2026-08-16T04:46:29.402817Z digest=sha256:cebefd43fb5d9e622e5403002ccc22145ba96292d55be579e1746c6df0c72cb0

Observation e71a1c24-74ab-4d4f-bfc9-996b64c67f0e · outbound

This paper cites Knill, G.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Knill, G

Reference 4

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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=pdf_text observed=2026-08-16T04:46:29.407026Z digest=sha256:53e0d4618a444c076c17474c5b66e83d5b629600d5af500cc2a500860f9c7202

Observation 81146aee-ccc9-4933-ae59-c58ecb5e2b5d · outbound

This paper cites Erhard, J.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Erhard, J

Reference 5

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source=pdf_text observed=2026-08-16T04:46:29.411124Z digest=sha256:b74b2068da736b1c1ddaad1b9f7f71417af579ba3501421a76f40d05b006a5ec

Observation b7bf34c5-9a22-4968-8529-1835f1af8984 · outbound

This paper cites Eisert, D.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Eisert, D

Reference 6

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source=pdf_text observed=2026-08-16T04:46:29.415117Z digest=sha256:30158fb06f973d129292ae57eac4e13db2f2f19f0f4d0906233474ae6aa38ef8

Observation 513f87ce-b40a-404e-98e4-a1c7505bd65a · outbound

This paper cites an unresolved cited work.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Unresolved cited work

Reference 7

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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=pdf_text observed=2026-08-16T04:46:29.419332Z digest=sha256:ebb88d04ec42480af506010a65f6e33fa46f202888b6cc59356cd1319ecb41f0

Observation 02a7b6fd-d243-4dce-b831-cb4969102216 · outbound

This paper cites Elben, B.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Elben, B

Reference 8

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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=pdf_text observed=2026-08-16T04:46:29.422833Z digest=sha256:e0c66b1c3d694ca533354d0b5855d405541fd33537f2b85760144dcf3392c019

Observation 0e390949-9034-4157-a631-f54ed067ec26 · outbound

This paper cites Elben, B.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Elben, B

Reference 9

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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=pdf_text observed=2026-08-16T04:46:29.426322Z digest=sha256:12f7ee503679accad70ddd7f25f30505bf95489109b1eb880f48e3d6a4113923

Observation d3f11c5e-f0e7-4227-acac-f8adff250dec · outbound

This paper cites Predicting Many Properties of a Quantum System from Very Few Measurements.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Predicting Many Properties of a Quantum System from Very Few Measurements

Reference 10

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source=pdf_text observed=2026-08-16T04:46:29.429797Z digest=sha256:39da85e493fa6b93b75f09af25a2e1e40493d9d735b0273a8bd8291f09811357

Observation 22be7e5c-42ff-414a-a5ab-8b46de62b27f · outbound

This paper cites Elben, S.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Elben, S

Reference 11

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source=pdf_text observed=2026-08-16T04:46:29.434045Z digest=sha256:117c857907e32655728bb9c2a94fc0656be487f7933e52213c7e7da6407dada2

Observation f809e0b2-6d5d-4154-8ea8-3f5e96eec043 · outbound

This paper cites Cotler and F.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Cotler and F

Reference 12

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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=pdf_text observed=2026-08-16T04:46:29.437506Z digest=sha256:74cc6eed2fbf3305e4a500dc8c6b8be9f643a40e51d48243c79a393d196ccd9b

Observation 1e837679-469f-41ba-903f-e61abe2c6d53 · outbound

This paper cites Bonet-Monroig, R.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Bonet-Monroig, R

Reference 13

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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=pdf_text observed=2026-08-16T04:46:29.441231Z digest=sha256:76062597f4129bd8dcc3b0fe39d3c5a44d5c55a9590b6f28fdad7892e6a912d0

Observation 5dbc468f-111c-4470-bd54-d21302a817b5 · outbound

This paper cites García-Pérez, M.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation García-Pérez, M

Reference 14

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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.

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Observation 56962742-ab8a-4b8a-8a3f-a416e5da01ce · outbound

This paper cites Fermionic partial tomography via classical shadows.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Fermionic partial tomography via classical shadows

Reference 15

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local_arxiv, observed 2026-08-16T04:46:29.905205Z

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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 f7822076-8b71-466d-983e-cdf46d640d3d · outbound

This paper cites Classical shadows of fermions with particle number symmetry.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Classical shadows of fermions with particle number symmetry

Reference 16

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source=pdf_text observed=2026-08-16T04:46:29.452682Z digest=sha256:afd621f8353396cf4a1711efcf896ca5c22b250743fc1e703a61c634da18812b

Observation 0f4921ea-8c01-4f92-b827-081753c3cc85 · outbound

This paper cites an unresolved cited work.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Unresolved cited work

Reference 17

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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=pdf_text observed=2026-08-16T04:46:29.456687Z digest=sha256:7064d3b459dc500731a5cc0ac91240cec7f697791dfadc6abc1cd3cf8ff9be46

Observation 24388dd3-ed43-4888-9a6b-9963a670136d · outbound

This paper cites Huang, R.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Huang, R

Reference 18

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

source=pdf_text observed=2026-08-16T04:46:29.460374Z digest=sha256:c0ae180ef5b69334a3f26c569ccba6ee340ab2c7bc3c1f08da0facdd91098505

Observation 3b49e20d-c0fe-4dd8-b36c-3563cd2fa7c9 · outbound

This paper cites Brassard, P.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Brassard, P

Reference 19

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

source=pdf_text observed=2026-08-16T04:46:29.464287Z digest=sha256:3b044749f17f4c4659d87db090b6f4f86a95e6f0cd1e2018179b36a3dbbb6419

Observation b34fe062-8c3c-4981-b481-9aee1561fe7f · outbound

This paper cites Rall, Quantum algorithms for estimating physical quantities using block encodings, Physical Review A102, 022408 (2020).

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Rall, Quantum algorithms for estimating physical quantities using block encodings, Physical Review A102, 022408 (2020)

Reference 20

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source=pdf_text observed=2026-08-16T04:46:29.467874Z digest=sha256:9003d4090c7d9fbd8608c55a0f1d52bc5c12babbf70cd61d6e0b203e707cfdc3

Observation 966f22a4-5615-46e6-b42a-09f5168c83d8 · outbound

This paper cites Montanaro, Quantum speedup of monte carlo methods, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences471, 20150301 (2015).

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Montanaro, Quantum speedup of monte carlo methods, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences471, 20150301 (2015)

Reference 21

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source=pdf_text observed=2026-08-16T04:46:29.471758Z digest=sha256:d8e1965a9f9a44f4f57f32981274e760ced607ef24b20470d7ddac513372e87d

Observation b634cd01-59db-4247-8d2f-88fe32670321 · outbound

This paper cites Suzuki, S.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Suzuki, S

Reference 22

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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 5a488b6b-7555-4376-9ee6-699e67e2c7b3 · outbound

This paper cites Faster Amplitude Estimation.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Faster Amplitude Estimation

Reference 23

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source=pdf_text observed=2026-08-16T04:46:29.479744Z digest=sha256:9fbf503197d38a7140494c82e5a0563ec70c1226164a4e782bd32afc891317cd

Observation d0a730a5-9179-4815-ac7d-74c492e1b399 · outbound

This paper cites Grinko, J.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Grinko, J

Reference 24

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

source=pdf_text observed=2026-08-16T04:46:29.483820Z digest=sha256:3948821dc067d20c696ab1c23de161f551c6d0eb3d46efafc4587f7d9491feb0

Observation 0f572942-c344-4ae8-ac1c-42f9c7f7a116 · outbound

This paper cites Adaptive Algorithm for Quantum Amplitude Estimation.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Adaptive Algorithm for Quantum Amplitude Estimation

Reference 25

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source=pdf_text observed=2026-08-16T04:46:29.487718Z digest=sha256:e6f9bc865a4d84264153a6826aebb994e68c7441395763b8a41caad78bcab8b4

Observation 2d21cf16-e868-4a29-a062-e137a6737d60 · outbound

This paper cites Rall and B.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Rall and B

Reference 26

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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 ee1db089-236e-428f-ba30-7fdf9e4de471 · outbound

This paper cites Fukuzawa, C.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Fukuzawa, C

Reference 27

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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 36d76cc5-f9f3-45cb-8dc7-c119b7a92de6 · outbound

This paper cites an unresolved cited work.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Unresolved cited work

Reference 28

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

source=pdf_text observed=2026-08-16T04:46:29.500750Z digest=sha256:54f6fb8f9fcb461cf01c149e989070aaf807ec38fc9f3a34239da0d021780f64

Observation da51283d-e99a-4d4e-960c-2d1864c905eb · outbound

This paper cites Gilyén, S.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Gilyén, S

Reference 29

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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 d0d6df78-7076-4433-9dfd-1bf65cf5482b · outbound

This paper cites van Apeldoorn, A.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation van Apeldoorn, A

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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Observation 85e97a17-8166-4bab-a238-2a3763e7dbe2 · outbound

This paper cites an unresolved cited work.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Unresolved cited work

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 6c098e1a-6e14-4557-b32f-75231f53a0cf · outbound

This paper cites an unresolved cited work.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Unresolved cited work

Reference 32

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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 24c29531-90b2-4c79-8b0b-5b516c5a7ab3 · outbound

This paper cites Faster Quantum Algorithm for Multiple Observables Estimation in Fermionic Problems.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Faster Quantum Algorithm for Multiple Observables Estimation in Fermionic Problems

Reference 33

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:46:29.519919Z digest=sha256:44896093bd96d78e23e4e3857296fda423e22a15e44574ac506f794ef88ab84f

Observation ef0116c5-676b-41b3-8ea8-8746ef9dd60a · outbound

This paper cites Demonstrating Heisenberg-limited unambiguous phase estimation without adaptive measurements.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Demonstrating Heisenberg-limited unambiguous phase estimation without adaptive measurements

Reference 34

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local_arxiv, observed 2026-08-16T04:46:29.820195Z

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

source=pdf_text observed=2026-08-16T04:46:29.524032Z digest=sha256:185549bf7edb154658f77727520588b73229d34d4d38dd9b8214ad89b4e74462

Observation e2c658df-be45-472d-bbed-d163841929e2 · outbound

This paper cites an unresolved cited work.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Unresolved cited work

Reference 35

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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 25b95e3a-3d48-43e2-ac58-8c82147cb047 · outbound

This paper cites an unresolved cited work.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Unresolved cited work

Reference 36

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

source=pdf_text observed=2026-08-16T04:46:29.532483Z digest=sha256:01b45ce73439014e8177d4cf0ddbbc40a4529e5f2df478d73a5e69c83e54d6d3

Observation 44a88013-19e7-418a-8424-ced3c72948b4 · outbound

This paper cites an unresolved cited work.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Unresolved cited work

Reference 37

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raw_fallback, observed 2026-08-16T04:46:30.363025Z

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=pdf_text observed=2026-08-16T04:46:29.536372Z digest=sha256:315be1b4190baf5a0e8229140366bb86f9e952b8a8899552c898af7f5ae1e0ff

Observation a586857a-2aaa-4480-8c1e-fad61b87c665 · outbound

This paper cites Amplitude estimation without phase estimation.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Amplitude estimation without phase estimation

Reference 38

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source=pdf_text observed=2026-08-16T04:46:29.540061Z digest=sha256:25c389e81c8a547053c7b186e118aba6215a5fd08faef41f8a255d7b331efe5e

Observation 83967aa1-d474-4847-871e-63bdc96534e3 · outbound

This paper cites an unresolved cited work.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Unresolved cited work

Reference 39

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source=pdf_text observed=2026-08-16T04:46:29.544102Z digest=sha256:80f1dc8b7351c1dbfd2fe3805bd731573b7905b1ba176f4e5bdbb5286bd5bff8

Observation dd46f503-ead1-48b5-9eaa-24dc4aac4b03 · outbound

This paper cites an unresolved cited work.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Unresolved cited work

Reference 40

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

source=pdf_text observed=2026-08-16T04:46:29.547992Z digest=sha256:b023c5927d2267b0adf0e1e5e0034c8d238e75aa882c6646041a215591b099c5

Observation 0133adaa-5aa3-4ea0-b2ad-e38e20f82eb1 · outbound

This paper cites Babbush, C.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Babbush, C

Reference 41

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source=pdf_text observed=2026-08-16T04:46:29.551893Z digest=sha256:6673d58c9c5c28806060e3b53b9bfee31b951d0dae08568296a44eac692e117b

Observation 50f355d8-7e09-4ea8-80ec-9a047a662582 · outbound

This paper cites an unresolved cited work.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Unresolved cited work

Reference 42

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source=pdf_text observed=2026-08-16T04:46:29.556128Z digest=sha256:19daa9600357932e23ccc58abc7d7e6a07cebdfb5acd8c913e32d558292a6c53

Observation 0057ce88-c934-4fd3-808e-90087a09b81d · outbound

This paper cites [32] provides anϵ-precise block-encoding of 2M π2⌈log2M⌉ , but we ignore this normalization factor as it can be adjusted to unity via uniform singular value amplification.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation [32] provides anϵ-precise block-encoding of 2M π2⌈log2M⌉ , but we ignore this normalization factor as it can be adjusted to unity via uniform singular value amplification

Reference 43

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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=pdf_text observed=2026-08-16T04:46:29.560714Z digest=sha256:774ffc640a028b9b69614968017e5474397f1018258f7e0aa78cdf4e58edd7fa

Observation 52810ef5-74c3-4b34-a9a2-f2cace8f987b · outbound

This paper cites Rendon, T.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Rendon, T

Reference 44

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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=pdf_text observed=2026-08-16T04:46:29.564533Z digest=sha256:6a3bf3d16d81e202d1c66065a3963b24abeee5879d49ea8cd1b5947959450580

Observation b617d0c9-51c8-4bae-82da-add94c0f9e56 · outbound

This paper cites A case study against QSVT: assessment of quantum phase estimation improved by signal processing techniques.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation A case study against QSVT: assessment of quantum phase estimation improved by signal processing techniques

Reference 45

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-16T04:46:29.568506Z digest=sha256:f3ce51d6b30d13d6bc540e5073adb0bf9968165fc09ee2f526ad0b7d24b9ec5b

Observation 8607ab9e-3a05-43f2-bacc-75affa14bc92 · outbound

This paper cites Optimal Coherent Quantum Phase Estimation via Tapering.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Optimal Coherent Quantum Phase Estimation via Tapering

Reference 46

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source=pdf_text observed=2026-08-16T04:46:29.572482Z digest=sha256:461db4298183d25df318b65906113c315fb7933ef59ecbfd6d0348da0dd2c14b

Observation 2f6c83d3-05dc-4527-adac-e954633de69b · outbound

This paper cites Quantum state preparation via piecewise QSVT.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Quantum state preparation via piecewise QSVT

Reference 47

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local_arxiv, observed 2026-08-16T04:46:29.745987Z

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=pdf_text observed=2026-08-16T04:46:29.576383Z digest=sha256:0ad12ad6405ca3657be69fa43e091782795613aeb7c01a7a26b9b13953f6c237

Observation 33ed6ce1-756c-4031-9b7b-dd39b46a635d · outbound

This paper cites Unitary Designs of Symmetric Local Random Circuits.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Unitary Designs of Symmetric Local Random Circuits

Reference 48

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local_arxiv, observed 2026-08-16T04:46:29.726848Z

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=pdf_text observed=2026-08-16T04:46:29.580610Z digest=sha256:4b29ee5b2d1eeb0ee92b9eda0a2b97ccf4af4a2821523fa30011931b9285afa8

Observation ca6b79f7-996b-45ba-984d-290094d49c2c · outbound

This paper cites an unresolved cited work.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Unresolved cited work

Reference 49

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:46:29.584702Z digest=sha256:b516ac8cce0c0b99e6960e891fc0b2e7b794cd9e78a20476d009dd925b841fb5

Observation a13480f1-f713-43f5-9e8e-b52bd0fdf515 · outbound

This paper cites an unresolved cited work.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Unresolved cited work

Reference 50

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source=pdf_text observed=2026-08-16T04:46:29.588666Z digest=sha256:eedaa2a98f674bae95b9ecae31a0f05d54658362831d099498049e30afeb992e

Observation b192596a-4124-4153-a0a2-be8ed4f4e642 · outbound

This paper cites Babbush, W.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Babbush, W

Reference 51

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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=pdf_text observed=2026-08-16T04:46:29.593020Z digest=sha256:4a50c5f40c4fbc6461035b7a2fd3e8865fc59eb3b86375f68155ed27f8625e5f

Observation e919cd34-ab26-4613-b978-29246e0c79a6 · outbound

This paper cites Fermionic tomography and learning.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Fermionic tomography and learning

Reference 52

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source=pdf_text observed=2026-08-16T04:46:29.596887Z digest=sha256:1c813d53801accecad72ff1f4dc763c6738187a3b1756774352f9a35af42a062

Observation 3703413d-8b25-4dc4-a402-469d73ebb62e · outbound

This paper cites Gilyén, Y.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Gilyén, Y

Reference 53

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source=pdf_text observed=2026-08-16T04:46:29.601278Z digest=sha256:2a7bc96ac2828f4a1c1d479bcc5c248342be96fd94964dcef9ad4d8756967eed

Observation 8089dc2f-7f32-4c23-b1ee-fd7217bd1756 · outbound

This paper cites Kimmel, G.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Kimmel, G

Reference 54

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

source=pdf_text observed=2026-08-16T04:46:29.605240Z digest=sha256:609fecbf63daab20de700b7e57208aceaef5992faffdc7b6a177562cb2d48bfa

Observation b99c0f0b-895f-4191-8b72-d486be86f00d · outbound

This paper cites an unresolved cited work.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Unresolved cited work

Reference 55

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

source=pdf_text observed=2026-08-16T04:46:29.609089Z digest=sha256:e6b8e50722f374ce587d736ea13426abcf77e2a10e2c89b2d52a94dff9d64c5a

Observation 60a98b8f-9174-43d4-9ba5-c51a80a6bb1d · outbound

This paper cites Hamiltonian Simulation by Uniform Spectral Amplification.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Hamiltonian Simulation by Uniform Spectral Amplification

Reference 56

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source=pdf_text observed=2026-08-16T04:46:29.612978Z digest=sha256:7bfab3430759eb820b92b4125645f8038e08eb029640ca363528c700183045da

Observation 1f67a00e-9d1f-4489-8869-4989e6cf051d · outbound

This paper cites Hamiltonian simulation for low-energy states with optimal time dependence.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Hamiltonian simulation for low-energy states with optimal time dependence

Reference 57

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source=pdf_text observed=2026-08-16T04:46:29.617168Z digest=sha256:0e8eba2fe5af3d001c9e17377e72fd33c9df9984d3019f0503ca0eac2761ebdf

Observation 1e81c837-e92b-458d-9c57-8f5c1da9a7fc · outbound

This paper cites an unresolved cited work.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Unresolved cited work

Reference 58

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

source=pdf_text observed=2026-08-16T04:46:29.621318Z digest=sha256:985778352d149a9514590840b1eb6e9835e087c12f9c5327bb5bde65250f3a10

Observation 94f61477-b71d-4fda-8214-e22c3404f73a · outbound

This paper cites [58] and Theorem 35 in Ref.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation [58] and Theorem 35 in Ref

Reference 59

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source=pdf_text observed=2026-08-16T04:46:29.625685Z digest=sha256:9da2717b019e84f41d1358fc4c11d46db39d145883e775c2cc480685ee85f6e5

Observation 9d9e7e48-cada-42a3-ba25-f399190ba20d · outbound

This paper cites Notably, our target bound involves the cumulative distribution function (CDF), which is generally intractable to compute analytically.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Notably, our target bound involves the cumulative distribution function (CDF), which is generally intractable to compute analytically

Reference 60

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

source=pdf_text observed=2026-08-16T04:46:29.629695Z digest=sha256:c732aa2aee2d9ee6d4ebc95ea22d02fe1b04e60d2fbb83446ef6539cbb86c863

Observation 29a7c5a5-e8b1-4c44-85cf-2c0e8f041da9 · outbound

This paper cites RX r=1 Zr≥ R 2 # (D19) = 1− Pr.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation RX r=1 Zr≥ R 2 # (D19) = 1− Pr

Reference 61

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raw_fallback, observed 2026-08-16T04:46:29.963499Z

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source=pdf_text observed=2026-08-16T04:46:29.633587Z digest=sha256:45c9b8eb44656053b3e9364840942d069a66ba716f21b2c5d7f51298dfa0fae1

Observation 846789ce-a1fc-489f-b9a4-a90f6d2b668a · outbound

This paper cites an unresolved cited work.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation Unresolved cited work

Reference 62

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

source=pdf_text observed=2026-08-16T04:46:29.638134Z digest=sha256:617339bbda7648a5e41cbf997739227c153120aee9b7d8b69b78b143810626c4

Observation 02845a64-70d0-46df-b49f-f5866727f6c3 · outbound

This paper cites wWVfoWEYqDAAFZX/N2qiMIXlAe0=.

Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation wWVfoWEYqDAAFZX/N2qiMIXlAe0=

Reference 63

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

source=pdf_text observed=2026-08-16T04:46:29.642066Z digest=sha256:7d83cf95f44dc8d0c6a3d5aa7f5741e038990fc18da848f5476cc5b536d11cc0

Pith citing papers

Observation 605e7d31-aa7b-43ec-a81f-487344f77425 · inbound

Faster Quantum Algorithm for Multiple Observables Estimation in Fermionic Problems cites this paper.

Faster Quantum Algorithm for Multiple Observables Estimation in Fermionic Problems Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation

Reference 35

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:52:00.177470Z digest=sha256:83fc3dcb9cc157d64b418b1a1a55930e351c3411c78f2ef9bcb265c932865414

Observation c6d101c5-d663-4e19-905e-70f961f9fed3 · inbound

Near-Heisenberg-limited parallel amplitude estimation with logarithmic depth circuit cites this paper.

Near-Heisenberg-limited parallel amplitude estimation with logarithmic depth circuit Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation

Reference 65

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arxiv_id, observed 2026-06-24T02:14:20.619538Z

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

source=pdf_text observed=2026-05-19T01:05:09.904208Z digest=sha256:02a5e9b6e21dcb8038d48fc17c9f7997cf011af8a387887aa647066a621c4c8a

Observation 39478d88-1345-44a8-a3d9-6649abd126c2 · inbound

Near-Heisenberg-limited parallel amplitude estimation with logarithmic depth circuit cites this paper.

Near-Heisenberg-limited parallel amplitude estimation with logarithmic depth circuit Comprehensive Study on Heisenberg-limited Quantum Algorithms for Multiple Observables Estimation

Reference 65

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no resolver link, observed 2026-08-05T23:07:26.896581Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T23:07:26.896581Z digest=sha256:384ea4f096202e1f5fc994918408c4b82ad6e6214f0f3dd40c6ea04d6f7c2a36