Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T14:41:44.117880Z
Paper Citation Record · LEDGER
Counter-examples for Tensorization Property of Strong Data Processing Inequality for Quantum Divergences
As of 16 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2608.13204.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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
Reference resolution
16 of 16 outbound references displayed
- verified exact1
- verified fuzzy10
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 4c85caf0-dccd-496b-b522-fc97f5cb9a1a · outbound
This paper cites an unresolved cited work.
Counter-examples for Tensorization Property of Strong Data Processing Inequality for Quantum Divergences Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T14:41:44.326688Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 83c81403-f927-4b5e-be35-bab9648a50c8 · outbound
This paper cites Cao and J.
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T14:41:44.319573Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3321dff6-1183-4496-a47a-e9518a7bc304 · outbound
This paper cites Entropy Contractions in Markov Chains: Half-Step, Full-Step and Continuous-Time.
Counter-examples for Tensorization Property of Strong Data Processing Inequality for Quantum Divergences Entropy Contractions in Markov Chains: Half-Step, Full-Step and Continuous-Time
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T14:41:44.079513Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4a9ed044-3bc0-468f-9f7e-628dcc558d2e · outbound
This paper cites 1, 111–143.
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T14:41:44.312238Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 15f645e2-963c-4347-8721-1f7b0bd71e28 · outbound
This paper cites George and M.
Counter-examples for Tensorization Property of Strong Data Processing Inequality for Quantum Divergences George and M
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T14:41:44.084716Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 72528ae1-a6d1-41c4-bb79-82086627d296 · outbound
This paper cites an unresolved cited work.
Counter-examples for Tensorization Property of Strong Data Processing Inequality for Quantum Divergences Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T14:41:44.303926Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e02523a2-6639-4b76-a24a-a142ded0bca8 · outbound
This paper cites Hiai and M.
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T14:41:44.295941Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 551e4503-a7ea-4ad4-b2ef-4a011c5756b2 · outbound
This paper cites Hirche, C.
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T14:41:44.288121Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fed837ee-c516-4b85-8d00-c952d63dcb6d · outbound
This paper cites Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$.
Counter-examples for Tensorization Property of Strong Data Processing Inequality for Quantum Divergences Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$
Reference 9
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T14:41:44.149235Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 49788751-0049-4b08-bfc6-58b732854ad4 · outbound
This paper cites Müller-Lennert, F.
Counter-examples for Tensorization Property of Strong Data Processing Inequality for Quantum Divergences Müller-Lennert, F
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T14:41:44.280177Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d9631e7e-7752-4c3f-8516-be9fd1df3be9 · outbound
This paper cites Petz,Quantum Information Theory and Quantum Statistics, Theoretical and Mathematical Physics, Springer, Berlin, Heidelberg, 2008.
Counter-examples for Tensorization Property of Strong Data Processing Inequality for Quantum Divergences Petz,Quantum Information Theory and Quantum Statistics, Theoretical and Mathematical Physics, Springer, Berlin, Heidelberg, 2008
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T14:41:44.273485Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9caa8ebb-c385-477b-92c5-2137ee39fe01 · outbound
This paper cites Raginsky,Strong Data Processing Inequalities andΦ-Sobolev Inequalities for Discrete Channels, IEEE Transactions on Information Theory62(2016), no.
Counter-examples for Tensorization Property of Strong Data Processing Inequality for Quantum Divergences Raginsky,Strong Data Processing Inequalities andΦ-Sobolev Inequalities for Discrete Channels, IEEE Transactions on Information Theory62(2016), no
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T14:41:44.265764Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 71af034a-7ee5-4710-9f13-01d73a0be776 · outbound
This paper cites 3, 453–472.
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T14:41:44.257518Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0225ca17-6b8e-4a71-ba69-188bd49e8219 · outbound
This paper cites Temme, M.
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T14:41:44.249739Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3b853bc5-88da-4c61-99fa-3e69b1bdcf44 · outbound
This paper cites Umegaki,Conditional expectation in an operator algebra.
Counter-examples for Tensorization Property of Strong Data Processing Inequality for Quantum Divergences Umegaki,Conditional expectation in an operator algebra
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T14:41:44.241696Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 947ef497-efff-4d58-a4b2-fb8640544479 · outbound
This paper cites an unresolved cited work.
Counter-examples for Tensorization Property of Strong Data Processing Inequality for Quantum Divergences Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T14:41:44.233573Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.