Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-03T04:20:40.961129Z
Paper Citation Record · LEDGER
As of 9 August 2026, this Paper Citation Record lists 96 of 96 outbound references and 4 inbound Pith citation observations for arXiv:2602.05821.
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 2026-08-03T04:20:40.961129Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-02T07:52:29.805517Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-05T02:28:24.338817Z
96 of 96 outbound references displayed
External citation measurements
0
pith, observed 2026-08-05T02:28:24.338817Z
Observation dd661ce1-842f-40e3-85fd-964aa05caa4e · outbound
Quantum statistical functions This pure state|Ψ⟩is called a purification ofρ
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b9634d85-8144-47ee-9a43-1a53a71ae585 · outbound
Quantum statistical functions We choose the ancillary spaceH ′ to be the dual space of the original Hilbert space H∗
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e069c04b-ae92-4da4-b524-08bfdc159455 · outbound
Quantum statistical functions Pusz and Woronowicz characterizedA#Bas the solution to a maximization problem within the cone of positive 5 operators
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b1f34704-7e2b-4b7b-b90a-e38e67b1c8ed · outbound
Quantum statistical functions Following Uhlmann [40], an ampli- tudeWof a density operatorρis any operator satisfying ρ=W W †
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fea056f6-88f9-4c93-a02d-d54893154a1b · outbound
Quantum statistical functions Definition 6 (Quantum moment-generating func- tion)
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a7742664-b419-42e2-bbdc-7364e51ecf38 · outbound
Quantum statistical functions Rosetta Stone,
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5e3fb666-61cb-4762-b82b-58a2a4d66d3c · outbound
Quantum statistical functions Unresolved cited work
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 968c4319-7e00-41b9-b7b3-1b6c1576856f · outbound
Quantum statistical functions Unresolved cited work
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d8a5cc82-2825-44e7-8cf0-f7bc72f3e258 · outbound
Quantum statistical functions Beyond low-order moments, our framework elucidates the structure of generaln-point cor- relation functions
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b36fe9a6-57ad-490d-8470-4e1c288c5aef · outbound
Quantum statistical functions Unresolved cited work
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 369b650e-159e-4572-b7b9-a0793e5245df · outbound
Quantum statistical functions •Exponential connection (e-connection):The Wigner limit (N→ ∞) corresponds to the e- connection
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c22e54f0-15e6-4d8b-9674-1b7344a8cc2a · outbound
Quantum statistical functions Unresolved cited work
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0582acd6-1090-44bd-ab5d-d744638d12c1 · outbound
Quantum statistical functions Unresolved cited work
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1544c988-9717-4ed4-9f9c-c91d11dc2118 · outbound
Quantum statistical functions (68) usingW opt to find the final es- timate
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 85ccae40-fe30-46e8-93fc-1fa40860b23b · outbound
Quantum statistical functions Unresolved cited work
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3e5a9ca1-1b32-40ec-8744-c199a29f701e · outbound
Quantum statistical functions In the first-order high-temperature expansion, Ex ρϕ (O3) vanishes, so we consider the second-order termρ ϕ ≈ 2−N (11−βH+β 2H 2/2)
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 650e55b3-5495-49de-9e02-19b51dcffc0b · outbound
Quantum statistical functions Unresolved cited work
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d226a24f-82f9-4625-9d34-baf69de3ffae · outbound
Quantum statistical functions Evaluating the operator ordering function atθ=0, we observe that exp(0) =11
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3d363b97-42ce-483e-848c-6d4523dfe577 · outbound
Quantum statistical functions For any distributionu∈ S ′, the Fourier trans- form of a derivative isF[∂ αu] = (−ix)αF[u]
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0beba407-5141-4eda-8c34-be23e9d4397e · outbound
Quantum statistical functions A distributionuis real-valued if⟨u, φ⟩is real for all real-valuedφ, which impliesu= ¯u
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7ec046b3-5ce7-451e-ba3d-f7bd8466ebb4 · outbound
Quantum statistical functions Unresolved cited work
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 072844a8-d6c7-465e-a336-b4a304ef57d7 · outbound
Quantum statistical functions Feller,An introduction to probability theory and its applications, Vol
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 06aad3ea-15ec-4e43-871b-5aacb26b3620 · outbound
Quantum statistical functions Pistone and C
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 20de6378-1277-4845-a6d9-1811cddfd906 · outbound
Quantum statistical functions Gibilisco and G
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 610e7661-bfb4-4608-9e27-fcbbfaea6d53 · outbound
Quantum statistical functions Pistone and M
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 34838d19-4971-4e02-8d9f-3f37a1fe195c · outbound
Quantum statistical functions Cena and G
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4420b886-ad9e-46a9-9128-314089210bb4 · outbound
Quantum statistical functions Pistone, inGeometric Science of Information, Lec- ture Notes in Computer Science, Vol
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d7983ed0-9c5d-4b9f-8d28-0280d301f430 · outbound
Quantum statistical functions Esposito, U
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f42cc72a-fa17-436c-9916-66c9b347930c · outbound
Quantum statistical functions Campisi, P
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 28630ddf-8b14-497e-9e75-c50df680017a · outbound
Quantum statistical functions Richter and W
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 007cc556-1beb-434e-af65-36265652b988 · outbound
Quantum statistical functions Dressel, Phys
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d79818c3-2ddc-4dc1-bb92-311fc07dbd2a · outbound
Quantum statistical functions Yunger Halpern, Phys
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5af4ee04-06ee-42ae-9bbc-104fd7669fba · outbound
Quantum statistical functions Unresolved cited work
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 84740233-9fbc-4c7a-98d6-d715682604c1 · outbound
Quantum statistical functions Unresolved cited work
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6e460865-ffa2-45e6-a0b8-f2f67575577b · outbound
Quantum statistical functions Yunger Halpern, B
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dc2a9065-c475-4f1b-b9b9-a92bd70525a0 · outbound
Quantum statistical functions Het´ enyi and P
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 94a1ca19-0dab-40a7-b8f0-d829ea1c3a08 · outbound
Quantum statistical functions Guarnieri, J
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 65e77d68-292a-48c6-82af-e5af917038f9 · outbound
Quantum statistical functions Schenk, arXiv:2506.10188 (2025)
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9590b905-99ea-484d-b1eb-f18f8a19aa59 · outbound
Quantum statistical functions Unresolved cited work
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f0fc5982-1ccf-45b7-b7b5-c274d7f201bd · outbound
Quantum statistical functions Unresolved cited work
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ba91af5f-2a99-4d72-9f98-950a08413110 · outbound
Quantum statistical functions Margenau and R
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c8f1588c-50e6-49c2-8e36-f787a5c0b01a · outbound
Quantum statistical functions Unresolved cited work
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d31f7077-375c-4955-8af3-84db3634a480 · outbound
Quantum statistical functions Aharonov, D
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b09527c1-4e8c-49c4-9a39-1b6cf093f92b · outbound
Quantum statistical functions Dressel, M
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c2a237cf-cdd0-4084-b783-9e0cee296d0e · outbound
Quantum statistical functions Unresolved cited work
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f96a813f-cfd8-474f-b68a-2e37cf38bdfd · outbound
Quantum statistical functions Unresolved cited work
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f1080ec3-63c0-4ed7-b7fb-416e52bfa2bb · outbound
Quantum statistical functions Unresolved cited work
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 72eeca72-5412-41bd-9002-f06d052cdf3a · outbound
Quantum statistical functions Unresolved cited work
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1dc9b8f2-24a9-419c-8488-8c1af6c6a07d · outbound
Quantum statistical functions Bochner,Harmonic Analysis and the Theory of Prob- ability, 1st ed
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e316ee70-b578-47fe-84e3-4a8b67398580 · outbound
Quantum statistical functions Unresolved cited work
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c69f92c1-31d6-4a6c-9ce4-b9865c30c861 · outbound
Quantum statistical functions Unresolved cited work
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b2ca6299-12bf-4e14-9449-e23c39ef6561 · outbound
Quantum statistical functions Unresolved cited work
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation de16f6bc-d37d-4c44-98d3-a5e6e073e60a · outbound
Quantum statistical functions Schwinger, Proc
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aec9a1f6-830c-4464-9890-df37741e93ff · outbound
Quantum statistical functions Schwinger, Proc
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 285e3307-4a78-4dd7-b2a7-ee3017984e6e · outbound
Quantum statistical functions Schwinger, Phys
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c26b066d-a153-4140-9e2b-b2acc4d5821b · outbound
Quantum statistical functions Schwinger, Phys
Reference 56
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dfdbb545-6f59-4889-8745-b741293e13b8 · outbound
Quantum statistical functions von Neumann,Mathematical foundations of quantum mechanics, Princeton Landmarks in Mathematics and Physics (Princeton university press, Princeton, New Jer- sey, 1955)
Reference 57
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c0d52503-424c-40b5-9ef9-ed687ef8ee4d · outbound
Quantum statistical functions Error-disturbance relations in mixed states
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6e8092c1-4dab-40cc-b1ca-78baa8925350 · outbound
Quantum statistical functions Pusz and S
Reference 59
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4034b83f-1021-4a7d-b1b0-3ef73ca12f10 · outbound
Quantum statistical functions Kubo and T
Reference 60
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d997e9bd-fcba-4820-9915-534e4ec3a55d · outbound
Quantum statistical functions Uhlmann, Rep
Reference 61
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6a890726-e531-471c-b96b-940d5397b7c8 · outbound
Quantum statistical functions Unresolved cited work
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 42c283ed-4997-4b02-b992-54da352b1f76 · outbound
Quantum statistical functions Ferrie, Rep
Reference 63
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dbb49f78-c78b-4818-b335-8f3dfcdbf23f · outbound
Quantum statistical functions Lee and I
Reference 64
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 06eee842-7d8a-4186-9d95-39204331d6f0 · outbound
Quantum statistical functions Lee and I
Reference 65
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1bceeb44-af07-4c8a-a922-f2d023dac13c · outbound
Quantum statistical functions Unresolved cited work
Reference 66
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 43bc1476-c8a6-47b3-8a85-66a175d445e0 · outbound
Quantum statistical functions Langrenez, D
Reference 67
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4e2a0fbb-5a4b-4c8f-972f-d46ef58a91c1 · outbound
Quantum statistical functions Unresolved cited work
Reference 68
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 966f213e-8cec-4d6f-b550-fae3f8ce9de8 · outbound
Quantum statistical functions Ozawa, Phys
Reference 69
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e4e36aa8-1e96-4136-bce2-2e09e96855ab · outbound
Quantum statistical functions Ozawa, AIP Conf
Reference 70
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bc9999db-d559-439a-b2cf-eb5583c313a5 · outbound
Quantum statistical functions Unresolved cited work
Reference 71
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c374233b-80ca-401b-b0b0-87d673af10d3 · outbound
Quantum statistical functions Gross, J
Reference 72
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 512d2703-051f-4573-be3b-20f795656080 · outbound
Quantum statistical functions Unresolved cited work
Reference 73
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ba275c5b-c51a-4a1d-8962-5fd3a7852085 · outbound
Quantum statistical functions Lostaglio, Phys
Reference 74
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d9edfcaf-07a2-41ef-83b8-270e9a0f9d42 · outbound
Quantum statistical functions Unresolved cited work
Reference 75
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3a90b89c-2ea9-445e-84c3-ec3b65e29c58 · outbound
Quantum statistical functions Ozawa, J
Reference 76
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3a251e3d-8671-490c-a00d-c083b9f9755c · outbound
Quantum statistical functions Ozawa, Ann
Reference 77
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cfa84800-f3c8-44a3-a66b-babe32a47002 · outbound
Quantum statistical functions Ozawa, Quantum measurement theory for systems with finite dimensional state spaces, inThe Quantum- Like Revolution: A Festschrift for Andrei Khrennikov, edited by A
Reference 78
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 32a21770-77cc-4f89-82e3-e34eb46fd7c8 · outbound
Quantum statistical functions Kedem and L
Reference 79
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 313d424e-8976-4ab3-9d16-4512cab80bc2 · outbound
Quantum statistical functions Ogawa, N
Reference 80
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9ead630f-5363-4672-bc85-0b3f15a39f02 · outbound
Quantum statistical functions Matsushita and H
Reference 81
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation faa8d1b4-a3e1-42d0-ac15-8bfe7fe289fe · outbound
Quantum statistical functions Avdoshkin and F
Reference 82
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d3e51697-534d-4dff-965a-19268c9c1ba7 · outbound
Quantum statistical functions Guo and J
Reference 83
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3285e6ba-d352-4c66-8af2-d98fb04f60f4 · outbound
Quantum statistical functions Dressel, J
Reference 84
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 13803b28-c3e7-4865-99f7-3eba34b63c9f · outbound
Quantum statistical functions Del Re, B
Reference 85
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8a25d248-d85c-4357-8527-51470cd6fe87 · outbound
Quantum statistical functions Ando and F
Reference 86
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 771cc1ca-8075-4930-b9d4-9a7d8f758e62 · outbound
Quantum statistical functions Unresolved cited work
Reference 87
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b233b9fa-81d2-4d50-886c-490b365e59b6 · outbound
Quantum statistical functions Hradil, Phys
Reference 88
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1cd28702-915f-43c1-9ed9-5a0550646fc2 · outbound
Quantum statistical functions Wiebe, C
Reference 89
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3f402e57-ce01-4572-9c3e-8fa07378f1fa · outbound
Quantum statistical functions Unresolved cited work
Reference 90
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fa53d31b-7614-4ab9-b78d-a50b61dea859 · outbound
Quantum statistical functions Unresolved cited work
Reference 91
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c31693ef-875c-403e-985c-4eede2e12da2 · outbound
Quantum statistical functions Paris and J
Reference 92
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0f2285eb-28fa-43d7-b780-58baf0ab17b9 · outbound
Quantum statistical functions Nagaoka and M
Reference 93
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c34faf3b-0e67-4253-b455-63c5191e15ed · outbound
Quantum statistical functions Unresolved cited work
Reference 94
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 570597a5-1254-47bc-a33b-58e7b2b64c11 · outbound
Quantum statistical functions Reed and B
Reference 95
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dc1f037b-39ef-422e-b6a7-30107f77c194 · outbound
Quantum statistical functions H¨ ormander,The Analysis of Linear Partial Differ- ential Operators I, 2nd ed., Classics in Mathematics (Springer Berlin, Heidelberg, Berlin, Heidelberg, 2003) p
Reference 96
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d7cf9ece-a0ee-46b6-aed3-4a322f6a18c5 · inbound
Map-Dependent Quantum Characteristic Functions and CP-Divisibility in Non-Markovian Quantum Dynamics Quantum statistical functions
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 4f36f995-cb48-4eb1-98e2-38fc772506c4 · inbound
Quantum Tilted Loss in Variational Optimization: Theory and Applications Quantum statistical functions
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 4b0f0d6f-91bd-400e-98ca-22a70d81b4f4 · inbound
Cumulant-based quantum relative R\'enyi functional Quantum statistical functions
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c77c5503-fa82-4906-b110-99386ff47c60 · inbound
A Path Integral Model of Cognition Quantum statistical functions
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.