Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-01T05:54:43.119597Z
Paper Citation Record · LEDGER
As of 9 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 1 inbound Pith citation observation for arXiv:2606.31205.
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 2026-07-01T05:54:43.119597Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-08T00:53:42.734185Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-08T00:53:43.146606Z
52 of 52 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation e73d277a-c961-4bf3-a96b-3457a85849b7 · outbound
Cumulant-based quantum relative R\'enyi functional Upon rescaling to density opera- torsρ ′ =I/dandσ ′ =I/(2d), one obtains SQ α (ρ′∥σ′) = ln 2,(96) which coincides with the classical Rényi divergence in this commuting setting
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3c958ab9-c67a-484a-a992-e922ba04ddb9 · outbound
Cumulant-based quantum relative R\'enyi functional Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 35840f74-703b-48f2-bd21-017757e66a3d · outbound
Cumulant-based quantum relative R\'enyi functional Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 97d47b6a-2a04-4ab5-9f82-56c160c9fc88 · outbound
Cumulant-based quantum relative R\'enyi functional Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation cc4a4ebe-2ab7-46d3-ab79-209383a4e409 · outbound
Cumulant-based quantum relative R\'enyi functional Unresolved cited work
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation de2c5921-b9c7-4ca4-80fb-8b50af092eb8 · outbound
Cumulant-based quantum relative R\'enyi functional Unresolved cited work
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 4aa75398-4eb9-4a2a-935a-bddea4060d59 · outbound
Cumulant-based quantum relative R\'enyi functional Unresolved cited work
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation a461ddfc-9f03-46d8-902f-898b40958f72 · outbound
Cumulant-based quantum relative R\'enyi functional Kullback and R
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 35086a10-1439-4199-89df-0a0068dffb05 · outbound
Cumulant-based quantum relative R\'enyi functional Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 4efb712c-c565-4e98-930a-0f70dd3a9226 · outbound
Cumulant-based quantum relative R\'enyi functional Rényi, Proc
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3fdff594-aaef-4dc2-a185-584162a333df · outbound
Cumulant-based quantum relative R\'enyi functional van Erven and P
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 62350a18-0e2d-4965-a3f9-67057c3ddfca · outbound
Cumulant-based quantum relative R\'enyi functional Bercher, Physics Letters A373, 3235 (2009)
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e1fecaf0-b320-4ace-bcfd-47d9ab2241b0 · outbound
Cumulant-based quantum relative R\'enyi functional Atar and N
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d235ce8f-3cb0-481b-b0af-a108ec96cc6c · outbound
Cumulant-based quantum relative R\'enyi functional Fuentes and J
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 803e92aa-d147-4662-9253-e8ff9ba9cbb6 · outbound
Cumulant-based quantum relative R\'enyi functional Unresolved cited work
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 84d93f90-e364-4330-9c19-b0de1d830515 · outbound
Cumulant-based quantum relative R\'enyi functional Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 00e25441-4bfd-415c-8d8b-abb2d6e85b4f · outbound
Cumulant-based quantum relative R\'enyi functional Nakarachinda, C
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 4f483876-aad6-41ac-8fc3-99676b943c33 · outbound
Cumulant-based quantum relative R\'enyi functional Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 4f28d51c-4d97-4915-a147-37b37fe2f6a9 · outbound
Cumulant-based quantum relative R\'enyi functional Umegaki, Kodai Math
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e643bf93-7255-4beb-b98c-aef59b67860e · outbound
Cumulant-based quantum relative R\'enyi functional Lindblad, Commun
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 59e815f5-3f40-4a98-9ae7-cec325a9e43a · outbound
Cumulant-based quantum relative R\'enyi functional Hayashi,Quantum Information Theory: Mathemat- ical Foundation(Springer, Berlin, Heidelberg, 2017)
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 6a31e2e2-22c0-4d7d-b29b-31307764e0ca · outbound
Cumulant-based quantum relative R\'enyi functional Petz, Publ
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 0b7e7e26-710c-42ae-a6ab-ac6024b772d5 · outbound
Cumulant-based quantum relative R\'enyi functional Petz, Rep
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d5dd233e-7984-4433-b2b9-246e83937275 · outbound
Cumulant-based quantum relative R\'enyi functional Müller-Lennert, F
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation aa67c005-5101-43f9-8fba-151a6de83956 · outbound
Cumulant-based quantum relative R\'enyi functional Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b1e08542-8eea-4aa2-b0c9-222d1cb913b2 · outbound
Cumulant-based quantum relative R\'enyi functional Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 4353172b-2e05-4d74-bf44-4fde91b6773c · outbound
Cumulant-based quantum relative R\'enyi functional Guarnieri, N
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 2d96edef-1cbb-427a-ad59-9e24e549fc34 · outbound
Cumulant-based quantum relative R\'enyi functional Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3e7d9294-46f7-4d97-9c06-5e2212936066 · outbound
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c6d1c693-8812-4a27-8b65-f3e9294ba987 · outbound
Cumulant-based quantum relative R\'enyi functional Datta, IEEE Trans
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 4b0f0d6f-91bd-400e-98ca-22a70d81b4f4 · outbound
Cumulant-based quantum relative R\'enyi functional Quantum statistical functions
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 85ddce87-f36f-4305-b026-1281d32e59f1 · outbound
Cumulant-based quantum relative R\'enyi functional Unresolved cited work
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 6d484f95-c28f-4e09-a17e-03076aeb3173 · outbound
Cumulant-based quantum relative R\'enyi functional Unresolved cited work
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e157288b-fd97-4d9f-b2c3-936b2df99271 · outbound
Cumulant-based quantum relative R\'enyi functional Quantum channels that preserve the commutativity
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation db38b61a-f524-4cef-ae76-7a8405cb5cf6 · outbound
Cumulant-based quantum relative R\'enyi functional Meunson and T
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b66cf21b-940d-4fca-8e50-13cd8a01630b · outbound
Cumulant-based quantum relative R\'enyi functional Reed and B
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation dadf2c63-ea1f-411d-a893-53defeaf31a1 · outbound
Cumulant-based quantum relative R\'enyi functional Kittaneh and Y
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 9d8f6d49-7c33-4a00-8a32-8fa1f34e22b7 · outbound
Cumulant-based quantum relative R\'enyi functional Kittaneh, Glasgow Mathematical Journal26, 141 (1985)
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b383dcf0-106a-4f9e-9a31-851efdc5f188 · outbound
Cumulant-based quantum relative R\'enyi functional Watrous,The Theory of Quantum Information (Cambridge University Press, Cambridge, 2018)
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 95fd9448-0ac3-444f-8f07-2701eed97b29 · outbound
Cumulant-based quantum relative R\'enyi functional Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 02ec34c1-59c9-450e-8683-b9a37952b393 · outbound
Cumulant-based quantum relative R\'enyi functional Tomamichel,Quantum Information Processing with Finite Resources, SpringerBriefs in Mathemati- cal Physics (Springer International Publishing, Cham, Switzerland, 2016)
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation accb8b66-8840-4a27-992f-64af2c596ea3 · outbound
Cumulant-based quantum relative R\'enyi functional Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 1677963c-82db-4c9d-97d7-1d2300bd72b0 · outbound
Cumulant-based quantum relative R\'enyi functional Beigi, Journal of Mathematical Physics54, 122202 (2013)
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7d66d470-200b-4198-bb2a-6936fcae677a · outbound
Cumulant-based quantum relative R\'enyi functional Touchette, Physics Reports478, 1 (2009)
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 6089db41-92fb-46ad-b2dd-d67e733ce7cb · outbound
Cumulant-based quantum relative R\'enyi functional Esposito, U
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation cdb103c5-d011-4d96-adde-470ef64b83ee · outbound
Cumulant-based quantum relative R\'enyi functional Wehrl, Reviews of Modern Physics50, 221 (1978)
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f714934d-34be-4184-8ae6-0044d2b2f5b5 · outbound
Cumulant-based quantum relative R\'enyi functional Bhatia,Matrix Analysis, Graduate Texts in Mathe- matics, Vol
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 9c6ebec7-37a0-46cc-9caa-e032534bc72a · outbound
Cumulant-based quantum relative R\'enyi functional Unresolved cited work
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e73e91d1-09be-427c-87e3-d1cee0bad1be · outbound
Cumulant-based quantum relative R\'enyi functional Petz, inFunctional Analysis and Operator Theory, Banach Center Publications, Vol
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 5fd1c7ad-6e9e-4ddb-ab8b-823dbe2d0e0c · outbound
Cumulant-based quantum relative R\'enyi functional So, SIAM Journal on Matrix Analysis and Applica- tions13, 1154 (1992)
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 0e495c2f-38a1-402a-99cf-27eabed11d86 · outbound
Cumulant-based quantum relative R\'enyi functional Guo and J
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3fa99213-c708-44ca-80f7-375de84e4af9 · outbound
Cumulant-based quantum relative R\'enyi functional Streltsov, H
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation ab23be5e-cf38-4250-b4e2-5a59190efb77 · inbound
Unifying quantum measurement constructions via a relative-entropy minimum change principle Cumulant-based quantum relative R\'enyi functional
Reference 77
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.