Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-03T04:38:47.447931Z
Paper Citation Record · LEDGER
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy
As of 21 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2607.01805.
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 2026-08-21T06:32:19.484+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
28 of 28 outbound references displayed
- verified exact4
- verified fuzzy23
- unresolved1
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 1a7c81d4-57a9-4269-90e6-03ec96cccab7 · outbound
This paper cites R´ enyi divergence and Kullback-Leibler divergence.IEEE Transactions on Information Theory, 60(7):3797–3820, 2014.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy R´ enyi divergence and Kullback-Leibler divergence.IEEE Transactions on Information Theory, 60(7):3797–3820, 2014
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T14:21:14.747463Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ac495248-cf2d-4d06-b1a7-515ddf43efb3 · outbound
This paper cites Quantum Coherence quantifiers based on R´ enyi α-relative entropy.Communications in Theoretical Physics, 67(6):631, 2017.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy Quantum Coherence quantifiers based on R´ enyi α-relative entropy.Communications in Theoretical Physics, 67(6):631, 2017
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T14:21:14.759494Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f040d9c6-4e35-483d-94fb-9c8e8b25d8d1 · outbound
This paper cites an unresolved cited work.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T14:21:14.739550Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f2d8b19b-c43b-4eed-8541-01da7af2c067 · outbound
This paper cites Springer, 2002.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy Springer, 2002
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T14:21:14.820179Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation efd2e60f-4da8-4f40-97a4-ca2505b34875 · outbound
This paper cites John Wiley & Sons.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy John Wiley & Sons
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T14:21:14.810688Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 39a52005-3b9c-43ad-8186-1866a41b22aa · outbound
This paper cites Deformed logarithms and entropies.Physica A: Statistical Mechanics and its Applications, 340(1-3):41–49, 2004.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy Deformed logarithms and entropies.Physica A: Statistical Mechanics and its Applications, 340(1-3):41–49, 2004
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T14:21:14.817130Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b8d2fafa-a9de-40e8-ad3b-f66a7835b8a6 · outbound
This paper cites Relative entropies and their use in quantum information theory.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy Relative entropies and their use in quantum information theory
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-07-03T04:47:37.636572Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 4a44332c-034a-419b-986e-254e631d8660 · outbound
This paper cites Beyond Boltzmann–Gibbs–Shannon in physics and elsewhere.Entropy, 21(7):696, 2019.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy Beyond Boltzmann–Gibbs–Shannon in physics and elsewhere.Entropy, 21(7):696, 2019
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T14:21:14.849625Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ed99f35d-843e-4ad6-93da-b7e87012b040 · outbound
This paper cites Nonadditive entropy and nonextensive statistical mechanics-an overview after 20 years.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy Nonadditive entropy and nonextensive statistical mechanics-an overview after 20 years
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T14:21:14.800230Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 4f8b27c0-c86c-41d8-8207-c9007cc8bb33 · outbound
This paper cites A review of entropy measures for uncertainty quantification of stochastic processes.Advances in Mechanical Engineering, 11(6):1687814019857350, 2019.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy A review of entropy measures for uncertainty quantification of stochastic processes.Advances in Mechanical Engineering, 11(6):1687814019857350, 2019
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T14:21:14.803834Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9ab6dd84-2556-4e46-86aa-39a9d0762799 · outbound
This paper cites A two-parameter entropy and its fundamental properties.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy A two-parameter entropy and its fundamental properties
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T14:21:14.807301Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 114b770c-3bd3-4363-a9a8-bae5dabb286e · outbound
This paper cites Fundamental properties of Tsallis relative entropy.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy Fundamental properties of Tsallis relative entropy
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T14:21:14.754511Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 3b3c563f-e12f-4b3b-94ad-3617438501e2 · outbound
This paper cites Matrix trace inequalities related to the Tsallis relative entropies of real order.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy Matrix trace inequalities related to the Tsallis relative entropies of real order
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T14:21:14.736277Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation be06de56-d06b-4f8f-907c-abcf0994bc69 · outbound
This paper cites Matrix trace inequalities on the Tsallis entropies.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy Matrix trace inequalities on the Tsallis entropies
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-07-03T04:47:37.630116Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 3f4520de-691e-4bdb-b1dd-6b205f378c04 · outbound
This paper cites Matrix trace inequalities on Tsallis relative entropy of negative order.Journal of Mathematical Analysis and Applications, 472(2):1499–1508, 2019.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy Matrix trace inequalities on Tsallis relative entropy of negative order.Journal of Mathematical Analysis and Applications, 472(2):1499–1508, 2019
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T14:21:14.764701Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 47200b1e-4c5d-4ee0-9359-254aa4537323 · outbound
This paper cites H¨ older’s inequal- ity: some recent and unexpected applications.Bulletin of the Belgian Mathematical Society-Simon Stevin, 24(2):199–225, 2017.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy H¨ older’s inequal- ity: some recent and unexpected applications.Bulletin of the Belgian Mathematical Society-Simon Stevin, 24(2):199–225, 2017
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T14:21:14.729102Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation df7fbdc3-e4c9-497a-8f27-5fd18bcb4ebe · outbound
This paper cites Cambridge university press, 1994.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy Cambridge university press, 1994
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T14:21:14.813790Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 28305578-af0b-4e15-8f14-a283bff0b65d · outbound
This paper cites Springer Science & Business Media, 2013.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy Springer Science & Business Media, 2013
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T14:21:14.845348Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2abd25b1-44fc-423a-92bd-95a03b9f89d6 · outbound
This paper cites Concavity of certain matrix trace and norm functions.Linear algebra and its applications, 439(5):1568–1589, 2013.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy Concavity of certain matrix trace and norm functions.Linear algebra and its applications, 439(5):1568–1589, 2013
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T14:21:14.782590Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 4a622f51-2af1-45ec-9fb8-6409e9e5d887 · outbound
This paper cites Concavity of certain maps on positive definite matrices and applications to Hadamard products.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy Concavity of certain maps on positive definite matrices and applications to Hadamard products
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T14:21:14.789681Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f81f87f4-c2ad-4ff7-8cee-39dd7dcf78ed · outbound
This paper cites Monotonicity of a relative R´ enyi entropy.Journal of Mathematical Physics, 54(12), 2013.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy Monotonicity of a relative R´ enyi entropy.Journal of Mathematical Physics, 54(12), 2013
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T14:21:14.786096Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 363bacf4-2ec1-4751-a337-4442e0d10d0c · outbound
This paper cites Sandwiched R´ enyi divergence satisfies data processing inequality.Journal of Mathematical Physics, 54(12), 2013.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy Sandwiched R´ enyi divergence satisfies data processing inequality.Journal of Mathematical Physics, 54(12), 2013
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T14:21:14.793271Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation dc897175-a2f1-4175-a2c0-0ba8cc8e04b6 · outbound
This paper cites Some operator and trace function convexity theorems.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy Some operator and trace function convexity theorems
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T14:21:14.769636Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation cc8e7b80-96f8-47ec-bc53-fbdd77e53140 · outbound
This paper cites Completely positive linear maps on complex matrices.Linear algebra and its applications, 10(3):285–290.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy Completely positive linear maps on complex matrices.Linear algebra and its applications, 10(3):285–290
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T14:21:14.773664Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9c6ca973-6cbe-4f59-8725-6e279e5d8a34 · outbound
This paper cites An analysis of completely-positive trace-preserving maps on M2.Linear algebra and its applications, 347(1-3):159–187, 2002.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy An analysis of completely-positive trace-preserving maps on M2.Linear algebra and its applications, 347(1-3):159–187, 2002
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T14:21:14.778889Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f22e1467-329d-4217-bf4a-6e6810e2db17 · outbound
This paper cites Absence of barren plateaus and scaling of gradients in the energy optimization of isometric tensor network states.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy Absence of barren plateaus and scaling of gradients in the energy optimization of isometric tensor network states
Reference 26
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T04:47:37.633257Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 58e1ee92-f5fa-4fcc-9a28-7a68e79d5a5a · outbound
This paper cites Cambridge university press.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy Cambridge university press
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T14:21:14.796715Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 05c6a0cc-e02a-40c0-a2c5-057ccaf91c39 · outbound
This paper cites On the Araki-Lieb-Thirring inequality.
$r$-deformed $\alpha$-$z$-R\'enyi relative entropy On the Araki-Lieb-Thirring inequality
Reference 28
- Resolution
- verified exact
- local_arxiv, observed 2026-07-03T04:47:37.628064Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Pith citing papers
No inbound Pith citation observations are available.