Paper Citation Record · LEDGER

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices

As of 17 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2504.13232.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2504.13232 v2

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:23:14.638909Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

32 of 32 outbound references displayed

verified exact1
verified fuzzy23
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 53bf49a0-52c4-48de-94e8-63caff2d963c · outbound

This paper cites A logical calculus of the ideas immanent in nervous activity,.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices A logical calculus of the ideas immanent in nervous activity,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:23:15.184860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e9880cc7-ffb3-4f9b-a48b-145b312a95a4 · outbound

This paper cites Adaptive switching circuits,.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices Adaptive switching circuits,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:23:15.168867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3b785c61-b530-41f8-ae77-fc76f4ed3057 · outbound

This paper cites Reliable, trainable networks for comput- ing and control,.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices Reliable, trainable networks for comput- ing and control,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:23:15.148461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a5012a14-9247-4c98-b27f-63f65b523454 · outbound

This paper cites an unresolved cited work.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:23:15.131915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation bd95b070-6f6b-4ad0-99b4-e131c7749142 · outbound

This paper cites From the quantum Moore’s law toward silicon based universal quantum computing,.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices From the quantum Moore’s law toward silicon based universal quantum computing,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:23:15.116030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 93114e27-b497-4799-aca8-0e081fb26d69 · outbound

This paper cites Simulating physics with computers,.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices Simulating physics with computers,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:23:15.097721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 08fb165e-6395-47b0-a934-dd4723bee54c · outbound

This paper cites A novel approach to nonlinear/non-Gaussian Bayesian state estimation,.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices A novel approach to nonlinear/non-Gaussian Bayesian state estimation,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:23:15.080169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 701561e8-abe0-441c-81f5-d4e1fb2ef31c · outbound

This paper cites On sequential Monte Carlo sampling methods for Bayesian filtering,.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices On sequential Monte Carlo sampling methods for Bayesian filtering,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:23:15.064561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 47354727-9250-4311-94f8-82d04878bfe7 · outbound

This paper cites Quantum signal processing,.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices Quantum signal processing,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:23:15.049205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3acd7057-95ae-4537-8a71-7d24a44a1e70 · outbound

This paper cites An introduction to quantum filtering,.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices An introduction to quantum filtering,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:23:15.033537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation dc1513e9-631e-4002-8e14-9582311ab347 · outbound

This paper cites Quantum computing through the lens of control: A tutorial introduction,.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices Quantum computing through the lens of control: A tutorial introduction,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:23:15.016136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f7102378-be3f-4593-b9f3-bb893fa8fd3d · outbound

This paper cites Quantum machine learning,.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices Quantum machine learning,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:23:14.996328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ab1d2826-57e7-4368-9bda-d093cd624545 · outbound

This paper cites On quantum methods for machine learning problems part I: Quantum tools,.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices On quantum methods for machine learning problems part I: Quantum tools,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:23:14.981854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e2b3b027-0565-4398-8eca-a2114fbc1eb9 · outbound

This paper cites On quantum methods for machine learning problems part II: Quantum classification algorithms,.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices On quantum methods for machine learning problems part II: Quantum classification algorithms,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:23:14.967047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation cd175921-ecda-42bc-bac0-1aeb1340ebbb · outbound

This paper cites Training deep quantum neural net- works,.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices Training deep quantum neural net- works,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:23:14.951660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5c5e27b3-e74f-436d-b5d4-ea5015c94b84 · outbound

This paper cites an unresolved cited work.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:23:14.936717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6f387f56-152a-45e4-aef4-4c482595fa1a · outbound

This paper cites Quantum Computing: Lecture Notes.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices Quantum Computing: Lecture Notes

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-16T12:23:14.569262Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc133081-cfab-462e-b47b-b429fafa67bd · outbound

This paper cites A Universal Training Algorithm for Quantum Deep Learning.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices A Universal Training Algorithm for Quantum Deep Learning

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-16T12:23:14.573977Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e95b3ce-5afe-462f-8436-5238e46ed3e4 · outbound

This paper cites A Framework for Approximating Qubit Unitaries.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices A Framework for Approximating Qubit Unitaries

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-16T12:23:14.578701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e484f5d3-071d-4bbd-8fa3-8c56df87c90c · outbound

This paper cites A framework for exact synthesis.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices A framework for exact synthesis

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-16T12:23:14.583493Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00988ae9-5c11-4730-9782-bb0b7213bee3 · outbound

This paper cites The HR-Calculus: Enabling Information Processing with Quaternion Algebra.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices The HR-Calculus: Enabling Information Processing with Quaternion Algebra

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-16T12:23:14.699663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5d0c8eca-b78f-40c8-8f9d-da0010062078 · outbound

This paper cites Geometric alge- bra quantum convolutional neural network: A model using geometric (Clifford) algebras and quantum computing,.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices Geometric alge- bra quantum convolutional neural network: A model using geometric (Clifford) algebras and quantum computing,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:23:14.921592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9546d610-ecbe-47ac-8c80-922eacedfb28 · outbound

This paper cites Quaternion-based arithmetic in quantum information processing: A promising approach for efficient color quantum imaging,.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices Quaternion-based arithmetic in quantum information processing: A promising approach for efficient color quantum imaging,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:23:14.906487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 36583f95-132c-4a59-9269-06c54ed22e37 · outbound

This paper cites Quaternion involutions and anti- involutions,.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices Quaternion involutions and anti- involutions,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:23:14.890764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f4ecff16-8272-41b8-bd09-0eba010759d4 · outbound

This paper cites A quaternion gradient operator and its applications,.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices A quaternion gradient operator and its applications,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:23:14.875046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9f5e13c9-c05d-4c90-a84d-602c1eff1434 · outbound

This paper cites Augmented statistics of quaternion random variables: A lynchpin of quaternion learning machines,.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices Augmented statistics of quaternion random variables: A lynchpin of quaternion learning machines,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:23:14.858779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e9eb504f-55ac-4a56-a9bf-b13f4916fa34 · outbound

This paper cites Adaptive filtering algorithms for quaternion-valued sig- nals,.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices Adaptive filtering algorithms for quaternion-valued sig- nals,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:23:14.842087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 829b2f5a-6ea6-4f35-8b80-a1f00ea095ab · outbound

This paper cites an unresolved cited work.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:23:14.826777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9052f4e8-2704-4024-9791-9dcf1cbefcc4 · outbound

This paper cites A quaternion frequency estimator for three-phase power systems,.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices A quaternion frequency estimator for three-phase power systems,

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:23:14.810946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 14aa09e5-294d-4b11-bf90-bb250c27c1a4 · outbound

This paper cites Generalized Variational Inference: Three arguments for deriving new Posteriors.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices Generalized Variational Inference: Three arguments for deriving new Posteriors

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-16T12:23:14.629726Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77fca3d2-0b5d-466b-a624-99f4b2a7abf6 · outbound

This paper cites Probability distribution function map- ping method,.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices Probability distribution function map- ping method,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:23:14.794926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 97617b53-8129-4a7e-b1c5-3b2480ed21d6 · outbound

This paper cites Quaternion-valued dis- tributed filtering and control,.

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices Quaternion-valued dis- tributed filtering and control,

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:23:14.779777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

No inbound Pith citation observations are available.