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Paper Citation Record · LEDGER

Quantum statistical functions

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.

pith.paper-citation-record.v1
2602.05821 v2

Coverage vector

measured 96 of 96 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T04:20:40.961129Z

measured 100 of 100 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T07:52:29.805517Z

measured 1 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

96 of 96 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved96
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

0
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation dd661ce1-842f-40e3-85fd-964aa05caa4e · outbound

This paper cites This pure state|Ψ⟩is called a purification ofρ.

Quantum statistical functions This pure state|Ψ⟩is called a purification ofρ

Reference 1

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source=pdf_text observed=2026-08-03T04:20:34.483261Z digest=sha256:9b149d56b29ab7fdd6f7a99c06dcfa802f7926d31541683e398dcd0055458044

Observation b9634d85-8144-47ee-9a43-1a53a71ae585 · outbound

This paper cites We choose the ancillary spaceH ′ to be the dual space of the original Hilbert space H∗.

Quantum statistical functions We choose the ancillary spaceH ′ to be the dual space of the original Hilbert space H∗

Reference 2

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source=pdf_text observed=2026-08-03T04:20:34.588689Z digest=sha256:750f8fc00bc8cac8c4d7103862af93cc0b1e13213de6707a293492da62155fa0

Observation e069c04b-ae92-4da4-b524-08bfdc159455 · outbound

This paper cites Pusz and Woronowicz characterizedA#Bas the solution to a maximization problem within the cone of positive 5 operators.

Quantum statistical functions Pusz and Woronowicz characterizedA#Bas the solution to a maximization problem within the cone of positive 5 operators

Reference 3

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source=pdf_text observed=2026-08-03T04:20:34.717388Z digest=sha256:e0f414f4bbb0d84d6d63d4b4317d663db0cb0f366d4085bd1eaa7c91e4fbb9ba

Observation b1f34704-7e2b-4b7b-b90a-e38e67b1c8ed · outbound

This paper cites Following Uhlmann [40], an ampli- tudeWof a density operatorρis any operator satisfying ρ=W W †.

Quantum statistical functions Following Uhlmann [40], an ampli- tudeWof a density operatorρis any operator satisfying ρ=W W †

Reference 4

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source=pdf_text observed=2026-08-03T04:20:34.843236Z digest=sha256:523388ac1d99cacaceb226e6c94ee0e88c9ed68a012ca8614783d3aeed35e5b7

Observation fea056f6-88f9-4c93-a02d-d54893154a1b · outbound

This paper cites Definition 6 (Quantum moment-generating func- tion).

Quantum statistical functions Definition 6 (Quantum moment-generating func- tion)

Reference 5

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source=pdf_text observed=2026-08-03T04:20:34.972940Z digest=sha256:3dde8a2f71ec75305002659a082d833bda9700639c8023ca7968f06124f6f1d5

Observation a7742664-b419-42e2-bbdc-7364e51ecf38 · outbound

This paper cites Rosetta Stone,.

Quantum statistical functions Rosetta Stone,

Reference 6

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source=pdf_text observed=2026-08-03T04:20:35.061837Z digest=sha256:cba8542032567c82533be41659f634fbb760754fe7a19bb621019c0bc3c75e18

Observation 5e3fb666-61cb-4762-b82b-58a2a4d66d3c · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 7

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source=pdf_text observed=2026-08-03T04:20:35.174290Z digest=sha256:39023e3b46ea0984135d32f42ac1bd5794912ced252a106c74930fd752de458e

Observation 968c4319-7e00-41b9-b7b3-1b6c1576856f · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 8

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source=pdf_text observed=2026-08-03T04:20:35.266192Z digest=sha256:661894d46166dd336a102153efd5382e4e61658361fc128f60a1f3eacf5aad8e

Observation d8a5cc82-2825-44e7-8cf0-f7bc72f3e258 · outbound

This paper cites Beyond low-order moments, our framework elucidates the structure of generaln-point cor- relation functions.

Quantum statistical functions Beyond low-order moments, our framework elucidates the structure of generaln-point cor- relation functions

Reference 9

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source=pdf_text observed=2026-08-03T04:20:35.385689Z digest=sha256:a07428483624e4054dd4a9155d8ecd19a962b9e2271bbc1bb1d1bae24497962e

Observation b36fe9a6-57ad-490d-8470-4e1c288c5aef · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 10

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source=pdf_text observed=2026-08-03T04:20:35.480125Z digest=sha256:21a7948b398b8f119c545447c59c504a937ff9d33ec43466db116ff13d359a36

Observation 369b650e-159e-4572-b7b9-a0793e5245df · outbound

This paper cites •Exponential connection (e-connection):The Wigner limit (N→ ∞) corresponds to the e- connection.

Quantum statistical functions •Exponential connection (e-connection):The Wigner limit (N→ ∞) corresponds to the e- connection

Reference 11

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source=pdf_text observed=2026-08-03T04:20:35.574883Z digest=sha256:b21d1cef509c71e81e18b33278111b439beb4d4a61d8d259104a8078a521841c

Observation c22e54f0-15e6-4d8b-9674-1b7344a8cc2a · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 12

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source=pdf_text observed=2026-08-03T04:20:35.695259Z digest=sha256:5590158ee58593be2f722495b7566ef41bd6cf1219f615499483734d442735b5

Observation 0582acd6-1090-44bd-ab5d-d744638d12c1 · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 13

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source=pdf_text observed=2026-08-03T04:20:35.785031Z digest=sha256:543b389c6c74c4057093455f39a2bf8222bb2cf6a1c9554859397ee02f896e6d

Observation 1544c988-9717-4ed4-9f9c-c91d11dc2118 · outbound

This paper cites (68) usingW opt to find the final es- timate.

Quantum statistical functions (68) usingW opt to find the final es- timate

Reference 14

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source=pdf_text observed=2026-08-03T04:20:35.839480Z digest=sha256:c62175ff77c315d9a471ce85ba9fbc1e202ceffcde61f4d9ef29e5b87314f017

Observation 85ccae40-fe30-46e8-93fc-1fa40860b23b · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 15

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source=pdf_text observed=2026-08-03T04:20:35.893339Z digest=sha256:89bd2ca531d4980d0377cec91e47cd6a89a8164426fc2f8b950e5acdabccd17f

Observation 3e5a9ca1-1b32-40ec-8744-c199a29f701e · outbound

This paper cites 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).

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

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source=pdf_text observed=2026-08-03T04:20:35.994365Z digest=sha256:73107bab4e4c2c96220b33b0c9321e511472b8b078458b67db9953b280f0376e

Observation 650e55b3-5495-49de-9e02-19b51dcffc0b · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 17

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source=pdf_text observed=2026-08-03T04:20:36.076833Z digest=sha256:558ebf5814367970e648361bd271ac3efd49b1d3940692a17106ad00389e233c

Observation d226a24f-82f9-4625-9d34-baf69de3ffae · outbound

This paper cites Evaluating the operator ordering function atθ=0, we observe that exp(0) =11.

Quantum statistical functions Evaluating the operator ordering function atθ=0, we observe that exp(0) =11

Reference 18

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source=pdf_text observed=2026-08-03T04:20:36.143137Z digest=sha256:a7c16df6a1d373d744bd4edc5fa72072c383e150a0b9a21aba500cbe30157441

Observation 3d363b97-42ce-483e-848c-6d4523dfe577 · outbound

This paper cites For any distributionu∈ S ′, the Fourier trans- form of a derivative isF[∂ αu] = (−ix)αF[u].

Quantum statistical functions For any distributionu∈ S ′, the Fourier trans- form of a derivative isF[∂ αu] = (−ix)αF[u]

Reference 19

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source=pdf_text observed=2026-08-03T04:20:36.231331Z digest=sha256:266cc0d62c52a4bedb63250f5bb5e5ac808acb489bfb5be4a9ba871a5593958e

Observation 0beba407-5141-4eda-8c34-be23e9d4397e · outbound

This paper cites A distributionuis real-valued if⟨u, φ⟩is real for all real-valuedφ, which impliesu= ¯u.

Quantum statistical functions A distributionuis real-valued if⟨u, φ⟩is real for all real-valuedφ, which impliesu= ¯u

Reference 20

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source=pdf_text observed=2026-08-03T04:20:36.328662Z digest=sha256:f299e52c6654ed225463c157cca864b283d1af86e60de40a136de320e0752962

Observation 7ec046b3-5ce7-451e-ba3d-f7bd8466ebb4 · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 21

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source=pdf_text observed=2026-08-03T04:20:36.360220Z digest=sha256:ace66795ea564cfe92b6ff5f1f2cc8a333357baff9264aa7e1b89e0402edf07e

Observation 072844a8-d6c7-465e-a336-b4a304ef57d7 · outbound

This paper cites Feller,An introduction to probability theory and its applications, Vol.

Quantum statistical functions Feller,An introduction to probability theory and its applications, Vol

Reference 22

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source=pdf_text observed=2026-08-03T04:20:36.447165Z digest=sha256:4dfe8cfb28114847f54f52dab050dfc36eb3b48ea290ac26e00dd5f692e04b12

Observation 06aad3ea-15ec-4e43-871b-5aacb26b3620 · outbound

This paper cites Pistone and C.

Quantum statistical functions Pistone and C

Reference 23

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source=pdf_text observed=2026-08-03T04:20:36.530978Z digest=sha256:fe3011c9b0fe2d7f7606779a9821b308e8b710872bf7a5455e6935ecca7c21e8

Observation 20de6378-1277-4845-a6d9-1811cddfd906 · outbound

This paper cites Gibilisco and G.

Quantum statistical functions Gibilisco and G

Reference 24

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source=pdf_text observed=2026-08-03T04:20:36.594564Z digest=sha256:31db3c5b02894e77a1ff0d51659128f25725af1e41fcf269184109c05cb0d09c

Observation 610e7661-bfb4-4608-9e27-fcbbfaea6d53 · outbound

This paper cites Pistone and M.

Quantum statistical functions Pistone and M

Reference 25

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source=pdf_text observed=2026-08-03T04:20:36.668617Z digest=sha256:635e77afde643f7726241ba980805186d932475860594183fc70657f8921ed96

Observation 34838d19-4971-4e02-8d9f-3f37a1fe195c · outbound

This paper cites Cena and G.

Quantum statistical functions Cena and G

Reference 26

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source=pdf_text observed=2026-08-03T04:20:36.749410Z digest=sha256:3b6ace9d7ca0023106522f0265ebbf5bcdd40b2216a7cf7efe1a4673bee9213d

Observation 4420b886-ad9e-46a9-9128-314089210bb4 · outbound

This paper cites Pistone, inGeometric Science of Information, Lec- ture Notes in Computer Science, Vol.

Quantum statistical functions Pistone, inGeometric Science of Information, Lec- ture Notes in Computer Science, Vol

Reference 27

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source=pdf_text observed=2026-08-03T04:20:36.810938Z digest=sha256:6dd47287cb9f4d34c80867a7f6fd99ce7a2c28c6ab866298f151b25eae3e6ffb

Observation d7983ed0-9c5d-4b9f-8d28-0280d301f430 · outbound

This paper cites Esposito, U.

Quantum statistical functions Esposito, U

Reference 28

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source=pdf_text observed=2026-08-03T04:20:36.873566Z digest=sha256:e80bf6cea858e979c32234751a7dd078a95bfe5b9a94888844ce43665e76c457

Observation f42cc72a-fa17-436c-9916-66c9b347930c · outbound

This paper cites Campisi, P.

Quantum statistical functions Campisi, P

Reference 29

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:36.948618Z digest=sha256:356219b2d33fdf1a6d2b38b25956788c3f1f5335cb7b67b7801daf4cc90cdc87

Observation 28630ddf-8b14-497e-9e75-c50df680017a · outbound

This paper cites Richter and W.

Quantum statistical functions Richter and W

Reference 30

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source=pdf_text observed=2026-08-03T04:20:36.976404Z digest=sha256:8b6324df3dc71c6fa13813221ac970c71337aba9abdef3a5e68cf4a4c9efd50c

Observation 007cc556-1beb-434e-af65-36265652b988 · outbound

This paper cites Dressel, Phys.

Quantum statistical functions Dressel, Phys

Reference 31

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source=pdf_text observed=2026-08-03T04:20:37.047890Z digest=sha256:9dbb487e45680bf0cd20e1df45552c666a21916d527153425c1d073088533474

Observation d79818c3-2ddc-4dc1-bb92-311fc07dbd2a · outbound

This paper cites Yunger Halpern, Phys.

Quantum statistical functions Yunger Halpern, Phys

Reference 32

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source=pdf_text observed=2026-08-03T04:20:37.113386Z digest=sha256:00612f46f0f6318f2d326f0862f05dc1a03535685a32395382e2b0b91bd68e3b

Observation 5af4ee04-06ee-42ae-9bbc-104fd7669fba · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 33

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source=pdf_text observed=2026-08-03T04:20:37.191799Z digest=sha256:5b19edbccf31325e7f13db8314534a0ef5cfc87b61d79337c64f266ab80dd854

Observation 84740233-9fbc-4c7a-98d6-d715682604c1 · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 34

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source=pdf_text observed=2026-08-03T04:20:37.267153Z digest=sha256:9fa880095c867ff2dabc8505a7a95827747c970c198e793961821c3a3affa527

Observation 6e460865-ffa2-45e6-a0b8-f2f67575577b · outbound

This paper cites Yunger Halpern, B.

Quantum statistical functions Yunger Halpern, B

Reference 35

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source=pdf_text observed=2026-08-03T04:20:37.335759Z digest=sha256:f36667e58df9961774a37e6d67e0ccc95118a651bec14c0be52dc516f21f158d

Observation dc2a9065-c475-4f1b-b9b9-a92bd70525a0 · outbound

This paper cites Het´ enyi and P.

Quantum statistical functions Het´ enyi and P

Reference 36

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source=pdf_text observed=2026-08-03T04:20:37.397580Z digest=sha256:ee47748bd05787d956db87e41f772f2e07eb937ebecf765b8c8c669ece2a1a15

Observation 94a1ca19-0dab-40a7-b8f0-d829ea1c3a08 · outbound

This paper cites Guarnieri, J.

Quantum statistical functions Guarnieri, J

Reference 37

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source=pdf_text observed=2026-08-03T04:20:37.442103Z digest=sha256:6136966a3a17bab86b8bd0493119a47bfd8332f56cfb2672aee2de939e9d9a8f

Observation 65e77d68-292a-48c6-82af-e5af917038f9 · outbound

This paper cites Schenk, arXiv:2506.10188 (2025).

Quantum statistical functions Schenk, arXiv:2506.10188 (2025)

Reference 38

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source=pdf_text observed=2026-08-03T04:20:37.494609Z digest=sha256:dbc6ff1ed1958700330c2e6807505084c100388d0e1a12e3564d213fca93e589

Observation 9590b905-99ea-484d-b1eb-f18f8a19aa59 · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 39

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source=pdf_text observed=2026-08-03T04:20:37.547329Z digest=sha256:833cd3e8e535423ad22175be8a08e3ef6c164821813bb8ad5ea57c2ca76cce74

Observation f0fc5982-1ccf-45b7-b7b5-c274d7f201bd · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 40

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source=pdf_text observed=2026-08-03T04:20:37.634418Z digest=sha256:0162046b7c2ae769e61cbe2afd0357bff53c819e67cc13c34335f6b40b106384

Observation ba91af5f-2a99-4d72-9f98-950a08413110 · outbound

This paper cites Margenau and R.

Quantum statistical functions Margenau and R

Reference 41

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:37.697600Z digest=sha256:ed91016aa53c0b11ccb58e280eca0bd38e8e0b29499bcf1d6b681f58ada6964a

Observation c8f1588c-50e6-49c2-8e36-f787a5c0b01a · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 42

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unresolved
no resolver link, observed 2026-08-03T04:20:37.799788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:37.799788Z digest=sha256:8a37d01d3b32be7f86e9d3e57acacecc251be120123599849c85f02123f0709a

Observation d31f7077-375c-4955-8af3-84db3634a480 · outbound

This paper cites Aharonov, D.

Quantum statistical functions Aharonov, D

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:37.881287Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:37.881287Z digest=sha256:dff329f3c3672119315a8ce85d57915e71af3dc6e5de710ecdebce06b7b274c2

Observation b09527c1-4e8c-49c4-9a39-1b6cf093f92b · outbound

This paper cites Dressel, M.

Quantum statistical functions Dressel, M

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:37.972831Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:37.972831Z digest=sha256:242313a19862961f2e85f2c98c8c842c4a6f2b0191768a9695b7c3b84d685aec

Observation c2a237cf-cdd0-4084-b783-9e0cee296d0e · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:38.066727Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:38.066727Z digest=sha256:5c7c2b063ef1c38e834b25b19a8f0a91d214c002c08a1aaceaa20309120d64e2

Observation f96a813f-cfd8-474f-b68a-2e37cf38bdfd · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:38.141366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:38.141366Z digest=sha256:b76f368c8e095354026b448cd13e62eb3652733e3e345efb62078b9c719994fd

Observation f1080ec3-63c0-4ed7-b7fb-416e52bfa2bb · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:38.194293Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:38.194293Z digest=sha256:584d0aa9142e106d1871866d2c04c3c155227b1dc9a954be4cb1fe316dddc7ea

Observation 72eeca72-5412-41bd-9002-f06d052cdf3a · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:38.270668Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:38.270668Z digest=sha256:4ec9b1b40e1671aac8cc86c1e3c9bb9468e4a67836fbbb20964245b5b85a777f

Observation 1dc9b8f2-24a9-419c-8488-8c1af6c6a07d · outbound

This paper cites Bochner,Harmonic Analysis and the Theory of Prob- ability, 1st ed.

Quantum statistical functions Bochner,Harmonic Analysis and the Theory of Prob- ability, 1st ed

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:38.351404Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:38.351404Z digest=sha256:0e1e1d071eac220c6cfcc06e8ef025ec92d500c2ebb4bf2fa054c044ca7e7840

Observation e316ee70-b578-47fe-84e3-4a8b67398580 · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:38.418785Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:38.418785Z digest=sha256:3d56ac78722309f4e935ed32fbe62dff9c0ca6bceb9b79f2fa11441edc1cb666

Observation c69f92c1-31d6-4a6c-9ce4-b9865c30c861 · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:38.497296Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:38.497296Z digest=sha256:caa9a96d3976e24fa21cce114c84cbb5fd81efa0217e4cd6786999a61653917a

Observation b2ca6299-12bf-4e14-9449-e23c39ef6561 · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:38.557190Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:38.557190Z digest=sha256:4f8eececbce4090229d2fbd64868a1e74975f0cb66346c2468b1c750995faff1

Observation de16f6bc-d37d-4c44-98d3-a5e6e073e60a · outbound

This paper cites Schwinger, Proc.

Quantum statistical functions Schwinger, Proc

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:38.601675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:38.601675Z digest=sha256:04a80abe2a4aae85711391c8176409526602afda4b838ab0d81ff7e2430e3035

Observation aec9a1f6-830c-4464-9890-df37741e93ff · outbound

This paper cites Schwinger, Proc.

Quantum statistical functions Schwinger, Proc

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:38.675428Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:38.675428Z digest=sha256:e95ea04b7c15cbb6e6f732fe6142b6ba4c74d2eb448b330847ad753af7e0dcf0

Observation 285e3307-4a78-4dd7-b2a7-ee3017984e6e · outbound

This paper cites Schwinger, Phys.

Quantum statistical functions Schwinger, Phys

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:38.758980Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:38.758980Z digest=sha256:a3acc111877b7699658b82b9cd4dc5de6c91a38fba1227593f507fd147eeb071

Observation c26b066d-a153-4140-9e2b-b2acc4d5821b · outbound

This paper cites Schwinger, Phys.

Quantum statistical functions Schwinger, Phys

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:38.846276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:38.846276Z digest=sha256:b81a513c172effabb950f28f1e3ea8fcc00d9c63d32d3424731e53f8e515aca2

Observation dfdbb545-6f59-4889-8745-b741293e13b8 · outbound

This paper cites von Neumann,Mathematical foundations of quantum mechanics, Princeton Landmarks in Mathematics and Physics (Princeton university press, Princeton, New Jer- sey, 1955).

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

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:38.928516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:38.928516Z digest=sha256:a8166f9a5dab84fda17f65c0dfd659bae5701c9c1eb4da4a2de21f2a9484b9d1

Observation c0d52503-424c-40b5-9ef9-ed687ef8ee4d · outbound

This paper cites Error-disturbance relations in mixed states.

Quantum statistical functions Error-disturbance relations in mixed states

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:38.975777Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:38.975777Z digest=sha256:8cfd5f62344946493e8206256962e9063ed322f5de2d887dca52cf868cc6bce2

Observation 6e8092c1-4dab-40cc-b1ca-78baa8925350 · outbound

This paper cites Pusz and S.

Quantum statistical functions Pusz and S

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:38.978655Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:38.978655Z digest=sha256:6000c6d46c279d957f851d919c0beca728cf6e4095c4dbd258aef097c24bf758

Observation 4034b83f-1021-4a7d-b1b0-3ef73ca12f10 · outbound

This paper cites Kubo and T.

Quantum statistical functions Kubo and T

Reference 60

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:39.088557Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:39.088557Z digest=sha256:d4e8f52c2819d24229c8f70fdc3584c1423e18108abd2a0830f38cfb28e59dee

Observation d997e9bd-fcba-4820-9915-534e4ec3a55d · outbound

This paper cites Uhlmann, Rep.

Quantum statistical functions Uhlmann, Rep

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:39.188412Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:39.188412Z digest=sha256:2b8d9311ae496aaf1a6d7c14edf960b55d588321c15a0a7024c9fb8a008c03a4

Observation 6a890726-e531-471c-b96b-940d5397b7c8 · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:39.241784Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:39.241784Z digest=sha256:56a98a54b9c6651d66e8623e5741b110205ed07a4a23e834bc93899997437fac

Observation 42c283ed-4997-4b02-b992-54da352b1f76 · outbound

This paper cites Ferrie, Rep.

Quantum statistical functions Ferrie, Rep

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:39.285430Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:39.285430Z digest=sha256:7202ecbb412bc2935ae6d8b8a12e4ced99b9a32f3a359c733747cc269ba99157

Observation dbb49f78-c78b-4818-b335-8f3dfcdbf23f · outbound

This paper cites Lee and I.

Quantum statistical functions Lee and I

Reference 64

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:39.319705Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:39.319705Z digest=sha256:fc432cc15569acfde41bf48c5c8dec0f357557cec45b7c26217e53860beaae7b

Observation 06eee842-7d8a-4186-9d95-39204331d6f0 · outbound

This paper cites Lee and I.

Quantum statistical functions Lee and I

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:39.368247Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:39.368247Z digest=sha256:2494c9fa07a43b66a89a1a649fa0d88b6e866b84f75480b09889e0018e480153

Observation 1bceeb44-af07-4c8a-a922-f2d023dac13c · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 66

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:39.478667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:39.478667Z digest=sha256:426249034d00a8ecc9ac6dd7f0794ca806bcde4d62fedabe38ddacc6a1453652

Observation 43bc1476-c8a6-47b3-8a85-66a175d445e0 · outbound

This paper cites Langrenez, D.

Quantum statistical functions Langrenez, D

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:39.531711Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:39.531711Z digest=sha256:bf72f0d1f96bd040ff5fe31d06405842f47b20856e907357dda683a0c8ea1f59

Observation 4e2a0fbb-5a4b-4c8f-972f-d46ef58a91c1 · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 68

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:39.567829Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:39.567829Z digest=sha256:009f75199c65f201fbeadc9b4b3990faacb996c5ceb342f7d035c7502fc7fad2

Observation 966f213e-8cec-4d6f-b550-fae3f8ce9de8 · outbound

This paper cites Ozawa, Phys.

Quantum statistical functions Ozawa, Phys

Reference 69

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:39.587347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:39.587347Z digest=sha256:c4f60a9c52a2ef1539affa1cf955a30f8b9cf921a82a1a1a7b22bd44dc0ff940

Observation e4e36aa8-1e96-4136-bce2-2e09e96855ab · outbound

This paper cites Ozawa, AIP Conf.

Quantum statistical functions Ozawa, AIP Conf

Reference 70

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:39.613991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:39.613991Z digest=sha256:53e42beb55a010d3fd75a1ee3c027249675a1b73439df274cb7891f224f038e4

Observation bc9999db-d559-439a-b2cf-eb5583c313a5 · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 71

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:39.628387Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:39.628387Z digest=sha256:1a7e2f8bd904c9ba7439920cfe1be7c57ea0365d319362ee4b69ea2e53657f55

Observation c374233b-80ca-401b-b0b0-87d673af10d3 · outbound

This paper cites Gross, J.

Quantum statistical functions Gross, J

Reference 72

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:39.713262Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:39.713262Z digest=sha256:53c8030c8bd1c2a031c709902edbe4d901adfae4420bc8ced1894abeeabd5b14

Observation 512d2703-051f-4573-be3b-20f795656080 · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 73

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:39.790918Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:39.790918Z digest=sha256:5666c93090b15c673df51c82d502c890e72d853cb2fe68cf22ef1d33b0e5bbb8

Observation ba275c5b-c51a-4a1d-8962-5fd3a7852085 · outbound

This paper cites Lostaglio, Phys.

Quantum statistical functions Lostaglio, Phys

Reference 74

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:39.821615Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:39.821615Z digest=sha256:d23ee6d6d957671d5d98a7929fe2c0fec4887ee9767f96cff6316a8b9fb9a9c9

Observation d9edfcaf-07a2-41ef-83b8-270e9a0f9d42 · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 75

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:39.869543Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:39.869543Z digest=sha256:0be110f93e16ff71be179dcee8acc81b26c22858f64610f3871d59b55e428c65

Observation 3a90b89c-2ea9-445e-84c3-ec3b65e29c58 · outbound

This paper cites Ozawa, J.

Quantum statistical functions Ozawa, J

Reference 76

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:39.904606Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:39.904606Z digest=sha256:009272c54efee88eaa6c3973d62403f9709dbd2574ecd0d6df0dce301592dec7

Observation 3a251e3d-8671-490c-a00d-c083b9f9755c · outbound

This paper cites Ozawa, Ann.

Quantum statistical functions Ozawa, Ann

Reference 77

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:39.931735Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:39.931735Z digest=sha256:19ccb58bcf4ceaf60aede0cb2ec4a068fd4afaf790ec626935fd1a14d81bd17f

Observation cfa84800-f3c8-44a3-a66b-babe32a47002 · outbound

This paper cites Ozawa, Quantum measurement theory for systems with finite dimensional state spaces, inThe Quantum- Like Revolution: A Festschrift for Andrei Khrennikov, edited by A.

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

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:39.969794Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:39.969794Z digest=sha256:18095e46932c8166bd873d4c8b00f5ac5a07114bf01af1cdcae28ee88cc9cbbe

Observation 32a21770-77cc-4f89-82e3-e34eb46fd7c8 · outbound

This paper cites Kedem and L.

Quantum statistical functions Kedem and L

Reference 79

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:40.008649Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:40.008649Z digest=sha256:1f28d397ba78e8c4a352fc7d1c1928969e98c4a1db15c60032a2fc71afeb7254

Observation 313d424e-8976-4ab3-9d16-4512cab80bc2 · outbound

This paper cites Ogawa, N.

Quantum statistical functions Ogawa, N

Reference 80

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:40.038995Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:40.038995Z digest=sha256:06bc9d8fd9a57b5e758b0cf91ce4e00b8899f6355b3304230e416377e20d84ca

Observation 9ead630f-5363-4672-bc85-0b3f15a39f02 · outbound

This paper cites Matsushita and H.

Quantum statistical functions Matsushita and H

Reference 81

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:40.130889Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:40.130889Z digest=sha256:1df70b8c6177ce2b120d73ca607892be6178360b6e7d1957db87fac4443dc817

Observation faa8d1b4-a3e1-42d0-ac15-8bfe7fe289fe · outbound

This paper cites Avdoshkin and F.

Quantum statistical functions Avdoshkin and F

Reference 82

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:40.171317Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:40.171317Z digest=sha256:d0362c9cffe97d7b5050861322127c0f6245a0f87ca8077d237b08ccd53c6ea0

Observation d3e51697-534d-4dff-965a-19268c9c1ba7 · outbound

This paper cites Guo and J.

Quantum statistical functions Guo and J

Reference 83

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:40.281404Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:40.281404Z digest=sha256:81c8d6f39bda310d530e77cf43a74aa8d9eb04404bd2580cc8d0f0b3354c8fb7

Observation 3285e6ba-d352-4c66-8af2-d98fb04f60f4 · outbound

This paper cites Dressel, J.

Quantum statistical functions Dressel, J

Reference 84

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:40.380728Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:40.380728Z digest=sha256:cc84c750ec6d12cd3ff3f9b39f11b725ac0433f1b945f292292f5ef10b5b75ee

Observation 13803b28-c3e7-4865-99f7-3eba34b63c9f · outbound

This paper cites Del Re, B.

Quantum statistical functions Del Re, B

Reference 85

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:40.490284Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:20:40.490284Z digest=sha256:cff5e9d443db7b5295c665ee42c5744a08f0e1d305a87f04cb2cd101b764d618

Observation 8a25d248-d85c-4357-8527-51470cd6fe87 · outbound

This paper cites Ando and F.

Quantum statistical functions Ando and F

Reference 86

Resolution
unresolved
no resolver link, observed 2026-08-03T04:20:40.523586Z

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Observation 771cc1ca-8075-4930-b9d4-9a7d8f758e62 · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 87

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Observation b233b9fa-81d2-4d50-886c-490b365e59b6 · outbound

This paper cites Hradil, Phys.

Quantum statistical functions Hradil, Phys

Reference 88

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Observation 1cd28702-915f-43c1-9ed9-5a0550646fc2 · outbound

This paper cites Wiebe, C.

Quantum statistical functions Wiebe, C

Reference 89

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Observation 3f402e57-ce01-4572-9c3e-8fa07378f1fa · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 90

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Observation fa53d31b-7614-4ab9-b78d-a50b61dea859 · outbound

This paper cites an unresolved cited work.

Quantum statistical functions Unresolved cited work

Reference 91

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Observation c31693ef-875c-403e-985c-4eede2e12da2 · outbound

This paper cites Paris and J.

Quantum statistical functions Paris and J

Reference 92

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Observation 0f2285eb-28fa-43d7-b780-58baf0ab17b9 · outbound

This paper cites Nagaoka and M.

Quantum statistical functions Nagaoka and M

Reference 93

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Observation c34faf3b-0e67-4253-b455-63c5191e15ed · outbound

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Quantum statistical functions Unresolved cited work

Reference 94

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Observation 570597a5-1254-47bc-a33b-58e7b2b64c11 · outbound

This paper cites Reed and B.

Quantum statistical functions Reed and B

Reference 95

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Observation dc1f037b-39ef-422e-b6a7-30107f77c194 · outbound

This paper cites H¨ ormander,The Analysis of Linear Partial Differ- ential Operators I, 2nd ed., Classics in Mathematics (Springer Berlin, Heidelberg, Berlin, Heidelberg, 2003) p.

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

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Pith citing papers

Observation d7cf9ece-a0ee-46b6-aed3-4a322f6a18c5 · inbound

Map-Dependent Quantum Characteristic Functions and CP-Divisibility in Non-Markovian Quantum Dynamics cites this paper.

Map-Dependent Quantum Characteristic Functions and CP-Divisibility in Non-Markovian Quantum Dynamics Quantum statistical functions

Reference 4

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arxiv_id, observed 2026-06-19T17:09:51.158435Z

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Observation 4f36f995-cb48-4eb1-98e2-38fc772506c4 · inbound

Quantum Tilted Loss in Variational Optimization: Theory and Applications cites this paper.

Quantum Tilted Loss in Variational Optimization: Theory and Applications Quantum statistical functions

Reference 34

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arxiv_id, observed 2026-06-19T17:09:51.158435Z

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Observation 4b0f0d6f-91bd-400e-98ca-22a70d81b4f4 · inbound

Cumulant-based quantum relative R\'enyi functional cites this paper.

Cumulant-based quantum relative R\'enyi functional Quantum statistical functions

Reference 31

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local_arxiv, observed 2026-07-01T05:55:25.176931Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation c77c5503-fa82-4906-b110-99386ff47c60 · inbound

A Path Integral Model of Cognition cites this paper.

A Path Integral Model of Cognition Quantum statistical functions

Reference 45

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