Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T16:16:19.090891Z
Paper Citation Record · LEDGER
As of 19 August 2026, this Paper Citation Record lists 87 of 87 outbound references and 2 inbound Pith citation observations for arXiv:2509.08059.
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 2026-08-15T16:16:19.090891Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-03T14:53:08.192212Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T17:50:00.782959Z
87 of 87 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 0a1e34ce-714b-4908-97e3-60927a6a407f · outbound
Cloning Quantum Channels (88)) as well as the bit-flip channelX p (Eq
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 13ed6523-32af-4ac2-88e8-6b6fddf9640c · outbound
Cloning Quantum Channels By going up toH= 21, we find the approximation FD CJ(1,2)≈0.932 for the optimal cloning fidelity of AD channels
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 083aedd8-6aba-44ac-a2f7-a625576f9cbe · outbound
Cloning Quantum Channels The task of estimating an unknown qubit unitary U2 ={U[·] :=U·U †|U∈SU(2)}(57) has been studied extensively [55, 56]
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aaad1dd6-20eb-4560-9b5d-6986ec086510 · outbound
Cloning Quantum Channels Unresolved cited work
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 86c93a84-48dd-46a5-a168-c3eb15aa453d · outbound
Cloning Quantum Channels (69) that the error mitigation process corrects the bit flips
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1ab324e1-84f5-4013-9f85-c54dc5e70a3c · outbound
Cloning Quantum Channels classical
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 86229e5a-a05d-4653-b3bb-34c21fc07704 · outbound
Cloning Quantum Channels Unresolved cited work
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ee718c53-5eb4-47ab-b4ad-20a94b5a1cfd · outbound
Cloning Quantum Channels (91), see also [61])
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 423fbb32-7562-4660-83d7-02a1a3e0ef3e · outbound
Cloning Quantum Channels ForNcopies of the channel, the sum of the out- comest:=|s|= PN i=1si follows the binomial distribu- tion Pr Bin(t|N,γ)
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c2236a38-3328-40b8-97aa-6bed6f42263f · outbound
Cloning Quantum Channels the CP maps Ks|γ[·] :=K s(γ)·K † s(γ) withs= 0,1,(94) have a different parity and can be detected with the pro- cess{fMs}with fM0 =M 0 andfM1 =X 1◦M1, illustrated in Fig
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation cd270d85-70fa-4e44-80b3-e342553e5992 · outbound
Cloning Quantum Channels classical
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fff9af3f-1068-4b4d-8e14-f12c761a74cb · outbound
Cloning Quantum Channels Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d221aaf8-992a-4a77-9740-0e6e41849241 · outbound
Cloning Quantum Channels Proof.We readily know thatF C CJ≥F C ⋄ , since by construction the CJ fidelity for two channels is greater or equal than the diamond fidelity
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d1443826-b1bf-4fdc-bda4-72eb9285c846 · outbound
Cloning Quantum Channels Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a70a78d9-4a97-4520-916c-723ccdbadb5f · outbound
Cloning Quantum Channels Note that the functiong(ζ;Z) assumes the values−∞and 0 on the boundaries of the domain (ζ= 0,1 respectively), and is smooth on the open interval (0,1)
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b5cd74a2-3d7a-4f99-9715-58d562689260 · outbound
Cloning Quantum Channels Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 06a11544-bc86-424a-9c07-5fea2187b329 · outbound
Cloning Quantum Channels To do so we will lower bound the final fidelity for all values of the parameterp, using two approaches
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 5110b97b-a625-4030-8cb8-ac1657e40d1e · outbound
Cloning Quantum Channels Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 3de5a516-7665-4af9-9ccb-89a35e3536ed · outbound
Cloning Quantum Channels Unresolved cited work
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 02c61250-8710-4136-8940-9dfe8b6dd5c0 · outbound
Cloning Quantum Channels Unresolved cited work
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 77b48648-c6ec-4844-9636-60c978c11ade · outbound
Cloning Quantum Channels Unresolved cited work
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 94168029-edd3-40d1-8952-974d015e9b19 · outbound
Cloning Quantum Channels 7) of the Choi-Jamio lkowski stateCJ[S] representing a processP
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 5fdc639a-d21b-4a19-9fce-684ec1e4fb40 · outbound
Cloning Quantum Channels In other words, the extremal points are a unitary map and the trash-and-replacemap
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 6fb51759-0c27-4748-b496-33d6c36940b9 · outbound
Cloning Quantum Channels D¨ ur, P
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 203e4171-a6d7-449a-9755-c58de96acaf9 · outbound
Cloning Quantum Channels Chiribella, Y
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 3074bcae-1e0f-4ea5-88f4-739728e586b9 · outbound
Cloning Quantum Channels Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 09bca292-5045-4af8-b77c-9bb6513207af · outbound
Cloning Quantum Channels Unresolved cited work
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 61cd3cb7-c67c-4e57-b06a-f15a35addc5c · outbound
Cloning Quantum Channels Dieks, Communication by EPR devices, Physics Letters A92, 271 (1982)
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 511bfe6d-0d8c-48fc-98c6-6e7eaae3ce10 · outbound
Cloning Quantum Channels Herbert, FLASH—a superluminal communicator based upon a new kind of quantum measurement, Found
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 502ddf44-8b27-4c5d-9afb-b1a1673ceb65 · outbound
Cloning Quantum Channels Gisin, Quantum cloning without signaling, Phys
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 7abf8e3a-68f9-4a20-91ab-2919337cb7c9 · outbound
Cloning Quantum Channels Ghosh, G
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 01516663-e701-49b8-8e1f-e05fb0e9ae8e · outbound
Cloning Quantum Channels Gedik and B
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9aac77b2-6cec-4095-9358-cd5781025a43 · outbound
Cloning Quantum Channels Sekatski, M
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0923e87a-1e21-4548-b5cd-c032a55ddcc4 · outbound
Cloning Quantum Channels Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 7cf78ff4-1e44-4902-8bbf-92954a4aaf7f · outbound
Cloning Quantum Channels Duan and G.-C
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b16d5874-3447-4d91-b248-027004b86bed · outbound
Cloning Quantum Channels Buzek and M
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ba299dc1-fd43-47b3-b04b-d74922d1593f · outbound
Cloning Quantum Channels Gisin and S
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ed79773e-6ed9-4060-a2b2-373d63dc0008 · outbound
Cloning Quantum Channels Unresolved cited work
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d09e9eec-e190-436c-b33f-cc820c803a67 · outbound
Cloning Quantum Channels Optimal universal quantum cloning and state estimation
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c12d17aa-616d-4f41-886b-a42d61bbea69 · outbound
Cloning Quantum Channels Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation df68df36-cf9d-4253-bd34-492497c01291 · outbound
Cloning Quantum Channels Chefles and S
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 467818dd-0e7d-4b75-8b5c-a1d1a140b662 · outbound
Cloning Quantum Channels Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 1b0fdb01-8439-477b-8a72-cfda35680aba · outbound
Cloning Quantum Channels Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d80e9e4b-d142-437d-8dc8-0c2cd8d871b4 · outbound
Cloning Quantum Channels Chiribella, Y
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a61a1cbe-e6be-4c1c-ba88-9675fed4154a · outbound
Cloning Quantum Channels Chiribella, G
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation aa99d9bb-8b76-47a3-814c-0d80221ce52f · outbound
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c5be5384-a3cf-4998-8705-b23d4971b980 · outbound
Cloning Quantum Channels Chiribella, G
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 181b4966-fcd6-4a57-bac6-28aad3c51065 · outbound
Cloning Quantum Channels Theoretical framework for quantum networks
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 93d02e2a-bbfb-401b-bc30-90bd449c29c8 · outbound
Cloning Quantum Channels How to quantify a dynamical quantum resource
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation be34220c-abd5-475f-acdc-b458826fa745 · outbound
Cloning Quantum Channels Oreshkov, F
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 134dd5cd-f0f4-4658-9241-62269f86fb40 · outbound
Cloning Quantum Channels Chiribella, G
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 15609883-4650-4cd2-81c3-1f43eaabd965 · outbound
Cloning Quantum Channels Milz and M
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 054b5dd2-9977-47b8-adf9-ebb0d643d646 · outbound
Cloning Quantum Channels Chen and E
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 40b388f0-a6ee-40cb-984a-6f2ec1938348 · outbound
Cloning Quantum Channels Nielsen and I
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b9821cff-4ae5-4847-8ba1-b9952cd5f20f · outbound
Cloning Quantum Channels Barnum, C
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 3d36534a-fc59-4397-9a7c-509440b08f0a · outbound
Cloning Quantum Channels Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0c2cc2b9-ffd2-4dbb-8f58-a2ee4f52e383 · outbound
Cloning Quantum Channels Superbroadcasting and classical information
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 2a0ff207-e291-4c16-b540-cb31ace6630d · outbound
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 26f38bb5-1b42-43b1-89b5-55210f25a6d3 · outbound
Cloning Quantum Channels Luo, On Quantum No-Broadcasting, Lett Math Phys92, 143 (2010)
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 6a4ba967-28fa-415f-853d-49dbe10a1a89 · outbound
Cloning Quantum Channels Fan, Y.-N
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 095fb062-1ad9-4103-ad54-23e80d4e464f · outbound
Cloning Quantum Channels Raginsky, A fidelity measure for quantum channels, Phys
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 68a9b225-bebc-439c-b1c8-22c291075e28 · outbound
Cloning Quantum Channels Schumacher, Sending entanglement through noisy quantum channels, Phys
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 38e10ebd-7781-46df-8a1b-ada73ab7caef · outbound
Cloning Quantum Channels Unresolved cited work
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b7864a7a-da83-4189-8448-211f82f5e39f · outbound
Cloning Quantum Channels Horodecki, P
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation dbd9a38b-dd7a-4834-984f-f3950238296d · outbound
Cloning Quantum Channels Unresolved cited work
Reference 65
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e3cd9eb4-7488-4036-8fc4-01044a3c12d6 · outbound
Cloning Quantum Channels Unresolved cited work
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation eb8aa292-7b74-445f-94f5-e260a2bffae0 · outbound
Cloning Quantum Channels transition probability
Reference 67
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 1cb9c223-59b5-4fb7-bd70-4e2f4c4aaef5 · outbound
Cloning Quantum Channels Fuchs and J
Reference 68
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e1667a29-a6e9-4e08-b4d4-0d64b9288717 · outbound
Cloning Quantum Channels Unresolved cited work
Reference 69
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 5340bf6b-8705-4690-82f6-41d13ac3eb7c · outbound
Cloning Quantum Channels Kurdzia lek, W
Reference 70
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation af3bc6fd-a7ca-4b7d-931e-20e87ee83f34 · outbound
Cloning Quantum Channels Unresolved cited work
Reference 71
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3f609ac0-e7a1-4b70-bfa6-6508109bcd2c · outbound
Cloning Quantum Channels Demkowicz-Dobrza´ nski and L
Reference 72
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e33e530a-1119-438f-971a-3977b40e0ad4 · outbound
Cloning Quantum Channels Zhou and L
Reference 73
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a1449fa7-f9e6-4e3b-88b2-4dd4c3622196 · outbound
Cloning Quantum Channels Uhlmann, The metric of bures and the geometric phase, Quantum groups and related topics , 267 (1992)
Reference 74
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 6b633b16-744a-48fb-bd3f-0a722d4aab88 · outbound
Cloning Quantum Channels Unresolved cited work
Reference 75
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 458c9601-fc08-47b0-90dd-1b0626403593 · outbound
Cloning Quantum Channels Albarelli and R
Reference 76
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 7ac4fff6-586b-4083-a24c-0793d3098b30 · outbound
Cloning Quantum Channels Skrzypczyk and D
Reference 77
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e1d556ce-9326-426b-8b75-df6f8f7beba4 · outbound
Cloning Quantum Channels Hayashi, Parallel treatment of estimation of su (2) and phase estimation, Physics Letters A354, 183 (2006)
Reference 78
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c2f31c08-33ef-4680-a386-96efc40edcdf · outbound
Cloning Quantum Channels Chiribella, G
Reference 79
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c3a2b488-b2ea-4f73-94ed-d13052ed1ec6 · outbound
Cloning Quantum Channels Unresolved cited work
Reference 80
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 4db2079e-9c87-4eb2-b7b4-072c9e09d0fc · outbound
Cloning Quantum Channels Unresolved cited work
Reference 81
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ac5fefd7-3a93-4f7a-a3f6-2431e6f05adb · outbound
Cloning Quantum Channels Unresolved cited work
Reference 82
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f07ac7f5-9c19-4dde-96c2-ca6805202c57 · outbound
Cloning Quantum Channels Bacon, I
Reference 83
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 583deb4b-7007-4766-a385-24ac161c978d · outbound
Cloning Quantum Channels Fujiwara, Estimation of a generalized amplitude-damping channel, Phys
Reference 84
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation abcc9a89-2076-428e-ae64-54ff695fbed8 · outbound
Cloning Quantum Channels Odake, H
Reference 85
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d47f5788-84f5-40e9-ad5e-245826868901 · outbound
Cloning Quantum Channels Gurel-Gurevich, Answer to: ”expectation of square root of binomial r.v.” (2012), mathOverflow, accessed August 19, 2025
Reference 86
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 13aae311-edc3-4af1-a271-ec6952480d81 · outbound
Reference 87
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 02ca7045-7d0e-4772-b372-8cd5289a3d86 · inbound
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 40bc7d49-bd60-468d-88a6-3b977ded5c6b · inbound
Optimal complex conjugation of unknown isometry channels Cloning Quantum Channels
Reference 63
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