Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:34:05.285172Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 73 of 73 outbound references and 0 inbound Pith citation observations for arXiv:1908.05053.
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 2026-08-14T13:34:05.285172Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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
73 of 73 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation ae1739c8-f1b3-4f7c-87d9-d2c656cf9f23 · outbound
Strong unitary uncertainty relations In Sec.II B, the bounds are strengthened by symme- try of permutations
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f572ff42-e570-4951-a3af-3b77e326a1e5 · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation dc003e45-6a63-404b-b5ce-f405484ededf · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 247b76d4-611c-42e1-bbd1-03a11d63bf9a · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f49593e5-7001-4b6e-9069-17c7ae1fbfe9 · outbound
Strong unitary uncertainty relations (37) By stacking columns of the matrix √ρ on top of one an- other, we have the pure state |√ρ⟩ on the 9-dimensional Hilbert space
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 31dd9993-0070-464d-89a6-0348bd89e5eb · outbound
Strong unitary uncertainty relations Heisenberg, Z
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f4c025d2-1257-42d9-964c-fef749748536 · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dda157d2-8f0b-4f46-955b-9bdde722bbdb · outbound
Strong unitary uncertainty relations Weyl, Gruppentheorie und Quantenmechanik (Hirzel, Leipzig, 1928) [English translation, H
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1da17464-b198-45f2-88c8-274853ab1e70 · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a2823507-f166-424b-b41e-428d3b682338 · outbound
Strong unitary uncertainty relations Schr¨ odinger, Ber
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2894624f-ce0c-4dfb-bda4-a517e5934b22 · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 663ac62e-84ef-45f1-a59c-1ecafd02738e · outbound
Strong unitary uncertainty relations Aharonov, H
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d8218a89-56d1-4c0e-9602-9ae360f95951 · outbound
Strong unitary uncertainty relations Opatrn´ y, V
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3750df4f-2a9b-4613-8349-4caf9f2c9fbb · outbound
Strong unitary uncertainty relations Opatrn´ y, D.-G
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1f44df2b-5a35-47a1-98f3-9ee7da516709 · outbound
Strong unitary uncertainty relations Massar and P
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 7303cbd1-ec27-4755-bab8-f8f8f0e05f02 · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 04b9a912-affd-4cfb-9b68-15703296a393 · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 95e51e5e-4b9c-4b7d-a252-001d95db32a4 · outbound
Strong unitary uncertainty relations Namiki and Y
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 06102b06-6a54-47c7-b26f-12e5239f0415 · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d6299e69-0599-42a3-9ade-6fbae7c5b5a6 · outbound
Strong unitary uncertainty relations Maccone and A
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c4f5f426-30f9-4c8f-8c09-e7a0283b154e · outbound
Strong unitary uncertainty relations Li and C.-F
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 22aa6b49-5992-492d-b74c-9ac1f4cc3ef2 · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a9d4bd97-5c0a-4ab1-bbbb-b1baac06099c · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8dcff902-ac47-4051-b3fc-afc82617187c · outbound
Strong unitary uncertainty relations Bagchi and A
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation df38254c-9935-4fda-b705-705e916d2f50 · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation fadfd483-908f-439e-bc0b-8824e85b7455 · outbound
Strong unitary uncertainty relations Near-Optimal Variance-Based Uncertainty Relations
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8b4bb95a-0bbd-42ae-a268-3f7272509539 · outbound
Strong unitary uncertainty relations Mondal, S
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a7a52c37-14da-419c-a999-150a143f24e6 · outbound
Strong unitary uncertainty relations Incompatibility of Observables as State-Independent Bound of Uncertainty Relations
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 527ec488-c28a-49d8-95ae-f778e1630113 · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 62e52b5e-e53a-4ce0-a435-5ac9982691c4 · outbound
Strong unitary uncertainty relations Qian, J.-L
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3ab850e0-f2a2-455f-b056-06538cdd2bf3 · outbound
Strong unitary uncertainty relations Sazim, S
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3d920458-b1fa-423a-b4a4-a1a0eb06d315 · outbound
Strong unitary uncertainty relations Sharma, C
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation db84fd5d-55bb-478d-b053-a5acc4c8fbb5 · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8be2474e-f220-4fd0-a2b1-669bdcd9eaf4 · outbound
Strong unitary uncertainty relations Bia lynicki-Birula and J
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 18cff143-87bc-4c8b-966e-5d4878ff9c7a · outbound
Strong unitary uncertainty relations Deutsch, Phys
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ea05d8ac-2958-4ba4-91cf-728f7987d4fc · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation baa057f5-effc-466f-8675-ac131b880b45 · outbound
Strong unitary uncertainty relations Kraus, Phys
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d2ef3eaa-ce9b-49cd-8be6-ad425dbabac1 · outbound
Strong unitary uncertainty relations Maassen and J
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f8d42b41-2634-4b3f-8d5d-d33b2d11b85b · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 84e0d6a1-9d71-4faa-88ef-e00d9e7bb92f · outbound
Strong unitary uncertainty relations S´ anchez, Phys
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 73928ab5-f42a-4f8e-be85-2b7e0cc875dd · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 07a9c6c2-ff81-4b00-a833-76fed1b50291 · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 005d0542-8012-456b-8d5d-c7eedf79505f · outbound
Strong unitary uncertainty relations Huang, Phys
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a633d7e9-fbdd-4756-b3b7-8974db4c5ab0 · outbound
Strong unitary uncertainty relations Tomamichel and R
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 430d3e35-85d7-460e-8873-355355566c84 · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a4e80942-3007-411e-987b-5ad85b9d80dc · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 95b05c4c-e196-4042-8018-1af710ec117b · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6fa799e3-8504-4982-8c3a-9bd4210578ee · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2f5cf483-2c6a-45b3-8817-ce43e6ff8862 · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 0233db00-530f-4640-abf7-1083cbd78866 · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fc19aa77-11b3-41ee-9201-d0d38c49a09f · outbound
Strong unitary uncertainty relations Friedland, V
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f200269c-902f-4149-b40d-d634284877b6 · outbound
Strong unitary uncertainty relations Pucha la, L
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3fd4662e-52bd-429c-ab4d-d94995059cb1 · outbound
Strong unitary uncertainty relations Rudnicki, Z
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation be5deeb8-36df-4840-8076-b9f6cf771702 · outbound
Strong unitary uncertainty relations Narasimhachar, A
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c1662dba-69bd-4af7-a3f9-380d51d8bbaf · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c0086340-a75d-447f-89cb-ebfb448abdc8 · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 19fdc905-ca07-47d1-8cc8-0ad0ff08520e · outbound
Strong unitary uncertainty relations G¨ uhne, Phys
Reference 57
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ee771476-b173-4c28-813b-c747d15d9ad3 · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 50aefa90-7e78-4a2d-9235-4e551ee0cd23 · outbound
Strong unitary uncertainty relations Eberly, J
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3c865926-6bc5-46a8-bd4c-bab5adc57f65 · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation dbc92f9d-28b6-48f3-95c7-694911088a88 · outbound
Strong unitary uncertainty relations Kitagawa and M
Reference 61
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a467d0a6-f983-4f3a-a953-b3aeb0822660 · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d795410d-e4d6-426d-b175-f93b0565c0c5 · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 63
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6a57a404-c8f2-4230-b8f6-6adfec4befc4 · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 42513ce6-9f17-4cc7-8508-1f6b446c1e37 · outbound
Strong unitary uncertainty relations Giovannetti, S
Reference 65
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2e502a4f-a629-43d5-b784-26fc6a189e93 · outbound
Strong unitary uncertainty relations Giovannetti, S
Reference 66
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f4675613-9858-46f3-8e64-33e37b2009cb · outbound
Strong unitary uncertainty relations Giovannetti, S
Reference 67
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1f20914e-0cfd-44bb-82b3-3dbc42ff2598 · outbound
Strong unitary uncertainty relations Oppenheim, and S
Reference 68
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c8d03b04-59f7-4c7b-a0b1-1d403c38c8e1 · outbound
Strong unitary uncertainty relations Quasi-Fine-Grained Uncertainty Relations
Reference 69
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1505f7ed-b363-4481-b56a-4dce4bc124ac · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 70
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation de770187-423c-4bc8-b3ee-9cbc357123a1 · outbound
Strong unitary uncertainty relations Dhrymes, Mathematics for econometrics , Springer (1978)
Reference 71
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation de22ff79-1988-496a-86cb-34040b6adabf · outbound
Strong unitary uncertainty relations Watrous, Theory of quantum information , Cambridge Univ
Reference 72
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 5aa30a42-a064-4274-971a-710a8fb175fc · outbound
Strong unitary uncertainty relations Unresolved cited work
Reference 73
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
No inbound Pith citation observations are available.