Paper Citation Record · LEDGER

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$

As of 17 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2607.15210.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.15210 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T00:06:24.932486Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:41:44.095661Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-15T14:41:44.143754Z

Reference resolution

30 of 30 outbound references displayed

verified exact16
verified fuzzy0
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b084297e-f5ae-443f-b42b-91cebbf9d68a · outbound

This paper cites On some additivity problems in quantum information theory.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ On some additivity problems in quantum information theory

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T00:06:21.981797Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e037182-d296-4405-b225-5f85aa6f071d · outbound

This paper cites Arizmendi, I.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ Arizmendi, I

Reference 2

Resolution: verified exact; doi, observed 2026-08-02T00:09:25.596529Z

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 1613859f-1ad9-452e-bba3-3629567fb92a · outbound

This paper cites Aubrun and S.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ Aubrun and S

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T00:06:22.084104Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c31d9df-7ba7-4d8d-ae5d-4a2511ef90d5 · outbound

This paper cites Aubrun, S.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ Aubrun, S

Reference 4

Resolution: verified exact; doi, observed 2026-08-02T00:09:25.319879Z

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 d69e6bba-1cab-4744-a6fb-929bc86553b0 · outbound

This paper cites Aubrun, S.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ Aubrun, S

Reference 5

Resolution: verified exact; doi, observed 2026-08-02T00:09:25.038160Z

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 2ea50aaf-b1a7-4367-a351-c107c9057787 · outbound

This paper cites an unresolved cited work.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ Unresolved cited work

Reference 6

Resolution: verified exact; doi, observed 2026-08-02T00:09:24.718090Z

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 0c78f834-2ad0-4381-8b8c-fc9d64437c13 · outbound

This paper cites an unresolved cited work.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ Unresolved cited work

Reference 7

Resolution: verified exact; doi, observed 2026-08-02T00:09:24.517815Z

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 ccdc112c-8184-420d-bb92-34effc9496b3 · outbound

This paper cites an unresolved cited work.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ Unresolved cited work

Reference 8

Resolution: verified exact; doi, observed 2026-08-02T00:09:24.311644Z

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 af951eab-fbc7-4b3f-99fd-ec158f5b3c3f · outbound

This paper cites Collins, M.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ Collins, M

Reference 9

Resolution: verified exact; doi, observed 2026-08-02T00:09:24.015253Z

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 e7473e65-cd72-4d49-a5a2-259ee932a66b · outbound

This paper cites Cubitt, A.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ Cubitt, A

Reference 10

Resolution: verified exact; doi, observed 2026-08-02T00:09:23.693586Z

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 cdacff24-7ffd-4eb8-a889-583d4f159b41 · outbound

This paper cites Collins and C.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ Collins and C

Reference 11

Resolution: verified exact; doi, observed 2026-08-02T00:09:23.368170Z

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 7b200899-9e1f-4327-bd1d-34a078947f94 · outbound

This paper cites Collins and I.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ Collins and I

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T00:06:22.765083Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e10ab50c-edb0-4373-85fc-b27c72ddaea8 · outbound

This paper cites Collins and I.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ Collins and I

Reference 13

Resolution: verified exact; doi, observed 2026-08-02T00:09:23.090502Z

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 e66e8f0b-9c40-4381-ae22-e3332821c373 · outbound

This paper cites Collins and I.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ Collins and I

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T00:06:23.040886Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a8e685c-0f75-4197-a3ac-6e007c00cbab · outbound

This paper cites Derksen and B.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ Derksen and B

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T00:06:23.154906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d036cc65-ff68-4622-89b1-4c460caea1c0 · outbound

This paper cites Fukuda, C.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ Fukuda, C

Reference 16

Resolution: verified exact; doi, observed 2026-08-02T00:09:22.847864Z

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 78e8890b-29d7-4bfc-9de2-64b535b0a8c8 · outbound

This paper cites Grudka, M.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ Grudka, M

Reference 17

Resolution: verified exact; doi, observed 2026-08-02T00:09:22.634653Z

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 9afa74dc-0e77-40f2-8ebb-69fa05b462ac · outbound

This paper cites an unresolved cited work.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T00:06:23.583747Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 425c4194-a471-416f-99ca-0fa90130aac6 · outbound

This paper cites an unresolved cited work.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T00:06:23.692641Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7dd3dda6-8ec9-49b5-b67a-edbf57b53618 · outbound

This paper cites Hayden and A.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ Hayden and A

Reference 20

Resolution: verified exact; doi, observed 2026-08-02T00:09:22.368561Z

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 012b1f4c-a2de-4b9f-9c88-0309181d4b12 · outbound

This paper cites Kukulski, I.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ Kukulski, I

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T00:06:24.020802Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc42fd7b-d85e-4501-97ca-782b68d11b8c · outbound

This paper cites How to generate random matrices from the classical compact groups.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ How to generate random matrices from the classical compact groups

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T00:06:24.118868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0fd7c114-ee48-45f9-95db-545b9ec61334 · outbound

This paper cites an unresolved cited work.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T00:06:24.146508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b1eec9b2-25ff-4274-8ebf-c68dc9d1e432 · outbound

This paper cites an unresolved cited work.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ Unresolved cited work

Reference 24

Resolution: verified exact; doi, observed 2026-08-02T00:09:22.071691Z

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 46f7496d-a3ad-417a-8347-da9f67afb267 · outbound

This paper cites an unresolved cited work.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ Unresolved cited work

Reference 25

Resolution: verified exact; doi, observed 2026-08-02T00:09:21.872134Z

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 fa5be868-bbe4-4276-827b-f9edc36a3de0 · outbound

This paper cites Szczygielski and M.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ Szczygielski and M

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T00:06:24.472788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6153ea7-89e8-476c-b348-bab582d0842a · outbound

This paper cites Schumacher and M.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ Schumacher and M

Reference 27

Resolution: verified exact; doi, observed 2026-08-02T00:09:21.559695Z

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 7d791a43-66d3-4938-a732-c76a11d6bf4b · outbound

This paper cites an unresolved cited work.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T00:06:24.701057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 191fa415-4d4a-4aba-af2b-8da9eba9c589 · outbound

This paper cites Non-Additivity of Minimum Output p-$\mathbf{R\acute{e}nyi}$ Entropy.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ Non-Additivity of Minimum Output p-$\mathbf{R\acute{e}nyi}$ Entropy

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-02T00:06:24.819743Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7561964f-5557-4c8a-8557-077829722704 · outbound

This paper cites \.Z yczkowski and H.-J.

Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ \.Z yczkowski and H.-J

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-02T00:06:24.932486Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation fed837ee-c516-4b85-8d00-c952d63dcb6d · inbound

Counter-examples for Tensorization Property of Strong Data Processing Inequality for Quantum Divergences cites this paper.

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.