Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-24T11:29:07.697885Z
Paper Citation Record · LEDGER
As of 6 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 3 inbound Pith citation observations for arXiv:2207.09180.
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 2026-05-24T11:29:07.697885Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-04T11:57:45.271736Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-05T02:28:24.338817Z
58 of 58 outbound references displayed
External citation measurements
1
pith, observed 2026-08-05T02:28:24.338817Z
Observation bbf073f3-ef14-4808-9709-88fec2de5450 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Quantum Circuits Architecture
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 67215530-af9f-4156-92e4-004fcff0823a · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Transforming quantum operations: quantum supermaps
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 1a135aa5-be79-4425-a4be-1e2eb1f792c6 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Normal completely positive maps on the space of quantum operations
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation bf3b5808-db7f-46ef-b278-82aadce81b63 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Theoretical framework for quantum networks
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 844066d8-4367-47ea-8814-a44f0194a228 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Quantum correlations with no causal order
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 911998e9-63d4-47a1-bbaa-56bf2d3f91fa · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Categories of Optics
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation de7cd917-d468-4e42-b14d-eb06bcb5e364 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension String Diagrams for Optics
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 60a121cd-6df6-4572-815a-205bb2729e7f · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Cornering Optics
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 618ef4e8-fba0-4585-9977-e9fc0d55070e · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Coherence for lenses and open games
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation c2d622e2-2838-4be7-a66f-e56eb1af0c03 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension The game semantics of game theory
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 85c72dce-a732-45a8-9c12-fde54e19f89c · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Bayesian open games
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation b3d8aa33-671a-48b1-ae79-3ede94b8a39b · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Compositional game theory
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation dcdecb6c-4761-4024-8e1c-805062181cef · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Categorical Foundations of Gradient-Based Learning
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 317cedfe-7cbd-4321-8f79-2b11fc0530a6 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Automatic Backward Filtering Forward Guiding for Markov processes and graphical models
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 1e1521e8-ac21-4692-8f07-cb358c613da9 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Escrows are optics
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 99640874-26a4-49a9-8085-af89b1ee39db · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Comb Diagrams for Discrete-Time Feedback
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 0669a011-7871-4635-9ca6-2c11153fd05b · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Open Diagrams via Coend Calculus
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 19ce6de6-b4c7-43d2-be9d-2eeeea56325d · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Coend Optics for Quantum Combs
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 16230d11-9ba7-46c9-a4bb-442222347fad · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Quantum computations without definite causal structure
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 4a2d9f75-df9d-401f-a68a-edb8089311ca · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Probabilistic theories with purification
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 6d23b6e1-3065-4926-99c1-1563c677e37a · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Quantum from principles
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 03343874-268a-4284-afd6-87b8ad006a50 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Indefinite causal structures for continuous-variable systems
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation c098b641-d241-4432-984c-2d488d812c1c · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Quantum Supermaps are Characterized by Locality
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 4eca9dff-6a0c-4292-903c-b7b676c22be3 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Quantum Field Theory in Categorical Quantum Mechanics
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation caf71260-f0e3-4a19-902c-0539a6e57b98 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Towards Quantum Field Theory in Categorical Quantum Mechanics
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 3c942fcf-2ad5-438e-acb3-9c455b934f79 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension A categorical semantics for causal structure
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 8c92c611-dc7e-4dc7-88f5-fc119088a135 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Theoretical framework for Higher-Order Quantum Theory
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation f6121546-2eb4-4f9d-9654-a2e06c49bdc9 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Higher-order causal theories are models of BV-logic
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 10c9e09b-2851-4773-85bd-1011e3cd1312 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension No-signalling constrains quantum computation with indefinite causal structure
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 405ce240-b3ce-41e5-b87b-a1a84c99414f · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Towards Quantum Gravity: A Framework for Probabilistic Theories with Non-Fixed Causal Structure
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation bd1e117b-1dd9-4f11-83e8-d97283f58447 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension 19 Alan Lawrence McCann
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 99fc8044-6689-4408-b688-24e8b8faa2a3 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Polycategories
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 308c9315-4252-4596-8bfb-f52d39b857f7 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension A Process-Theoretic Church of the Larger Hilbert Space
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 211baf00-c820-4aa7-b5a6-1c866434ff19 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Causal structures and the classification of higher order quantum computations
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation dfe2c18a-b531-4975-add5-1029800a9342 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Coecke and A
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 41f1b505-812d-438b-bda6-4a608905bbb6 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Quantum Picturalism
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation dbc4599e-f811-49ca-ad48-ec65cd67d1ba · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Kindergarten quantum mechanics: Lecture notes
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 707ed83a-d845-4132-baac-9ebaff5a0832 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension From Classical to Quantum Shannon Theory
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation fd318d5c-b550-41cd-a5a7-4c89c6d1ef2f · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Completely positive linear maps on complex matrices
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 3e134357-e8f3-4f6a-ad39-c9cd20a11eb4 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension A Mathematical Framework for Transformations of Physical Processes
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation b3c96b59-1aa1-4450-ba92-77fb5657ff67 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Semicausal operations are semilocalizable
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation fb416db8-5153-427e-883a-2308cc2af6a4 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Enhanced Communication with the Assistance of Indefinite Causal Order
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation de2e0c37-fc05-4b90-89df-47b50b3d629c · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Quantum circuits cannot control unknown operations
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation bf296ac7-edae-4499-9d52-4a3fc6f75c1c · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Perfect discrimination of no-signalling channels via quantum superposition of causal structures
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 2b62bd10-27cc-417a-976b-6b49e15acf42 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Quantum communication in a superposition of causal orders
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 4aec0acd-51eb-47d0-ad18-43168aaa1ff1 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Indefinite causal order enables perfect quantum communication with zero capacity channels
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation d2419e39-f868-4078-80ad-e9a080e9276d · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension A Diagrammatic Approach to Information Transmission in Generalised Switches
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 597b0b46-8ab6-4fb5-b6b1-a1f2fb7c3f33 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Quantum and Classical Data Transmission Through Completely Depolarising Channels in a Superposition of Cyclic Orders
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 4f7a0d7f-12e6-4479-8b2f-3ba3fec055da · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Quantum and Classical Data Transmission through Completely Depolarising Channels in a Superposition of Cyclic Orders
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation dd65fa35-9c92-4cc5-9a00-d2df0509e126 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Classical Communications with Indefinite Causal Order for $N$ completely depolarizing channels
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 77ab9b45-4fe3-441a-ab99-1be1bcdfbecd · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Consistent circuits for indefinite causal order
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation c8262fcc-8949-4663-a0a9-9095f068d717 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Causal and compositional structure of unitary transformations
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 71502086-5b8f-4f64-bc2c-ca9927643d33 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Composable constraints
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 1c159bca-0fcf-4785-8469-65148e42a1b1 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Causal Boxes: Quantum Information-Processing Systems Closed under Composition
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 6b8e2d5f-14f3-42ef-b848-d0c6d25f8f65 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Embedding cyclic information-theoretic structures in acyclic spacetimes: no-go results for indefinite causality
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation c6c25ee6-efed-427e-bf4c-8bb9d5188db0 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Higher Operads, Higher Categories
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation fcfca473-138b-4cac-914a-4f3e93bc4192 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension Lemma 10
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 03cd7c15-02d5-412f-9ce7-50bed798b0d3 · outbound
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension From now on we omit indices on natural transformations
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 1787a026-9a87-46d1-92ef-3616c4852322 · inbound
Towards the simulation of higher-order quantum resources: a general type-theoretic approach Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 86915a78-4bc3-43d3-b57e-1e7bfaa065ec · inbound
Supermaps on generalised theories Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension
Reference 74
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 1272c401-3ff5-48bf-b392-3cbc91e24031 · inbound
Supermaps on generalised theories Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension
Reference 69
Source-reported events for the cited work
Unavailable: canonical work link unavailable.