Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-03T12:54:38.933414Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-03T12:54:38.933414Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
79 of 79 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 8a1f0f48-f6bb-467f-bca6-865c7c21343c · outbound
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
Source-reported events for the cited work
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Observation 20b0f8bd-6a2d-4e1c-9d91-b4d86852dcac · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 2
Source-reported events for the cited work
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Observation 7b586743-562e-41b2-b029-57ead489b6cd · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation For convenience, we call this family the Bayesianλ-posterior variance bound
Reference 3
Source-reported events for the cited work
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Observation 286b4d39-9e93-45c5-a383-09820aa8b121 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 4
Source-reported events for the cited work
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Observation 218a1ce2-b878-4734-8f02-fe259cb0e022 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 5
Source-reported events for the cited work
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Observation 322bf30c-44aa-43a5-9590-ebfdcc646690 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Su- per Quantum Entanglement
Reference 6
Source-reported events for the cited work
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Observation 41bd3eeb-0e0c-4275-8ffd-4640a372b80f · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 7
Source-reported events for the cited work
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Observation 8ed040f4-1f11-4055-8f91-db76d54e932a · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Giovannetti, S
Reference 8
Source-reported events for the cited work
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Observation 8a66d0d8-38b1-4750-821d-ae17f4c6fce6 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Demkowicz-Dobrza´ nski, J
Reference 9
Source-reported events for the cited work
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Observation f0d70b2b-a1c8-452b-9acc-597e1e971c4a · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Giovannetti, S
Reference 10
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.
Observation cbe33d33-a600-459e-a36b-e6fb744ea0f9 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 11
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.
Observation 8683cb02-2867-4209-99a0-29cbc8750b36 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Szczykulska, T
Reference 12
Source-reported events for the cited work
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Observation 316874a8-c515-40a6-9c0a-8aee496d1ce8 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 13
Source-reported events for the cited work
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Observation 6f7a7252-c5bf-4251-beb0-f1b6cc2016cf · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Pirandola, R
Reference 14
Source-reported events for the cited work
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Observation ee2521c4-c998-4661-b0d9-adc9fb45fb5a · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation transition probability
Reference 15
Source-reported events for the cited work
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Observation 20632356-e8b4-43fa-b231-419f130d0f31 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 16
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.
Observation 861f089d-05bc-41ba-b6ca-9672b5dc2140 · outbound
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
Source-reported events for the cited work
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Observation 7e4b2460-37c5-4ec1-b73d-0d05ab3573a8 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 18
Source-reported events for the cited work
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Observation 3bc547fb-4a63-4148-8319-8c7ae59ffbf9 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Petz and C
Reference 19
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.
Observation b97a4ae3-7c20-4a5c-ac4a-da9e37f47fa2 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Amari and H
Reference 20
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.
Observation e0fb3fa8-3cd2-4e6f-a7cc-e78e5e809972 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Bengtsson and K
Reference 21
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.
Observation 07d426ea-7e23-4a43-af89-9459c42e16e8 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 22
Source-reported events for the cited work
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Observation 44a99e97-f259-400d-892c-cfb6e76972c4 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 23
Source-reported events for the cited work
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Observation e0b15c94-cf72-4a1a-b12b-6bbb34ce062d · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 24
Source-reported events for the cited work
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Observation 831d324e-3ee3-4ea9-aec3-c7e9bcc8c547 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Escher, R
Reference 25
Source-reported events for the cited work
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Observation 5eb5d382-c207-4781-8c6d-09953bbed65b · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 26
Source-reported events for the cited work
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Observation cdc590fa-1391-44f2-bcc2-128dfa3f26cc · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 27
Source-reported events for the cited work
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Observation 0e200a39-8ed7-4c89-a74a-1a8a03b7f328 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 28
Source-reported events for the cited work
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Observation 8b568aac-2b3e-4cb4-bad8-32a0985172a4 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 29
Source-reported events for the cited work
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Observation 3a4aef4f-9a93-4729-a29c-5840bebe1e6c · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 30
Source-reported events for the cited work
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Observation 00813063-b7ae-4207-b474-97ba4c41011a · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Mahler, L
Reference 31
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.
Observation 4a431660-90cb-406a-8e1f-1567e808cd99 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 32
Source-reported events for the cited work
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Observation 8108bc18-54ea-422f-99b7-3aec75bfbde2 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 33
Source-reported events for the cited work
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Observation e509b0e1-9419-41b4-9f11-a01b0fdd8087 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 34
Source-reported events for the cited work
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Observation ba29aa14-7d37-456c-8163-9870895d403d · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Measurement incompatibility in Bayesian multiparameter quantum estimation
Reference 35
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.
Observation 0d53c740-b867-4c86-9fa6-a68cfd6724bf · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Rubio and J
Reference 36
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.
Observation 2ad8fa8a-121f-4351-9c3e-879aef9a006b · outbound
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
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.
Observation aba9c007-cb5c-4e56-b609-a46bc6a8c76e · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 38
Source-reported events for the cited work
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Observation 98775b66-5f5d-4799-85fa-e18f8f2d7b0e · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Gebhart, A
Reference 39
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.
Observation 2ac37443-3698-446b-824f-229c2c598c44 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Petz, Monotone metrics on matrix spaces, Linear al- gebra and its applications244, 81 (1996)
Reference 40
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.
Observation 2b87689c-a8ea-48f7-8d0e-da682a5224ae · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Lesniewski and M
Reference 41
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.
Observation 66f058cc-1ee7-4839-a086-b55861734e7d · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 42
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.
Observation 1d70748a-82a2-4d63-9301-44500e962991 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Introduction to quantum Fisher information
Reference 43
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.
Observation e860853f-8df4-4042-91eb-3be3b57c2041 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 44
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.
Observation 3d35561e-0166-479c-a4a2-6b0c8a749742 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 45
Source-reported events for the cited work
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Observation d02f3622-d351-42e8-97b8-38594229008b · outbound
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
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.
Observation 9f6a927c-7cd4-416c-877f-6168ab5b5c11 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Razavian, M
Reference 47
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.
Observation 66be6daf-191e-43b6-85fb-1b3344136ca3 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 48
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.
Observation 3c9935a6-8a83-4d61-be9c-f51b8aa428f5 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Hayashi and Y
Reference 49
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.
Observation d5ec0cd2-3c20-405e-bd32-b046ec51ff5a · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 50
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.
Observation 181a1d52-b894-4c39-91af-472fcc3e7229 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 51
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.
Observation 91d1235b-3638-4885-9b8f-281bc88df8c6 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Albarelli, J
Reference 52
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.
Observation 69c6dcce-78d7-4195-80ee-65fe659315ec · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation G´ orecki, R
Reference 53
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.
Observation 74b64891-00eb-44ad-a929-8f71afa8787c · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 54
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.
Observation ebae4bc9-983c-4119-95ca-1c7324017705 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 55
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.
Observation 4b49fbc9-307d-4cd3-9eee-5d385e0bb952 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Personick, Application of quantum estimation theory to analog communication over quantum channels, IEEE Trans
Reference 56
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.
Observation a1224cf1-d755-48ca-b5a9-c3a2a0d71173 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 57
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.
Observation 0b8303c1-ce0d-41bd-bad4-e1af0d2a06e6 · outbound
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
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.
Observation d4c4c477-45d0-40dc-9b05-6e2f9bc3cc05 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 59
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.
Observation 6e5bafe5-dec5-4e1a-86be-d5b426a133e3 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Yuen and M
Reference 60
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.
Observation 8c17377e-248a-4964-9ba6-b6c717e8f1b7 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 61
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.
Observation 1f81771b-e5a8-4c5b-88ad-698438cf155e · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 62
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.
Observation 558e87a6-2a2d-496f-af5b-7ab36d649cef · outbound
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
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.
Observation 8aee9c99-af50-454e-9236-befb3f8bd21a · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Rubio and J
Reference 64
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.
Observation 420f51da-fd6e-4b53-8e0c-f1819976cb39 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Demkowicz-Dobrza´ nski, W
Reference 65
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.
Observation 9707f392-a3a0-47c2-9d6b-c2bb83c66af3 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 66
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.
Observation 558a08f4-37a2-43c8-af6c-3c383281fd35 · outbound
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
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.
Observation 8ad548d6-c8cd-4002-a8be-193239b96391 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation The set of all Hermitian matrices is denoted byM H d
Reference 68
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.
Observation 03b107ee-63b8-4ca9-9df5-1a793f11ddb3 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Unresolved cited work
Reference 69
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.
Observation c3d307ef-fc62-45cc-825d-c7090513aa5a · outbound
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
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.
Observation e2ba3ac5-f08e-47ac-8550-17908dca68f5 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Letfbe operator monotone on(0,∞)withf(1) = 1
Reference 71
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.
Observation bb799f0a-dc86-4425-aa55-0c06f6e27748 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation [28]) to prove the corollary
Reference 72
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.
Observation f2a755c5-750f-42d5-a7ce-c027dee94f05 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation (19), we note that the monotonicity of the Bayesian metric (11)
Reference 73
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.
Observation 9eb09189-b07b-41d6-99c8-437a31bb5836 · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation [52] and we give a short version of it here
Reference 74
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.
Observation d6afdb81-78dc-4ff2-9106-e00ad181a6c5 · outbound
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
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.
Observation df7d6c3a-e0e0-4b71-adc4-180b6a2c68ec · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation Taking the maximum overλ, we get the desired statement
Reference 76
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.
Observation c7831242-7d59-40ae-8daa-069a1304736c · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation The prior is i.i.d
Reference 77
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.
Observation 643c4060-8283-4a9a-ab6b-73bd7ef9414c · outbound
Bayesian Monotone Metrics for Multiparameter Quantum Estimation The Bloch vector is sθ = θ1 cosθ 2 θ1 sinθ 2 0
Reference 78
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.
Observation 430d7693-0475-4067-a7ec-b1859ca9fd5a · outbound
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
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.
No inbound Pith citation observations are available.