Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-09T15:03:26.066132Z
Paper Citation Record · LEDGER
Additivity and chain rules for quantum entropies via multi-index Schatten norms
As of 14 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 3 inbound Pith citation observations for arXiv:2502.01611.
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 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T18:32:13.827761Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-09T22:39:14.398660Z
Reference resolution
30 of 30 outbound references displayed
- verified exact1
- verified fuzzy18
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ad4abeec-2f40-42d3-a0d4-a415d77b2d72 · outbound
This paper cites an unresolved cited work.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:03:27.070072Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 09a89efe-4b9b-48f5-8c22-18942613ac7a · outbound
This paper cites Arnon-Friedman, F.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Arnon-Friedman, F
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:03:27.055808Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 58c9f578-08bb-40b8-b77b-c79c4235ff50 · outbound
This paper cites Arqand and E.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Arqand and E
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:03:27.039849Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d764d7b0-6780-4512-8613-f2c9c3f03266 · outbound
This paper cites Bardet and C.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Bardet and C
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:03:27.020130Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation fd55d4f6-d5e7-4a06-843e-ba35ee46b66b · outbound
This paper cites Beigi and M.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Beigi and M
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:03:27.003322Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 531f5041-a116-4b05-b1a2-198c4331e4e9 · outbound
This paper cites Beigi and C.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Beigi and C
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:03:26.940168Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 78a64a42-00bc-4747-b8d0-06d41f662473 · outbound
This paper cites Cheng, F.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Cheng, F
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:03:26.781408Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 349c8420-49aa-40e1-887a-853649137fda · outbound
This paper cites Dembo, T.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Dembo, T
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:03:26.766326Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8c28d1de-b798-45a5-b69c-4db063ec026e · outbound
This paper cites Devetak, M.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Devetak, M
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:03:26.748884Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 57bf04ec-0d92-449d-a46e-c26f4068b45f · outbound
This paper cites Dupuis, O.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Dupuis, O
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:03:26.730407Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a47eb690-b9f0-4c23-b0d7-399f79ce656a · outbound
This paper cites an unresolved cited work.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:03:26.713428Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f11c78d0-3506-423f-af45-dcd950cdb23b · outbound
This paper cites an unresolved cited work.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:03:26.698224Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 80a42b8e-6f05-41e3-ab41-93d41431ca45 · outbound
This paper cites Hiai and D.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Hiai and D
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:03:26.683253Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5d3abcf0-d133-4f45-8ead-a4d876344fd4 · outbound
This paper cites Liao, W.-Q.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Liao, W.-Q
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:03:26.668389Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ad3414a6-913a-441a-a2db-e3694452e7f5 · outbound
This paper cites an unresolved cited work.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:03:26.653634Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 360a8294-060b-4b04-bb99-5841122ab838 · outbound
This paper cites Metger, O.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Metger, O
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:03:26.640651Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a172740c-d793-4f43-ad6b-194f294684c2 · outbound
This paper cites Metger and R.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Metger and R
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:03:26.626797Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 7c325446-6a2f-453b-b0d6-eb8d9715cbb3 · outbound
This paper cites M¨ uller-Lennert, F.
Additivity and chain rules for quantum entropies via multi-index Schatten norms M¨ uller-Lennert, F
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:03:26.605468Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b15f4d04-8ef4-43a4-972c-ce2dc1a6b659 · outbound
This paper cites Noncommutative vector valued $L_p$-spaces and completely $p$-summing maps.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Noncommutative vector valued $L_p$-spaces and completely $p$-summing maps
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-08-09T15:03:26.126141Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d8526f6d-bc9f-42b0-82a9-db692a360ac9 · outbound
This paper cites an unresolved cited work.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:03:26.498938Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4ae13918-20c8-4dd6-b587-eaa6d3098529 · outbound
This paper cites an unresolved cited work.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:03:26.326790Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c1080de1-998e-4241-b7a9-17d9f2fa92e2 · outbound
This paper cites Portmann and R.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Portmann and R
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:03:26.307195Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1edbcfff-4036-4026-ada7-c26c56215b3f · outbound
This paper cites an unresolved cited work.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:03:26.285586Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 26a4cc71-33e6-4102-9ca5-3ebd40201ebf · outbound
This paper cites Tomamichel.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Tomamichel
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:03:26.269951Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ea7dfae2-544d-4eab-9b39-6bcd7e9af386 · outbound
This paper cites Van Himbeeck and P.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Van Himbeeck and P
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:03:26.251650Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 16fda272-f316-46eb-85f4-a1398a080449 · outbound
This paper cites an unresolved cited work.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:03:26.224029Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e02ff526-6ab5-45c0-a834-3ce1ab12d8a7 · outbound
This paper cites an unresolved cited work.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:03:26.203521Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ec1e804c-ae7f-4b21-b7cd-727cb139c85b · outbound
This paper cites Winick, N.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Winick, N
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T15:03:26.185982Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4d08de54-d500-419d-aff6-226df63aab68 · outbound
This paper cites an unresolved cited work.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:03:26.166432Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 68b180f7-e602-4734-aa91-b8007c4bdbf4 · outbound
This paper cites an unresolved cited work.
Additivity and chain rules for quantum entropies via multi-index Schatten norms Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T15:03:26.148308Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Pith citing papers
Observation aaffffc4-21ef-476e-8d3f-3a0dbc7c5fc6 · inbound
Security proofs for practical QKD: variations, techniques, gaps, and limitations cites this paper.
Security proofs for practical QKD: variations, techniques, gaps, and limitations Additivity and chain rules for quantum entropies via multi-index Schatten norms
Reference 32
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T18:32:13.827761Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 92910e09-ea6d-435f-86ee-ba74e006cef2 · inbound
Analytic R\'enyi Entropy Bounds for Device-Independent Cryptography cites this paper.
Analytic R\'enyi Entropy Bounds for Device-Independent Cryptography Additivity and chain rules for quantum entropies via multi-index Schatten norms
Reference 30
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T18:53:03.100781Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9053ca10-4a22-4631-9a1d-e338be544fcd · inbound
Rigorous Security Proofs for Practical Quantum Key Distribution cites this paper.
Rigorous Security Proofs for Practical Quantum Key Distribution Additivity and chain rules for quantum entropies via multi-index Schatten norms
Reference 90
- Resolution
- verified exact
- arxiv_id, observed 2026-06-11T02:08:31.598224Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.