Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-02T00:06:54.654310Z
Paper Citation Record · LEDGER
As of 14 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 0 inbound Pith citation observations for arXiv:2607.15151.
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 2026-08-02T00:06:54.654310Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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
67 of 67 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation a0bd584b-ab07-4930-9675-954c88067276 · outbound
Superadditivity for Entanglement-Assisted Communication Unresolved cited work
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation da71f6cd-3bda-4fec-9237-197e00fea8f6 · outbound
Superadditivity for Entanglement-Assisted Communication Unresolved cited work
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 74d852c0-4d2d-4db1-a384-d43b67f8a10a · outbound
Superadditivity for Entanglement-Assisted Communication Unresolved cited work
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation af589a92-ef63-408c-a1fd-074210b8366b · outbound
Superadditivity for Entanglement-Assisted Communication We defer the detailed proof to Appendix B
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e1e06dfa-fe5d-4f00-9817-514c423032d0 · outbound
Superadditivity for Entanglement-Assisted Communication Holevo, The capacity of the quantum channel with general signal states, IEEE Transactions on Information Theory44, 269 (1998)
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f57a9d19-85fe-4e00-b259-a24114c79dd2 · outbound
Superadditivity for Entanglement-Assisted Communication Schumacher and M
Reference 6
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Observation 7cead57d-1009-4e7d-b953-a421f82440fb · outbound
Superadditivity for Entanglement-Assisted Communication Unresolved cited work
Reference 7
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Unavailable: canonical work link unavailable.
Observation c425e836-b433-41fe-a10e-0cb3d2344398 · outbound
Superadditivity for Entanglement-Assisted Communication Aubrun, S
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 77046aa9-e3df-47b4-b528-d666e78e07c9 · outbound
Superadditivity for Entanglement-Assisted Communication Lloyd, Capacity of the noisy quantum channel, Phys- ical Review A55, 1613 (1997)
Reference 9
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Unavailable: canonical work link unavailable.
Observation 0f9bc8e1-fc22-4a8d-9a72-ce89279c40eb · outbound
Superadditivity for Entanglement-Assisted Communication Unresolved cited work
Reference 10
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Unavailable: canonical work link unavailable.
Observation d9966c49-d891-4775-8954-c7c12cb2efac · outbound
Superadditivity for Entanglement-Assisted Communication Devetak, The private classical capacity and quantum capacity of a quantum channel, IEEE Transactions on Information Theory51, 44 (2005)
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a0c4c41e-bf91-4e94-9d44-b32a716b5b4b · outbound
Superadditivity for Entanglement-Assisted Communication Smith and J
Reference 12
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Observation 28050923-c3f4-4a10-8ac1-9b28d4155e5c · outbound
Superadditivity for Entanglement-Assisted Communication Unresolved cited work
Reference 13
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Unavailable: canonical work link unavailable.
Observation 71b1695e-fe8f-4d12-ba71-1c93e33debf1 · outbound
Superadditivity for Entanglement-Assisted Communication Unresolved cited work
Reference 14
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Unavailable: canonical work link unavailable.
Observation 66e1c51a-7892-4ee8-9f8c-733eb6e4f407 · outbound
Superadditivity for Entanglement-Assisted Communication Unresolved cited work
Reference 15
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Unavailable: canonical work link unavailable.
Observation 532b9b60-2500-4061-9949-0bd667689f22 · outbound
Superadditivity for Entanglement-Assisted Communication Bennett, P
Reference 16
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Unavailable: canonical work link unavailable.
Observation 6b0e7531-d6af-4ee1-9ffa-ee7f9234e6c0 · outbound
Superadditivity for Entanglement-Assisted Communication Unresolved cited work
Reference 17
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Observation cb722352-0d85-42da-aba8-25ee23bfd2ce · outbound
Superadditivity for Entanglement-Assisted Communication Unresolved cited work
Reference 18
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Unavailable: canonical work link unavailable.
Observation fc09919e-92e7-40d5-ab48-4e54a2ead263 · outbound
Superadditivity for Entanglement-Assisted Communication Unresolved cited work
Reference 19
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Unavailable: canonical work link unavailable.
Observation 4c009af8-4ded-4f05-884a-feb5161bc025 · outbound
Superadditivity for Entanglement-Assisted Communication Unresolved cited work
Reference 20
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Unavailable: canonical work link unavailable.
Observation a66835fc-a7d5-474e-ace9-20f8a1fcdee1 · outbound
Superadditivity for Entanglement-Assisted Communication Li and Y
Reference 21
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Unavailable: canonical work link unavailable.
Observation acf46ba0-8db7-494b-bc26-943811bc0546 · outbound
Superadditivity for Entanglement-Assisted Communication Li and Q
Reference 22
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Unavailable: canonical work link unavailable.
Observation 1c3aefd7-1493-4691-86c5-aa1e217d958a · outbound
Superadditivity for Entanglement-Assisted Communication Error Exponents for Quantum Packing Problems via An Operator Layer Cake Theorem
Reference 23
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Unavailable: canonical work link unavailable.
Observation 48710f9a-c69a-487a-b40a-d434dd5ad4cc · outbound
Superadditivity for Entanglement-Assisted Communication Unresolved cited work
Reference 24
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Unavailable: canonical work link unavailable.
Observation 4d192b6c-9f71-44c2-ba60-cc5d42bb94da · outbound
Superadditivity for Entanglement-Assisted Communication Elkouss and S
Reference 25
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Unavailable: canonical work link unavailable.
Observation 961dcb73-a9d0-4453-9c69-a21118920db5 · outbound
Superadditivity for Entanglement-Assisted Communication Unresolved cited work
Reference 26
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Unavailable: canonical work link unavailable.
Observation 7430522b-6adb-4bb3-a658-7cdd9d90c6f4 · outbound
Superadditivity for Entanglement-Assisted Communication M¨ uller-Lennert, F
Reference 27
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Unavailable: canonical work link unavailable.
Observation 0f5b9985-9c28-41c2-9058-8526b520395f · outbound
Superadditivity for Entanglement-Assisted Communication Unresolved cited work
Reference 28
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Unavailable: canonical work link unavailable.
Observation 8a7b1049-2b10-44f4-b963-643ae8528e55 · outbound
Superadditivity for Entanglement-Assisted Communication Unresolved cited work
Reference 29
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Unavailable: canonical work link unavailable.
Observation 52c97f96-0769-4c0b-8777-cc9d5b9688c8 · outbound
Superadditivity for Entanglement-Assisted Communication Simple and Tighter Derivation of Achievability for Classical Communication over Quantum Channels
Reference 30
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Observation d02a1281-f829-42b3-b348-f82b9fc0833a · outbound
Superadditivity for Entanglement-Assisted Communication Shannon, R
Reference 31
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Unavailable: canonical work link unavailable.
Observation ba10f612-51f8-4938-b04e-0eb80978bc2d · outbound
Superadditivity for Entanglement-Assisted Communication Dalai, Lower bounds on the probability of error for classical and classical-quantum channels, IEEE Transac- tions on Information Theory59, 8027 (2013)
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cf7fc009-2c4a-4456-aea7-59621e05b707 · outbound
Superadditivity for Entanglement-Assisted Communication Cheng, M.-H
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e3abd1fe-bb2a-4fc8-87f2-63d47bff028f · outbound
Superadditivity for Entanglement-Assisted Communication Unresolved cited work
Reference 34
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Unavailable: canonical work link unavailable.
Observation a01ae82f-3c5a-40ee-a1e6-e2d4ea420e1b · outbound
Superadditivity for Entanglement-Assisted Communication Hayashi and M
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 34710cfa-25a3-4fcc-b625-111db7d000d0 · outbound
Superadditivity for Entanglement-Assisted Communication Petz, Quasi-entropies for finite quantum systems, Re- ports on Mathematical Physics23, 57 (1986)
Reference 36
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Unavailable: canonical work link unavailable.
Observation 5d551d4a-61af-4848-80c6-d48b09df63c8 · outbound
Superadditivity for Entanglement-Assisted Communication Cooney, M
Reference 37
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Unavailable: canonical work link unavailable.
Observation 57ab4fd4-c3d6-40c2-86ed-da5c40b0b38c · outbound
Superadditivity for Entanglement-Assisted Communication Oufkir, M
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 0e03a39e-7e06-461f-b411-90c4ff8667e9 · outbound
Superadditivity for Entanglement-Assisted Communication Girardi, A
Reference 39
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Unavailable: canonical work link unavailable.
Observation a4733597-7b10-4683-960b-a212428849a3 · outbound
Superadditivity for Entanglement-Assisted Communication Gour and M
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7daa5325-2804-4cab-8546-83162e5e6af9 · outbound
Superadditivity for Entanglement-Assisted Communication Araki, On an inequality of Lieb and Thirring, Letters in Mathematical Physics19, 167 (1990)
Reference 41
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Unavailable: canonical work link unavailable.
Observation 9bb9f7bc-c5f4-4f1b-ad9b-e746211608d9 · outbound
Superadditivity for Entanglement-Assisted Communication Mosonyi and T
Reference 42
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Unavailable: canonical work link unavailable.
Observation 91eff1f0-01f2-4500-983b-5e3eb8269d12 · outbound
Superadditivity for Entanglement-Assisted Communication Unresolved cited work
Reference 43
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Unavailable: canonical work link unavailable.
Observation 3a63746a-91c1-42dc-aa8a-8988e5355133 · outbound
Superadditivity for Entanglement-Assisted Communication Ando, Concavity of certain maps on positive definite matrices and applications to Hadamard products, Linear Algebra and its Applications26, 203 (1979)
Reference 44
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Observation f7294075-1e06-4a12-8e41-e07fee4724e9 · outbound
Superadditivity for Entanglement-Assisted Communication Unresolved cited work
Reference 45
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Observation d28855b0-0653-4451-9694-c4efc2ea25bf · outbound
Superadditivity for Entanglement-Assisted Communication Mosonyi and T
Reference 46
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Unavailable: canonical work link unavailable.
Observation 6db08801-4d0f-4e4d-a700-1807b0df3108 · outbound
Superadditivity for Entanglement-Assisted Communication Mosonyi and F
Reference 47
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Unavailable: canonical work link unavailable.
Observation 66f53447-d0d7-4aff-b277-56cfbd77cf84 · outbound
Superadditivity for Entanglement-Assisted Communication Cheng, L
Reference 48
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Unavailable: canonical work link unavailable.
Observation ea0aea1d-1e2d-4b0e-937a-a2baadaf0c0f · outbound
Superadditivity for Entanglement-Assisted Communication Li and D
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e7ebb322-c27d-4064-8c64-948e0ec5b37d · outbound
Superadditivity for Entanglement-Assisted Communication Liu and H.-C
Reference 50
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Unavailable: canonical work link unavailable.
Observation 4540ec7a-cb20-4528-9d8d-2a086cbc1af6 · outbound
Superadditivity for Entanglement-Assisted Communication Unresolved cited work
Reference 51
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Unavailable: canonical work link unavailable.
Observation e80cbace-86fe-44a2-abc9-53175b10517a · outbound
Superadditivity for Entanglement-Assisted Communication Jenˇ cov´ a, R´ enyi relative entropies and noncommuta- tivel p-spaces, Annales Henri Poincar´ e19, 2513 (2018)
Reference 52
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Unavailable: canonical work link unavailable.
Observation 33730492-06a1-4962-8e87-4ef4b0c3afee · outbound
Superadditivity for Entanglement-Assisted Communication Unresolved cited work
Reference 53
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Unavailable: canonical work link unavailable.
Observation 39e0b039-e3df-47fe-bedf-4e243621b7b4 · outbound
Superadditivity for Entanglement-Assisted Communication Unresolved cited work
Reference 54
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Observation 1c747859-a5da-4d35-9a39-d160ac77f327 · outbound
Superadditivity for Entanglement-Assisted Communication Unresolved cited work
Reference 55
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Unavailable: canonical work link unavailable.
Observation 129f63dc-b24f-4a9f-a689-a756f7b76cad · outbound
Superadditivity for Entanglement-Assisted Communication Another class of channels satisfying (B7) is classical-quantum channelsN X→B, whose input statesρ X are restricted to diagonal matrices
Reference 56
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Unavailable: canonical work link unavailable.
Observation 92d8f71f-2944-464d-856a-e7500d111580 · outbound
Superadditivity for Entanglement-Assisted Communication Fix d≥3, 1 d < λ <1, b= 1−λ d−1 .(C1) Let a0 =λ, a 1 =· · ·=ad−1 =b,(C2) and letω= e 2πi/d
Reference 57
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Observation a690feb3-61a7-48ab-a989-14daf12ceef8 · outbound
Superadditivity for Entanglement-Assisted Communication LetZ= Pd−1 j=0 ωj|j⟩⟨j|be the generalized Pauli phase operator and Z m|j⟩=ω mj|j⟩, m= 0,
Reference 58
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Observation 20ddbcc1-2d89-4aea-a966-b4212567eb0b · outbound
Superadditivity for Entanglement-Assisted Communication ,1−t α d−1 ,(C30) and define the zero-sum vector u= 1,− 1 d−1 ,
Reference 59
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Unavailable: canonical work link unavailable.
Observation 050ecc12-c680-4dc4-99d0-8abfe28369cc · outbound
Superadditivity for Entanglement-Assisted Communication Atκ= 0, all four contributions factor into the one-copy termsr α and zα
Reference 60
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Observation aebe9966-71d3-401d-9ac8-ef00fb74f4a3 · outbound
Superadditivity for Entanglement-Assisted Communication RemarkC.4.In this paper, we only focus on the rangeα∈(0,1) forI α(N)
Reference 61
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Observation 05bf3e09-6f75-4826-a123-4abbb9fa0bad · outbound
Superadditivity for Entanglement-Assisted Communication In computations one may chooseκby the one-dimensional minimization ofκ7→Q α(ρκ;M ⊗2)
Reference 62
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Observation 87a6dee5-5693-4de1-8d90-5d945d76bf6f · outbound
Superadditivity for Entanglement-Assisted Communication However, note that (C57) is not a universal witness; one has to consider at least the second-order derivative bound
Reference 63
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Unavailable: canonical work link unavailable.
Observation e40afaf3-8135-4bd7-b797-13ea392bbffd · outbound
Superadditivity for Entanglement-Assisted Communication By Proposition B.1, the mapρ7→Q α(ρ;N) is convex for 0< α <1
Reference 64
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Unavailable: canonical work link unavailable.
Observation a6740661-ed90-406b-8e6d-12421a23479a · outbound
Superadditivity for Entanglement-Assisted Communication Unresolved cited work
Reference 65
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Observation cd175e40-ed89-41c8-bfb0-463c7062eb3b · outbound
Superadditivity for Entanglement-Assisted Communication Hence p ρα(κ) (ΓN)⊗2 p ρα(κ) = 1X r,s=0 |ψrs(κ)⟩ ⟨ψrs(κ)|(D43) is an orthogonal sum of rank-one operators
Reference 66
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Unavailable: canonical work link unavailable.
Observation 22496d5d-7e0b-4241-9e36-d8a961f8d6d6 · outbound
Superadditivity for Entanglement-Assisted Communication Let r0 :=t, r 1 :=u, d 0 := 1, d 1 :=−1.(D63) Thus d dt rx =d x, p xy(κ) =r xry +κd xdy.(D64) For a single channel use, lets= 0 denote the no-jump branch ands= 1 the jump branch
Reference 67
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Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.