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Paper Citation Record · LEDGER

Bayesian Monotone Metrics for Multiparameter Quantum Estimation

As of 10 August 2026, this Paper Citation Record lists 79 of 79 outbound references and 0 inbound Pith citation observations for arXiv:2607.01685.

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

pith.paper-citation-record.v1
2607.01685 v1

Coverage vector

measured 79 of 79 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-03T12:54:38.933414Z

measured 79 of 79 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

79 of 79 outbound references displayed

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  • verified fuzzy43
  • unresolved34
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8a1f0f48-f6bb-467f-bca6-865c7c21343c · outbound

This paper cites Theorem 7(Quantum posterior variance).Given any operator monotone functionf, the Bayesian MSE is bounded by Quantum posterior variance VB[ˆΠ]≥M−K f B.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Theorem 7(Quantum posterior variance).Given any operator monotone functionf, the Bayesian MSE is bounded by Quantum posterior variance VB[ˆΠ]≥M−K f B

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 20b0f8bd-6a2d-4e1c-9d91-b4d86852dcac · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 2

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 7b586743-562e-41b2-b029-57ead489b6cd · outbound

This paper cites For convenience, we call this family the Bayesianλ-posterior variance bound.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation For convenience, we call this family the Bayesianλ-posterior variance bound

Reference 3

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 286b4d39-9e93-45c5-a383-09820aa8b121 · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 218a1ce2-b878-4734-8f02-fe259cb0e022 · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 322bf30c-44aa-43a5-9590-ebfdcc646690 · outbound

This paper cites Su- per Quantum Entanglement.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Su- per Quantum Entanglement

Reference 6

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 41bd3eeb-0e0c-4275-8ffd-4640a372b80f · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum 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 2026-08-10T06:31:04.303077+00:00.

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Observation 8ed040f4-1f11-4055-8f91-db76d54e932a · outbound

This paper cites Giovannetti, S.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Giovannetti, S

Reference 8

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 8a66d0d8-38b1-4750-821d-ae17f4c6fce6 · outbound

This paper cites Demkowicz-Dobrza´ nski, J.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Demkowicz-Dobrza´ nski, J

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation f0d70b2b-a1c8-452b-9acc-597e1e971c4a · outbound

This paper cites Giovannetti, S.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Giovannetti, S

Reference 10

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Observation cbe33d33-a600-459e-a36b-e6fb744ea0f9 · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 11

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 8683cb02-2867-4209-99a0-29cbc8750b36 · outbound

This paper cites Szczykulska, T.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Szczykulska, T

Reference 12

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 316874a8-c515-40a6-9c0a-8aee496d1ce8 · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 13

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 6f7a7252-c5bf-4251-beb0-f1b6cc2016cf · outbound

This paper cites Pirandola, R.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Pirandola, R

Reference 14

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation ee2521c4-c998-4661-b0d9-adc9fb45fb5a · outbound

This paper cites transition probability.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation transition probability

Reference 15

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 20632356-e8b4-43fa-b231-419f130d0f31 · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 16

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 861f089d-05bc-41ba-b6ca-9672b5dc2140 · outbound

This paper cites H¨ ubner, Explicit computation of the bures distance for density matrices, Physics Letters A163, 239 (1992).

Bayesian Monotone Metrics for Multiparameter Quantum Estimation H¨ ubner, Explicit computation of the bures distance for density matrices, Physics Letters A163, 239 (1992)

Reference 17

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Observation 7e4b2460-37c5-4ec1-b73d-0d05ab3573a8 · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 18

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 3bc547fb-4a63-4148-8319-8c7ae59ffbf9 · outbound

This paper cites Petz and C.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Petz and C

Reference 19

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation b97a4ae3-7c20-4a5c-ac4a-da9e37f47fa2 · outbound

This paper cites Amari and H.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Amari and H

Reference 20

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation e0fb3fa8-3cd2-4e6f-a7cc-e78e5e809972 · outbound

This paper cites Bengtsson and K.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Bengtsson and K

Reference 21

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Observation 07d426ea-7e23-4a43-af89-9459c42e16e8 · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 22

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Observation 44a99e97-f259-400d-892c-cfb6e76972c4 · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 23

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation e0b15c94-cf72-4a1a-b12b-6bbb34ce062d · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 24

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Observation 831d324e-3ee3-4ea9-aec3-c7e9bcc8c547 · outbound

This paper cites Escher, R.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Escher, R

Reference 25

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Observation 5eb5d382-c207-4781-8c6d-09953bbed65b · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 26

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Observation cdc590fa-1391-44f2-bcc2-128dfa3f26cc · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 27

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 0e200a39-8ed7-4c89-a74a-1a8a03b7f328 · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 28

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 8b568aac-2b3e-4cb4-bad8-32a0985172a4 · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 29

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Observation 3a4aef4f-9a93-4729-a29c-5840bebe1e6c · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 30

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 00813063-b7ae-4207-b474-97ba4c41011a · outbound

This paper cites Mahler, L.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Mahler, L

Reference 31

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 4a431660-90cb-406a-8e1f-1567e808cd99 · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 32

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 8108bc18-54ea-422f-99b7-3aec75bfbde2 · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 33

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation e509b0e1-9419-41b4-9f11-a01b0fdd8087 · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 34

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raw_fallback, observed 2026-07-05T08:00:47.979062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation ba29aa14-7d37-456c-8163-9870895d403d · outbound

This paper cites Measurement incompatibility in Bayesian multiparameter quantum estimation.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Measurement incompatibility in Bayesian multiparameter quantum estimation

Reference 35

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 0d53c740-b867-4c86-9fa6-a68cfd6724bf · outbound

This paper cites Rubio and J.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Rubio and J

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.984033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:33b75977f480d33ac522c5b99f963db1532b3dae5ff1fecfa93fa9a3202063c3

Observation 2ad8fa8a-121f-4351-9c3e-879aef9a006b · outbound

This paper cites Tsang, Physics-inspired forms of the bayesian cram´ er- rao bound, Physical Review A102, 062217 (2020).

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Tsang, Physics-inspired forms of the bayesian cram´ er- rao bound, Physical Review A102, 062217 (2020)

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.909779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:c87a2728bdeca68c6f470ffc07e02d52b200e38b01955acbbadf065d9a868d7a

Observation aba9c007-cb5c-4e56-b609-a46bc6a8c76e · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-07-05T08:00:47.964001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:b4f55de79ab488154978ee453da0fa160572432d4f5d02ab8d2fae32a44608c4

Observation 98775b66-5f5d-4799-85fa-e18f8f2d7b0e · outbound

This paper cites Gebhart, A.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Gebhart, A

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.965635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:138e4ba81f36721823889bc834cec5f6fd50e7bd163e30ee3eafb1fcc3c4aa8e

Observation 2ac37443-3698-446b-824f-229c2c598c44 · outbound

This paper cites Petz, Monotone metrics on matrix spaces, Linear al- gebra and its applications244, 81 (1996).

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Petz, Monotone metrics on matrix spaces, Linear al- gebra and its applications244, 81 (1996)

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.893248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:35d16ec311ae19fbf009eb7b6d1a7b24425ffb848c472c1f4039f0302e4543e1

Observation 2b87689c-a8ea-48f7-8d0e-da682a5224ae · outbound

This paper cites Lesniewski and M.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Lesniewski and M

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.970980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:9cfce0be292efb70a3559ea05b3c1632cd3c80c637712a4dba708a00f703243f

Observation 66f058cc-1ee7-4839-a086-b55861734e7d · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-07-05T08:00:47.972617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:79aefe6071c281d552963597f0547edd436ee5916889bb1d5d220fd22b8cdbdd

Observation 1d70748a-82a2-4d63-9301-44500e962991 · outbound

This paper cites Introduction to quantum Fisher information.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Introduction to quantum Fisher information

Reference 43

Resolution
verified exact
local_arxiv, observed 2026-07-03T12:58:07.401171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:94090d7889e11f67978f093589176bafa6bcb78e3a1f8a173b8ee34622dae25e

Observation e860853f-8df4-4042-91eb-3be3b57c2041 · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-07-05T08:00:47.891481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:1e047ee62c1c373852de29b68a32069bc695f7d03bb21d3b8b8ee5da95201456

Observation 3d35561e-0166-479c-a4a2-6b0c8a749742 · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-07-05T08:00:47.887678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:4a64a36749698bef1b537e3f61dae8f3b66272fb27680e9ace1b26112a98ad6a

Observation d02f3622-d351-42e8-97b8-38594229008b · outbound

This paper cites Matsumoto, A new approach to the cram´ er-rao-type bound of the pure-state model, Journal of Physics A: Mathematical and General35, 3111 (2002).

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Matsumoto, A new approach to the cram´ er-rao-type bound of the pure-state model, Journal of Physics A: Mathematical and General35, 3111 (2002)

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.889627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:255f2880cd8fee285645317388e557d2d6cc4265a33d082451b4689d3e9da346

Observation 9f6a927c-7cd4-416c-877f-6168ab5b5c11 · outbound

This paper cites Razavian, M.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Razavian, M

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.880686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:58da17aae55e50731e2bb7f1bf2303293ab335aefdc85288bb3281f4d334a4b9

Observation 66be6daf-191e-43b6-85fb-1b3344136ca3 · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-07-05T08:00:47.884188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:03419faf45abaad3944d14689dfae6deef68eb61ede494b5531032ae84df2980

Observation 3c9935a6-8a83-4d61-be9c-f51b8aa428f5 · outbound

This paper cites Hayashi and Y.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Hayashi and Y

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.900576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:20fea8794ee9cdf077c64b46eed86a05c257678b8510e3eaad684eaa8a0c03f9

Observation d5ec0cd2-3c20-405e-bd32-b046ec51ff5a · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-07-05T08:00:47.880846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:1b9bef6a12bc0871531ac793b89a88f0433339bdeed5fcb682ab24c05eede72d

Observation 181a1d52-b894-4c39-91af-472fcc3e7229 · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-07-05T08:00:47.875616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:fd017decdc9751101bf9f88d8d19ea2a69e5a13f932bc160c4c86663c702373e

Observation 91d1235b-3638-4885-9b8f-281bc88df8c6 · outbound

This paper cites Albarelli, J.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Albarelli, J

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.877323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:4fd7807668d9770636ab075c590e9cd415a8f5b4e74c3ffc56f9b5a7055868d1

Observation 69c6dcce-78d7-4195-80ee-65fe659315ec · outbound

This paper cites G´ orecki, R.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation G´ orecki, R

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.896094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:e01873099f61fd2f201df015b89f8b12ebf60a9e2b1351e8a9d4ea69757bbb3b

Observation 74b64891-00eb-44ad-a929-8f71afa8787c · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-07-05T08:00:47.882492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:02c1c063e282e4f6b9fe86a45ffcb2951f58162f2384f291f3a35dbb26201909

Observation ebae4bc9-983c-4119-95ca-1c7324017705 · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-07-05T08:00:47.869799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:3848e1cc0faaff4b2a72818a1769405d2fe4200364b44438f37c9854247afac7

Observation 4b49fbc9-307d-4cd3-9eee-5d385e0bb952 · outbound

This paper cites Personick, Application of quantum estimation theory to analog communication over quantum channels, IEEE Trans.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Personick, Application of quantum estimation theory to analog communication over quantum channels, IEEE Trans

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.997310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:a26546b9673257de0abc48d5088c23fbaab366df1a1b08de858d23a1f6987436

Observation a1224cf1-d755-48ca-b5a9-c3a2a0d71173 · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-07-05T08:00:47.967539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:f5bff1db0eb18fb4d6ebd875338bf675426a34d8f545ffcc940f2ff7674e22e1

Observation 0b8303c1-ce0d-41bd-bad4-e1af0d2a06e6 · outbound

This paper cites Yamagata, Maximum logarithmic derivative bound on quantum state estimation as a dual of the holevo bound, Journal of Mathematical Physics62(2021).

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Yamagata, Maximum logarithmic derivative bound on quantum state estimation as a dual of the holevo bound, Journal of Mathematical Physics62(2021)

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.865993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:55b814b2e4c037ff1bb4314065cff7d6dcd98caf1b521894eeea4509caa0422c

Observation d4c4c477-45d0-40dc-9b05-6e2f9bc3cc05 · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 59

Resolution
unresolved
raw_fallback, observed 2026-07-05T08:00:47.867901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:31759aee76fab1ec66d121f8cf5cf47630f65efa573a12637d01c25c73f1aca3

Observation 6e5bafe5-dec5-4e1a-86be-d5b426a133e3 · outbound

This paper cites Yuen and M.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Yuen and M

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.957179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:81cc022030deb76d5a8f26e24eb2495bec957bc826867d4c036288d6c38dfc12

Observation 8c17377e-248a-4964-9ba6-b6c717e8f1b7 · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 61

Resolution
unresolved
raw_fallback, observed 2026-07-05T08:00:47.965839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:25852dd31eb9a1dddf7871810a70639bbb49d9214dc479cbfe069da139f4c6a1

Observation 1f81771b-e5a8-4c5b-88ad-698438cf155e · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 62

Resolution
unresolved
raw_fallback, observed 2026-07-05T08:00:47.862571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:f9dad04432c3ff2bb9598a0ba8ed8c5a859620182e71d9fd2caf85f83847760b

Observation 558e87a6-2a2d-496f-af5b-7ab36d649cef · outbound

This paper cites Suzuki, Non-monotone metric on the quantum para- metric model, The European Physical Journal Plus136, 1 (2021).

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Suzuki, Non-monotone metric on the quantum para- metric model, The European Physical Journal Plus136, 1 (2021)

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.949666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:03cc198701f01429003677d93b4a64b524b15da29d48982d8dec5f6720a123c8

Observation 8aee9c99-af50-454e-9236-befb3f8bd21a · outbound

This paper cites Rubio and J.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Rubio and J

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.947778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:c5f5080019a0df3898351ce6bbc902c9b6e3d215546d29c1c0f690a53331e237

Observation 420f51da-fd6e-4b53-8e0c-f1819976cb39 · outbound

This paper cites Demkowicz-Dobrza´ nski, W.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Demkowicz-Dobrza´ nski, W

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.860921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:60b772f9b7982bc573339465e48ded616b0dde27b17502c8fc280edef503b605

Observation 9707f392-a3a0-47c2-9d6b-c2bb83c66af3 · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 66

Resolution
unresolved
raw_fallback, observed 2026-07-05T08:00:47.864230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:d2946011a711ba2ac3c522893154cd6b8755481efb01a2abd915c5790c0b01c9

Observation 558a08f4-37a2-43c8-af6c-3c383281fd35 · outbound

This paper cites Hayashi, On simultaneous measurement of noncom- mutative observables, Surikaisekikenkyusho (RIMS), Ky- oto Univ., Kokyuroku (in japanese) , 1099 (1999).

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Hayashi, On simultaneous measurement of noncom- mutative observables, Surikaisekikenkyusho (RIMS), Ky- oto Univ., Kokyuroku (in japanese) , 1099 (1999)

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.962184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:0326d8291c1e03b4a5c646f5ab3432020b14655dcfffd4d2b1ee3601ca5cd748

Observation 8ad548d6-c8cd-4002-a8be-193239b96391 · outbound

This paper cites The set of all Hermitian matrices is denoted byM H d.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation The set of all Hermitian matrices is denoted byM H d

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.958421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:590fb83ba9728275d4d88a35139a15876beb6f7a114e8928f7cd427312a15b47

Observation 03b107ee-63b8-4ca9-9df5-1a793f11ddb3 · outbound

This paper cites an unresolved cited work.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work

Reference 69

Resolution
unresolved
raw_fallback, observed 2026-07-05T08:00:47.885963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:16c08e7b809978f6da83063bb313d21edd6a4f817c7e937846d8f38b3298bc79

Observation c3d307ef-fc62-45cc-825d-c7090513aa5a · outbound

This paper cites If{K α}satisfies P α K † αKα =Iand eachX α >0, then f X α K † αXαKα ! ≥ X α K † αf(X α)Kα.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation If{K α}satisfies P α K † αKα =Iand eachX α >0, then f X α K † αXαKα ! ≥ X α K † αf(X α)Kα

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.907820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:ef0fd0f94dd9c4b07e40f18fb5538042650f73c64623cb9927a1c4e8fd8ffd43

Observation e2ba3ac5-f08e-47ac-8550-17908dca68f5 · outbound

This paper cites Letfbe operator monotone on(0,∞)withf(1) = 1.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Letfbe operator monotone on(0,∞)withf(1) = 1

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.952922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:c2c798fec638ee7957331bf3a0cef9af7d019dd0148b4d0ec41f084992a55965

Observation bb799f0a-dc86-4425-aa55-0c06f6e27748 · outbound

This paper cites [28]) to prove the corollary.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation [28]) to prove the corollary

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.981664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:3c96401af8fa6e2b736e2b0900d9da9e958d518998a8ceb14bc138c2a2400442

Observation f2a755c5-750f-42d5-a7ce-c027dee94f05 · outbound

This paper cites (19), we note that the monotonicity of the Bayesian metric (11).

Bayesian Monotone Metrics for Multiparameter Quantum Estimation (19), we note that the monotonicity of the Bayesian metric (11)

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.845325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:608dbaeba52fdbd3432f6573f78ed9f2b13b695cdf61f20138eb7ff68ca172ec

Observation 9eb09189-b07b-41d6-99c8-437a31bb5836 · outbound

This paper cites [52] and we give a short version of it here.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation [52] and we give a short version of it here

Reference 74

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.847165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:7a9b040e43dba5da2b7cde6b1efece2ee7ac879ce8f07019e648ac4da662e1c8

Observation d6afdb81-78dc-4ff2-9106-e00ad181a6c5 · outbound

This paper cites Eq.(26) We prove M−K f B ≥ h ⟨Ef,i B −θ iI, E f,j B −θ jI⟩ f π(θ),ρθ i.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Eq.(26) We prove M−K f B ≥ h ⟨Ef,i B −θ iI, E f,j B −θ jI⟩ f π(θ),ρθ i

Reference 75

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.849002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:33676ea86521187dbcfb32a05a2a67b4a8c4adfb08c4f745ec300c349ec3f390

Observation df7d6c3a-e0e0-4b71-adc4-180b6a2c68ec · outbound

This paper cites Taking the maximum overλ, we get the desired statement.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation Taking the maximum overλ, we get the desired statement

Reference 76

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.983194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:b3132c7968db122497e5312794402fbe2107da710ea5b9ccabff699933a747dd

Observation c7831242-7d59-40ae-8daa-069a1304736c · outbound

This paper cites The prior is i.i.d.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation The prior is i.i.d

Reference 77

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.857507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:c5ea4b7d65f9d1bcd497cf487a777bdb1976e0ad73bab3fec09fe8be8dccb95c

Observation 643c4060-8283-4a9a-ab6b-73bd7ef9414c · outbound

This paper cites The Bloch vector is sθ =   θ1 cosθ 2 θ1 sinθ 2 0  .

Bayesian Monotone Metrics for Multiparameter Quantum Estimation The Bloch vector is sθ =   θ1 cosθ 2 θ1 sinθ 2 0  

Reference 78

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.842532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:2f955e6a07e96eee30f31139f2c399b84d156c9743b2d9052801eb28e162974b

Observation 430d7693-0475-4067-a7ec-b1859ca9fd5a · outbound

This paper cites prior π(θ) =π 1(θ1)π2(θ2)π3(θ3), π 1 =π 2 =π 3.

Bayesian Monotone Metrics for Multiparameter Quantum Estimation prior π(θ) =π 1(θ1)π2(θ2)π3(θ3), π 1 =π 2 =π 3

Reference 79

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T08:00:47.838326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T12:54:38.933414Z digest=sha256:d56877418f7b107cbb92edee245b6fce83bdc4b660476405abc7fe5001a42cb9

Pith citing papers

No inbound Pith citation observations are available.