Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-24T01:43:55.881513Z
Paper Citation Record
Channel-State duality with centers
Citation observations with source coverage and deterministic predicates. A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-07-11T06:31:22.384518+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
Counted states
46 of 46 outbound references displayed
- verified exact18
- verified fuzzy28
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 15d3ec37-41d4-410c-b18e-e4f2e3d3aeb5
Channel-State duality with centers BI|O = L E B(HI|O,E)
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.092077Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation 3df029e9-d8ac-4d20-a516-9dd2abbd4562
Channel-State duality with centers Unresolved cited work
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.116894Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation c99fecb5-869c-48db-b68a-174497d27c0e
Channel-State duality with centers Unresolved cited work
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.141604Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation f97384ac-1a83-4464-9bc4-027a4dba0f4a
Channel-State duality with centers Σ( X) = Xρ tI
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.137185Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation 2e845a49-a2df-454b-9723-8e8bff06efdf
Channel-State duality with centers Unresolved cited work
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.103922Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation dc7fb9ec-092e-40ba-8c66-295f36ca0265
Channel-State duality with centers Trace preservation is just the property TrBE OE[ρE,E] = IIE DIE cE = DIE K
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.146105Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation b1dacbfb-b24a-4427-943d-63b4891994f3
Channel-State duality with centers This can be generalised to density matrices in the folium of a state ω ∈ S (A) of some C*-algebra
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.132983Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation a7dbcc18-5432-4e33-9483-b38ef6b6a377
Channel-State duality with centers They may be generalised to approx- imate identities of C*-algebras and associated nets of approximate extension maps
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.099709Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation 25663ac4-3a4f-4b9c-b6f7-b107c620a96f
Channel-State duality with centers Relative to an extension map, one may either take the inverse or the adjoint generalisation
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.108254Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation 90e6de0d-0b11-41a3-a5fc-7e470d6aced0
Channel-State duality with centers Our example fits directly into a small class of maps in the general scheme which can be represented by a density matrix ρ
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.128196Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation fe325ec6-d6c6-472e-86f5-e1bdb077403f
Channel-State duality with centers Channel-state duality
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.120675Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation ea58caf0-6715-431c-8430-beb34b5b2a59
Channel-State duality with centers Channel-state duality
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.124412Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation 83c178d1-1fae-45f0-8e51-06bf0f0a95f6
Channel-State duality with centers On quan- tum operations as quantum states
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.112958Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation c5532c99-2721-434d-b6b9-ddfdb5948d31
Channel-State duality with centers Holographic properties of superposed quantum geometries
Reference 14
- Resolution
- verified exact
- arxiv_id, observed 2026-05-24T01:45:55.650523Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation 7b428503-726d-4e13-a553-7e7f63e8d78c
Channel-State duality with centers Holographic duality from random tensor networks
Reference 15
- Resolution
- verified exact
- local_arxiv, observed 2026-05-24T01:45:55.655639Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation a40370f3-69a2-48d8-a97f-4ecfaf617bd7
Channel-State duality with centers Holographic Tensor Networks with Bulk Gauge Symmetries
Reference 16
- Resolution
- verified exact
- arxiv_id, observed 2026-05-24T01:45:55.644229Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation 0fab3c08-fc2b-4e10-b593-0b404d927fa1
Channel-State duality with centers Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspon- dence
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.081546Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation 0d99f40b-852e-4247-b3d9-d828b9aff9e0
Channel-State duality with centers Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence
Reference 18
- Resolution
- verified exact
- local_arxiv, observed 2026-05-24T01:45:55.638837Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation 16636a84-3cfa-44e6-a7a3-08414087ece2
Channel-State duality with centers Decomposition of entanglement entropy in lattice gauge theory
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-05-24T01:45:55.599120Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation 41893108-b140-415b-83f5-1d60eff706c6
Channel-State duality with centers Corner symmetry and quantum geometry, February
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.078761Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation 15058a95-301f-47f6-8d08-dfd0e660f2c1
Channel-State duality with centers Corner symmetry and quantum geometry
Reference 21
- Resolution
- verified exact
- arxiv_id, observed 2026-05-24T01:45:55.596038Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation 7c6199dd-a88b-43d8-9674-f9ffe7af5b2d
Channel-State duality with centers Loop Quantum Gravity and Quantum Information
Reference 22
- Resolution
- verified exact
- arxiv_id, observed 2026-05-24T01:45:55.613897Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation cf48a5f3-ea0c-47fc-84a7-96fce3a0b5aa
Channel-State duality with centers Unresolved cited work
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.041432Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation 8e04e939-a9b3-461f-acef-ac5010dab5fb
Channel-State duality with centers Unresolved cited work
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.033451Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation 766e0a10-cf34-4377-8fcb-057499a8f81d
Channel-State duality with centers Comments on Defining Entanglement Entropy, September
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.066194Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation 6611cf59-b1cc-45e2-bc2a-cd6f0bbdb7ad
Channel-State duality with centers Comments on Defining Entanglement Entropy
Reference 26
- Resolution
- verified exact
- local_arxiv, observed 2026-05-24T01:45:55.627769Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation e346e2dc-1a6d-4e99-8a98-c16daaebd89c
Channel-State duality with centers Quantum gravity at the corner
Reference 27
- Resolution
- verified exact
- local_arxiv, observed 2026-05-24T01:45:55.619283Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation cb94c832-0274-4a1e-b617-eabcbc809b2f
Channel-State duality with centers The Theory of Quantum Information
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.054147Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation a6cb2380-316e-478f-ab19-4b5f0f6e3e9a
Channel-State duality with centers Entanglement with Centers
Reference 29
- Resolution
- verified exact
- local_arxiv, observed 2026-05-24T01:45:55.584944Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation 233935db-7879-46f0-b22b-d66c86b897d8
Channel-State duality with centers Virtual Quantum Subsystems
Reference 30
- Resolution
- verified exact
- arxiv_id, observed 2026-05-24T01:45:55.633712Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation 50cd8a4f-b082-462b-ab6c-89a7f48e4830
Channel-State duality with centers Entanglement measures and their properties in quantum field theory
Reference 31
- Resolution
- verified exact
- arxiv_id, observed 2026-05-24T01:45:55.561253Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation 2e8409d1-fa74-49f7-9511-3819e21811f3
Channel-State duality with centers Unresolved cited work
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.050088Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation 66e42d0b-6937-4d4f-a84d-96cccc187618
Channel-State duality with centers Unresolved cited work
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.073716Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation 95bd93aa-f17e-4b84-bea7-7adb5c790815
Channel-State duality with centers Unresolved cited work
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.062172Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation 8fa14202-77e4-4dc8-b2fc-3bec932b8f46
Channel-State duality with centers Remarks on entanglement entropy for gauge fields
Reference 35
- Resolution
- verified exact
- local_arxiv, observed 2026-05-24T01:45:55.594032Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation a43c207f-01a6-4764-8913-bc495674e641
Channel-State duality with centers Typical entanglement entropy in the presence of a center: Page curve and its variance
Reference 36
- Resolution
- verified exact
- arxiv_id, observed 2026-05-24T01:45:55.590213Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation 16ae23b8-6bc5-4282-93d9-4c74042540de
Channel-State duality with centers Unresolved cited work
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.084733Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation 4d9ea9d0-8e9a-4bd2-96b9-575f08cd5b0a
Channel-State duality with centers Unresolved cited work
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.057939Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation e033d647-39b3-47d3-ad8e-dad00b21a153
Channel-State duality with centers The structure of Renyi entropic inequalities
Reference 39
- Resolution
- verified exact
- local_arxiv, observed 2026-05-24T01:45:55.572922Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation 32a54f1c-7b96-496f-9b3a-5b7c3530829d
Channel-State duality with centers These have a known expres- sion and satisfy nice properties as an analogue of the von Neumann mutual information
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.070271Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation 2ff33b6d-6aab-49d3-9288-7fcb5401287b
Channel-State duality with centers Channel-state duality and the separability problem
Reference 41
- Resolution
- verified exact
- arxiv_id, observed 2026-05-24T01:45:55.601464Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation dc390880-212c-433a-a70d-7a49834a60c6
Channel-State duality with centers Average entropy of a subsystem
Reference 42
- Resolution
- verified exact
- arxiv_id, observed 2026-05-24T01:45:55.607680Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation 8e3aa349-8b60-4c36-9b61-aa8034fb4295
Channel-State duality with centers Unresolved cited work
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.045607Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation 877dc04e-0acc-40af-93f2-61df8d4f7955
Channel-State duality with centers Unresolved cited work
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.077706Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation e61d6874-34a7-4574-b797-7c82ccaeba1e
Channel-State duality with centers On trace class operators (and Hilbert- Schmidt operators)
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:45:56.088442Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Observation a4a58619-a0a9-43d8-a387-838c44ba15cd
Channel-State duality with centers Computable R\'enyi mutual information: Area laws and correlations
Reference 46
- Resolution
- verified exact
- arxiv_id, observed 2026-05-24T01:45:55.580055Z
Standing notice
No event found in the named queried sources as of 2026-07-11T06:31:22.384518+00:00.
Pith citing papers
No inbound Pith citation observations are available.