Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-07T11:18:14.440462Z
Paper Citation Record · LEDGER
As of 6 August 2026, this Paper Citation Record lists 79 of 79 outbound references and 1 inbound Pith citation observation for arXiv:2604.26874.
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 2026-05-07T11:18:14.440462Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-31T00:33:51.132399Z
A source-named dated measurement, never combined with another source.
Source: cited_works
79 of 79 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation d6f7cf61-1ee1-4076-ad62-09eb4a33b09f · outbound
Convex combinations of bosonic pure-loss channels erasure flag
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 5cacc28e-c80b-463f-824a-7d95bc54e54d · outbound
Convex combinations of bosonic pure-loss channels Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ce6c9d30-e93e-4c18-9de1-807a1602a3ae · outbound
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 97c4c0b8-5b6f-4fee-be86-f694cd06ec5c · outbound
Convex combinations of bosonic pure-loss channels Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 5925b402-4211-4a15-ab6f-d20a53c3e022 · outbound
Convex combinations of bosonic pure-loss channels Unresolved cited work
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ac52426c-60b9-47b9-816b-03a932845321 · outbound
Convex combinations of bosonic pure-loss channels CRC Press, Boca Ra- ton, FL
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation dbe03225-991b-426b-9a92-c56b0341e483 · outbound
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 8d703516-849b-4fc7-94c7-9a4577b25ad9 · outbound
Convex combinations of bosonic pure-loss channels Unresolved cited work
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 2f4d462a-c902-4854-ae01-3653adc3a34b · outbound
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation d3632e8a-cf29-45b7-b905-7a7fe8e879e6 · outbound
Convex combinations of bosonic pure-loss channels Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 7296f774-c714-4c77-8c6a-7973bdb254e3 · outbound
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation a3cdc638-6944-44a0-9c89-87b3fd1ed141 · outbound
Convex combinations of bosonic pure-loss channels Pirandola, U
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 35988857-a7f7-4fd7-9fb0-4e43449e0d04 · outbound
Convex combinations of bosonic pure-loss channels Continuous-variable quantum communication
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 52391142-303b-4e14-bd06-93d3f9bef085 · outbound
Convex combinations of bosonic pure-loss channels Fundamental limits of repeater- less quantum communications.Nature Communications, 8(1), April 2017
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation d4ecc5b2-ed7e-4712-ae70-c5f2ccd21e76 · outbound
Convex combinations of bosonic pure-loss channels Maximum tolerable excess noise in continuous- variable quantum key distribution and improved lower bound on two-way capacities.Nature Photonics, 19:329, 334
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation b4432444-d25a-417b-ae33-c16101a1c794 · outbound
Convex combinations of bosonic pure-loss channels Satellite-based quantum information networks: use cases, architecture, and roadmap.Communications Physics, 6(1):12
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation be719b80-08a8-4b89-83ed-a84c6ffd9744 · outbound
Convex combinations of bosonic pure-loss channels Micius quantum experiments in space.Rev
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 657b5867-db68-4b3d-9ffa-0ff672e70317 · outbound
Convex combinations of bosonic pure-loss channels Krˇ ziˇ c, S
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation a24e4b0e-1dc2-4da5-a7c9-86946fa33f9f · outbound
Convex combinations of bosonic pure-loss channels Sidhu, Siddarth K
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 0b976a54-b23b-44e8-87be-dcd3539e8a4c · outbound
Convex combinations of bosonic pure-loss channels Limits and security of free-space quantum communications.Phys
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation c7bc27e3-d9e8-465f-87cf-9858baef6f7f · outbound
Convex combinations of bosonic pure-loss channels Usenko, Christian Peuntinger, Bettina Heim, Kevin G¨ unthner, Ivan Derkach, Dominique Elser, Christoph Marquardt, Radim Filip, and Gerd Leuchs
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation c0ed8cc5-ac96-4f3b-83c3-d4d7ae0b859a · outbound
Convex combinations of bosonic pure-loss channels Andrews and Ronald L
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 2af96964-7b96-4b2e-8bdc-56d6b3ee655f · outbound
Convex combinations of bosonic pure-loss channels Vasylyev, A
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 02c2d48d-cf00-44ce-af60-7252f8811206 · outbound
Convex combinations of bosonic pure-loss channels Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation b318750d-bdb2-484c-a642-789a38487b8b · outbound
Convex combinations of bosonic pure-loss channels Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 0d728c83-5afc-41a4-8b43-cecc4d9011ae · outbound
Convex combinations of bosonic pure-loss channels Bennett, Peter W
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation d0541fdb-505f-4ff7-9378-96cd2299d27e · outbound
Convex combinations of bosonic pure-loss channels Bennett, Peter W
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation f18f7720-df71-4e0e-94d6-21ce4d50deec · outbound
Convex combinations of bosonic pure-loss channels Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 46d46847-34ee-435c-8d7f-7d34655218a8 · outbound
Convex combinations of bosonic pure-loss channels Wilde.Quantum Information Theory
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation beabcbfa-9ca2-4836-b066-7f97bdc22e44 · outbound
Convex combinations of bosonic pure-loss channels Quantum channels and their entropic characteristics.Reports on Progress in Physics, 75(4):046001, March 2012
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 7721e986-c080-4679-8bb5-647751256df1 · outbound
Convex combinations of bosonic pure-loss channels Cerf, Timothy C
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation a73d8edd-f9f3-4b80-99b4-353e90524e5b · outbound
Convex combinations of bosonic pure-loss channels Wolf, Geza Giedke, and J
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation bd322c74-0331-462e-983a-195ae2d27542 · outbound
Convex combinations of bosonic pure-loss channels Gaussian states minimize the output entropy of one-mode quantum gaussian channels.Phys
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 17893635-6bb0-4a13-b58f-6b752f852484 · outbound
Convex combinations of bosonic pure-loss channels Holevo and Reinhard F
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 2d155ada-88a1-4cff-8b74-8cf51a9db7ab · outbound
Convex combinations of bosonic pure-loss channels Giovannetti, A
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 329533e6-5d5a-4861-8aea-57bf9daf79e1 · outbound
Convex combinations of bosonic pure-loss channels Unresolved cited work
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation b7e9cc05-5561-4fbd-946b-85c77bdade4f · outbound
Convex combinations of bosonic pure-loss channels Pirandola, R
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation f01fcdbf-6593-4725-aaf1-70404d37e021 · outbound
Convex combinations of bosonic pure-loss channels Unresolved cited work
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation f2d66b8d-b55d-4ca5-9d4a-8b78b8affde8 · outbound
Convex combinations of bosonic pure-loss channels Takeoka, S
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 89eb3be5-2354-4609-95db-d4f590012b32 · outbound
Convex combinations of bosonic pure-loss channels Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation d71ab34d-9ba8-4cc5-98c5-88682820eb49 · outbound
Convex combinations of bosonic pure-loss channels Pirandola, R
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 248947e4-7a5e-437c-be1c-30fe21f4f228 · outbound
Convex combinations of bosonic pure-loss channels Giovannetti, S
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 8df00276-62f3-4128-90e6-2851d90d20bc · outbound
Convex combinations of bosonic pure-loss channels Giovannetti, S
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 17941d52-a9e4-4325-8fdc-5e49b380433d · outbound
Convex combinations of bosonic pure-loss channels Caruso and V
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 4b649a46-04c0-4e3c-ac56-394c71bd3a24 · outbound
Convex combinations of bosonic pure-loss channels Giovannetti, R
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation f9a18af1-7551-4904-a43b-4694f3b55d17 · outbound
Convex combinations of bosonic pure-loss channels Achievable rates in non-asymptotic bosonic quantum communication
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ad8f097a-baeb-44e3-b463-4ec2fb79c50b · outbound
Convex combinations of bosonic pure-loss channels Achieving the ultimate end-to-end rates of lossy quantum communication networks
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 2cb360cb-a289-4b68-b477-95944e93284e · outbound
Convex combinations of bosonic pure-loss channels Khatri and M
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 1f48f959-7d75-4463-84c8-290eb68978b6 · outbound
Convex combinations of bosonic pure-loss channels Quantum communication on the bosonic loss-dephasing channel.Phys
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation f8470d2a-c5b4-4fe7-995a-f3a96c09c8a5 · outbound
Convex combinations of bosonic pure-loss channels Cubitt, Mary Beth Ruskai, and Graeme Smith
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation f582eb82-e020-4af1-9b1d-7ff2d1432f1c · outbound
Convex combinations of bosonic pure-loss channels Horodecki, P
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation feaf3db9-db5e-464e-8983-2f1158049b82 · outbound
Convex combinations of bosonic pure-loss channels Separability criterion for density matrices
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ae949462-be35-4dfb-85a5-9b4707a0d4af · outbound
Convex combinations of bosonic pure-loss channels Separability of mixed states: necessary and sufficient conditions.Phys
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 95d9d184-5b79-4c87-b5ab-d07f8d10dc18 · outbound
Convex combinations of bosonic pure-loss channels Bennett, David P
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation a68d6a4c-b69f-40c4-bb4a-391509699030 · outbound
Convex combinations of bosonic pure-loss channels Fac- torizations of quantum channels.Linear Algebra and its Applications, 553:145–168
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 8275e9b7-24a7-46a0-a9c7-edcfb5fd9b54 · outbound
Convex combinations of bosonic pure-loss channels The only non-zero overlap occurs in the vacuum component: F(Φ(ρ 1),Φ(ρ 2)) = 1− ⟨λ⟩.(A3)
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 4209a0ed-e444-4ee4-9be3-078269caf20a · outbound
Convex combinations of bosonic pure-loss channels Unresolved cited work
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 170e66ba-b763-424e-aa12-0d8d5d3eef3e · outbound
Convex combinations of bosonic pure-loss channels Unresolved cited work
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ff6f0ba2-4136-4d5e-aa4d-359823428d9d · outbound
Convex combinations of bosonic pure-loss channels Unresolved cited work
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 8b512488-e363-466e-8ca2-ecb55ccb983b · outbound
Convex combinations of bosonic pure-loss channels For a single use of a pure-loss channelE λ acting on a Fock state|n⟩, the probability of transmitting allnphotons isλ n
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ef08aaa5-da9b-4097-b0f8-e225a8f67cd9 · outbound
Convex combinations of bosonic pure-loss channels We have⟨λ n⟩ ≥ ⟨λ⟩ n
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 2a723792-e13d-411d-a3d3-66ed6fb653e3 · outbound
Convex combinations of bosonic pure-loss channels Substituting the decomposition forρ, we obtain: S(ρ) =H 2(p0) + (1−p 0)S(σ),(C3) whereH 2(x) =−xlog 2 x−(1−x) log 2(1−x) is the binary entropy function
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 0daae42a-22dc-45ec-933d-9b28dfffc807 · outbound
Convex combinations of bosonic pure-loss channels The vacuum component is shifted due to the erasure term, while the excited components are simply scaled byp
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation e0aef4b8-b90a-45b1-8ce3-18c45e3af175 · outbound
Convex combinations of bosonic pure-loss channels Unresolved cited work
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation dc1d6db4-7bf4-478d-9cc0-3367424306e6 · outbound
Convex combinations of bosonic pure-loss channels To maximize the capacity, we must therefore maximize the entropyS(σ) subject to the constraints imposed onσ
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 3ba368c7-979b-44b8-a797-8c633479570e · outbound
Convex combinations of bosonic pure-loss channels Unresolved cited work
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 9d496b22-4e0d-42ce-be97-ff428fd21252 · outbound
Convex combinations of bosonic pure-loss channels Unresolved cited work
Reference 67
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 53ede05a-be75-4638-9eb2-51ecd41ee058 · outbound
Convex combinations of bosonic pure-loss channels We compute the diagonal elements [Eλ(ρ(k) E )]mm for a generic transmissivityλ
Reference 68
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 91d090af-5715-4f0e-9f6b-019ac3f31546 · outbound
Convex combinations of bosonic pure-loss channels Unresolved cited work
Reference 69
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 828e6937-5170-4ef0-863f-4457e2dd5e2c · outbound
Convex combinations of bosonic pure-loss channels We now derive a rigorous upper bound on the error introduced by this truncation, ensuring the reliability of our numerical results
Reference 70
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 18a9fdcd-d2c0-462e-bf69-6e5d5f3029c2 · outbound
Convex combinations of bosonic pure-loss channels Unresolved cited work
Reference 71
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 37925cd6-b8d8-4e57-ab64-1f5dd0a890a1 · outbound
Convex combinations of bosonic pure-loss channels Unresolved cited work
Reference 72
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation a3412448-a0d4-4fa4-bd14-723151cdd8e5 · outbound
Convex combinations of bosonic pure-loss channels Unresolved cited work
Reference 73
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 7bdf8a09-aec8-450a-afbe-e31a6fe12023 · outbound
Convex combinations of bosonic pure-loss channels 26 Appendix E: Optimality of F ock-diagonal inputs Lemma 2.LetΦbe a phase-insensitive quantum channel
Reference 74
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 8f43cdb7-29ee-4989-a0be-ec921f94b409 · outbound
Convex combinations of bosonic pure-loss channels The numerical evaluation of this channel allows us to observe the core mechanism of non-Gaussian advantage
Reference 75
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 4c07ec70-234c-46ca-913e-eda8b83fcf22 · outbound
Convex combinations of bosonic pure-loss channels Unresolved cited work
Reference 76
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation e66911e5-5eaa-4207-9604-b65a0f541fe2 · outbound
Reference 77
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation d145f8c7-c123-4790-a654-757526307abb · outbound
Convex combinations of bosonic pure-loss channels Figure 11 displays the optimized coherent information alongside the absolute gain over the thermal benchmark
Reference 78
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation bfe29c81-71ca-49c7-8a0f-4c19ac59df51 · outbound
Convex combinations of bosonic pure-loss channels In free-space quantum communications affected by beam wandering, the transmissivity statistics are accurately described by the Log-Negative Weibull (LNW) distribution
Reference 79
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation baf22618-0312-418b-8654-d1b3139da80a · inbound
Bosonic quantum communication beyond the thermal threshold Convex combinations of bosonic pure-loss channels
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.