Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-14T08:17:10.162534Z
Paper Citation Record · LEDGER
As of 9 August 2026, this Paper Citation Record lists 66 of 66 outbound references and 0 inbound Pith citation observations for arXiv:2607.10921.
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 2026-07-14T08:17:10.162534Z
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
A source-named dated measurement, never combined with another source.
Source: cited_works
66 of 66 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation dd11b3ed-c047-480d-a5e4-2647d455d223 · outbound
Krylov Complexity from Loschmidt Amplitude Just the 11 existence of|| F ||constrains the asymptotic growth of complexity through (43), as shown below in (47) and through the analysis of the kernel in Appendix A 3
Reference 1
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Unavailable: canonical work link unavailable.
Observation 2f59b57b-73e8-4d6b-aa02-762de7792929 · outbound
Krylov Complexity from Loschmidt Amplitude As long as the measure is even, meaning thata n continue to vanish,g tϕ = 0 and the metric is diagonal
Reference 2
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Observation 3641c9e0-d067-4bb5-92fc-f5829162ccdd · outbound
Krylov Complexity from Loschmidt Amplitude Krylov- winding
Reference 3
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Observation bfcb5064-b040-4f83-9329-e0cd1ed3b566 · outbound
Krylov Complexity from Loschmidt Amplitude Unresolved cited work
Reference 4
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Observation a8e89590-05c6-49c7-909f-8b3da27f35c8 · outbound
Krylov Complexity from Loschmidt Amplitude Krylov Complexity
Reference 5
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Observation d9e24bbb-e7be-4a7d-829d-3d4fa3d8c89b · outbound
Reference 6
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Observation c770f728-cf19-4fc7-8b03-805ddc01e1c5 · outbound
Krylov Complexity from Loschmidt Amplitude Unresolved cited work
Reference 8
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Unavailable: canonical work link unavailable.
Observation d0a114c7-3d72-4f38-bfde-056bf1e0a212 · outbound
Krylov Complexity from Loschmidt Amplitude Caputa and S
Reference 9
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Unavailable: canonical work link unavailable.
Observation bac7c6fe-806b-4713-acb3-50628d4746e1 · outbound
Krylov Complexity from Loschmidt Amplitude Unresolved cited work
Reference 10
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Observation abdeb649-2213-4a27-a800-2c7be7206824 · outbound
Krylov Complexity from Loschmidt Amplitude Unresolved cited work
Reference 11
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Unavailable: canonical work link unavailable.
Observation 31218b30-2f6f-4a20-8fac-1ba969d05a4a · outbound
Krylov Complexity from Loschmidt Amplitude Alishahiha and S
Reference 12
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Observation b81171e5-0516-4cb5-9dcd-30e607c95245 · outbound
Reference 13
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Unavailable: canonical work link unavailable.
Observation 030fef1c-e319-40af-892a-ded7f5834be9 · outbound
Krylov Complexity from Loschmidt Amplitude Erdmenger, S.-K
Reference 14
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Observation cbcb6df4-4553-4789-9b70-24c37f617c7d · outbound
Krylov Complexity from Loschmidt Amplitude Unresolved cited work
Reference 15
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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7f356659-86b5-4bb6-b907-c2c37079130f · outbound
Reference 16
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Observation 66f831cd-c103-48c5-8d15-0eebc06d13ed · outbound
Krylov Complexity from Loschmidt Amplitude Unresolved cited work
Reference 17
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 0a4835cf-12ee-4e7e-8b93-e07632d8e6cd · outbound
Krylov Complexity from Loschmidt Amplitude Ermakov and O
Reference 18
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Observation c6ff72ac-b5de-48f1-931d-f5f58696fee6 · outbound
Krylov Complexity from Loschmidt Amplitude Maldacena, S
Reference 19
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Unavailable: canonical work link unavailable.
Observation 119f6435-281b-4876-803c-988e7d6d990b · outbound
Krylov Complexity from Loschmidt Amplitude Balasubramanian, P
Reference 20
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Unavailable: canonical work link unavailable.
Observation 0882d01e-6277-4133-90d5-8a59f4a5b4f2 · outbound
Krylov Complexity from Loschmidt Amplitude Peres, Stability of quantum motion in chaotic and regular systems, Phys
Reference 21
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Unavailable: canonical work link unavailable.
Observation 9c843964-9ffd-43d4-b591-63387b5f2a3c · outbound
Krylov Complexity from Loschmidt Amplitude Wisniacki, Loschmidt echo, Scholarpedia7, 11687 (2012)
Reference 22
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Unavailable: canonical work link unavailable.
Observation 237fc853-462d-410f-87b7-1eb62fe4b14a · outbound
Reference 23
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Unavailable: canonical work link unavailable.
Observation ea5683ee-0289-4c02-a48a-e4fde5d1cc4d · outbound
Krylov Complexity from Loschmidt Amplitude Unresolved cited work
Reference 24
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Unavailable: canonical work link unavailable.
Observation 26ad54a0-f31b-4c5b-baab-739cbdd52329 · outbound
Krylov Complexity from Loschmidt Amplitude Jacquod, P
Reference 25
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Unavailable: canonical work link unavailable.
Observation ae7101e7-e556-477c-b5b2-908d955e4354 · outbound
Krylov Complexity from Loschmidt Amplitude Jacquod, I
Reference 26
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 199fdfad-6d92-4cb4-a8f7-a763a1006466 · outbound
Reference 28
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Unavailable: canonical work link unavailable.
Observation afdfd5ed-ec1d-4b02-bf2e-055ff305812e · outbound
Krylov Complexity from Loschmidt Amplitude Szeg¨ o,Orthogonal Polynomials, Vol
Reference 29
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Unavailable: canonical work link unavailable.
Observation 3f20d3ed-8b3f-497c-ae0e-616b7330c530 · outbound
Krylov Complexity from Loschmidt Amplitude Geometry of Krylov Complexity
Reference 30
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Unavailable: canonical work link unavailable.
Observation 5526d2aa-e358-4d93-b54e-7183eb9a88a7 · outbound
Krylov Complexity from Loschmidt Amplitude M¨ uck and Y
Reference 31
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Unavailable: canonical work link unavailable.
Observation 493ed89d-0226-4990-8ca1-88121f10e9df · outbound
Krylov Complexity from Loschmidt Amplitude Murugan and H
Reference 32
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Unavailable: canonical work link unavailable.
Observation ef3d3965-f5fe-4efa-9a9c-7f7e5599ce8b · outbound
Krylov Complexity from Loschmidt Amplitude Bhattacharjee, P
Reference 33
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Unavailable: canonical work link unavailable.
Observation 7bc38fb6-c6c0-489f-9a9f-016c5f54b003 · outbound
Krylov Complexity from Loschmidt Amplitude Chakraborty and D
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 59442786-c915-4c80-8daf-e78c41ef101f · outbound
Krylov Complexity from Loschmidt Amplitude Unresolved cited work
Reference 35
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Unavailable: canonical work link unavailable.
Observation 1362b8e6-7fb1-48ef-8cf1-00d1e6283de6 · outbound
Krylov Complexity from Loschmidt Amplitude A bulk manifestation of Krylov complexity
Reference 36
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Unavailable: canonical work link unavailable.
Observation 3875fd53-ee56-4664-a096-1f8f314de280 · outbound
Krylov Complexity from Loschmidt Amplitude On Chord Dynamics and Complexity Growth in Double-Scaled SYK
Reference 37
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Unavailable: canonical work link unavailable.
Observation 41ea6b54-d1f4-4700-adb5-e43b940937dd · outbound
Krylov Complexity from Loschmidt Amplitude Unresolved cited work
Reference 38
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Unavailable: canonical work link unavailable.
Observation f24469f2-b527-4fce-98f1-08cb562e4ae7 · outbound
Krylov Complexity from Loschmidt Amplitude Complexity measures in QFT and constrained geometric actions
Reference 39
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Unavailable: canonical work link unavailable.
Observation f969c9d3-99be-48c9-bd4d-53ced7669241 · outbound
Krylov Complexity from Loschmidt Amplitude Unresolved cited work
Reference 40
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 cea43531-876f-4602-ac36-464c1baa5212 · outbound
Krylov Complexity from Loschmidt Amplitude Balasubramanian, P
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7bc0570e-98c7-4872-aa05-bce3dfe3ea5e · outbound
Krylov Complexity from Loschmidt Amplitude Temperature dependence in Krylov space
Reference 42
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Unavailable: canonical work link unavailable.
Observation fa69ffef-be16-4417-b581-51374444c446 · outbound
Krylov Complexity from Loschmidt Amplitude Rabinovici, A
Reference 43
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Observation 5e572c28-9200-41e6-ae1f-7a9afb6df9c3 · outbound
Krylov Complexity from Loschmidt Amplitude Quantum chaos, integrability, and late times in the Krylov basis
Reference 44
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Unavailable: canonical work link unavailable.
Observation c45cdd3f-4e8e-4a80-9c31-7db7d771e2e1 · outbound
Krylov Complexity from Loschmidt Amplitude Chakraborty,Topics in Quantum Information, Complexity and Chaos, Ph.D
Reference 45
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Unavailable: canonical work link unavailable.
Observation dc81a842-f213-4f4d-bfc3-311da05b2551 · outbound
Krylov Complexity from Loschmidt Amplitude Kolodrubetz, D
Reference 46
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Observation 780bde47-4874-4455-9eb8-173afb4b21ec · outbound
Reference 47
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Unavailable: canonical work link unavailable.
Observation 57ee9a5e-ce48-4ec4-8819-5a89b4ae5f8b · outbound
Krylov Complexity from Loschmidt Amplitude Unresolved cited work
Reference 48
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Unavailable: canonical work link unavailable.
Observation 3936ca6d-dae1-42b2-93e7-fdee7884b613 · outbound
Krylov Complexity from Loschmidt Amplitude Unresolved cited work
Reference 49
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Unavailable: canonical work link unavailable.
Observation 591eaf93-1523-4872-8504-eede6071e6b4 · outbound
Krylov Complexity from Loschmidt Amplitude Simon, Holonomy, the quantum adiabatic theorem, and berry’s phase, Phys
Reference 50
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Unavailable: canonical work link unavailable.
Observation 83eb9273-403c-4dff-9adc-a17306f3ea23 · outbound
Reference 51
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 7eb89260-1f63-4be9-be81-0c604c65b235 · outbound
Krylov Complexity from Loschmidt Amplitude H¨ ornedal, N
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 20a89fbe-fa36-47ba-96f6-90552f80b861 · outbound
Krylov Complexity from Loschmidt Amplitude Ozawa and B
Reference 53
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Unavailable: canonical work link unavailable.
Observation 45c96642-eba8-478c-862c-d972fe75a94e · outbound
Reference 54
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Unavailable: canonical work link unavailable.
Observation 090c811e-32a0-4ece-8ee7-feaf41a265d4 · outbound
Krylov Complexity from Loschmidt Amplitude Barb´ on, E
Reference 55
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Unavailable: canonical work link unavailable.
Observation f6982aa6-5dcd-47ea-879f-bea5799c0900 · outbound
Reference 56
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Unavailable: canonical work link unavailable.
Observation 63f12b51-7f86-4140-b05d-1c54c9ec793f · outbound
Reference 57
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Unavailable: canonical work link unavailable.
Observation 5553fd6d-33c2-4333-bc5a-c3b4fa9faabe · outbound
Krylov Complexity from Loschmidt Amplitude Ismail,Interplay Between Computational Techniques and Quantum Theory: Advancing Quantum Chaos and Quantum Error Correction, Ph.D
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f56a58ed-86af-4a71-96d8-02581f166a96 · outbound
Krylov Complexity from Loschmidt Amplitude Unresolved cited work
Reference 59
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Unavailable: canonical work link unavailable.
Observation 387ea10c-2683-4f8f-9857-51d3ee9b8072 · outbound
Krylov Complexity from Loschmidt Amplitude Unresolved cited work
Reference 60
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Unavailable: canonical work link unavailable.
Observation eb40cf22-4f84-42d0-83c4-3115a08acd1c · outbound
Krylov Complexity from Loschmidt Amplitude Avdoshkin and A
Reference 61
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Unavailable: canonical work link unavailable.
Observation 9e80d8a2-3afa-40f3-be77-6fb078166fe7 · outbound
Krylov Complexity from Loschmidt Amplitude The Krylov basis is specified by orthogonal polynomials given in (12)
Reference 62
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Unavailable: canonical work link unavailable.
Observation 4f79a1d3-7ba0-4b44-b507-ad22446030c1 · outbound
Krylov Complexity from Loschmidt Amplitude The derivatives∂ k ϕK(E1, E2, ϕ) will typically only be distributional atϕ= 0
Reference 63
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Unavailable: canonical work link unavailable.
Observation e7048e69-e3cb-42df-b7e0-b6a3e11e6b8c · outbound
Krylov Complexity from Loschmidt Amplitude The relevant integral which gives the square of the Frobenius norm is RR | ˜F(E 1, E2)|2dE1dE2
Reference 64
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Unavailable: canonical work link unavailable.
Observation 0b44b6b6-08b6-4f56-82be-305a7edf9a5f · outbound
Krylov Complexity from Loschmidt Amplitude This matches the asymptotic growth rate predicted by (47), with the additional assumption that lim t→∞ C(t) = 0
Reference 65
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Unavailable: canonical work link unavailable.
Observation ba02a23c-7c4c-40b6-bcd1-5dffab9a489f · outbound
Krylov Complexity from Loschmidt Amplitude We restrict to the simple case whereMandBare exactly like the position and momentum operator
Reference 66
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Observation 09afdfa1-99e9-4329-828b-3b3453b35d87 · outbound
Krylov Complexity from Loschmidt Amplitude Unresolved cited work
Reference 67
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Unavailable: canonical work link unavailable.
Observation bbe4096c-44a6-4cd6-9ba9-4097ce4b4f6e · outbound
Krylov Complexity from Loschmidt Amplitude forward” and “backward
Reference 68
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Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.