Paper Citation Record · LEDGER

Non-Linear Transformations of Quantum Amplitudes: Exponential Improvement, Generalization, and Applications

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 14 inbound Pith citation observations for arXiv:2309.09839.

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

pith.paper-citation-record.v1
2309.09839 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 14 of 14 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T05:03:48.260748Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T17:49:59.982369Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 688e9911-bd29-4d0a-8ecf-8d5f5ce2901f · inbound

QKAN: quantum Kolmogorov-Arnold networks with applications in machine learning and multivariate state preparation cites this paper.

QKAN: quantum Kolmogorov-Arnold networks with applications in machine learning and multivariate state preparation Non-Linear Transformations of Quantum Amplitudes: Exponential Improvement, Generalization, and Applications

Reference 72

Resolution: verified exact; arxiv_id, observed 2026-05-23T20:15:48.370599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5bcfb924-255d-4eb7-8333-8c19feb1f5aa · inbound

Simple Quantum Gradient Descent Without Coherent Oracle Access cites this paper.

Simple Quantum Gradient Descent Without Coherent Oracle Access Non-Linear Transformations of Quantum Amplitudes: Exponential Improvement, Generalization, and Applications

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-11T05:03:48.260748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d80bf11-1ec7-42bf-b6cb-fa08014fd55c · inbound

Quantum Machine Learning: A Hands-on Tutorial for Machine Learning Practitioners and Researchers cites this paper.

Quantum Machine Learning: A Hands-on Tutorial for Machine Learning Practitioners and Researchers Non-Linear Transformations of Quantum Amplitudes: Exponential Improvement, Generalization, and Applications

Reference 87

Resolution: unresolved; no resolver link, observed 2026-08-09T16:30:39.858104Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5e35f6e-3cae-4e2c-8938-8df80cb79cf7 · inbound

Quantum Algorithm for Estimating Intrinsic Geometry cites this paper.

Quantum Algorithm for Estimating Intrinsic Geometry Non-Linear Transformations of Quantum Amplitudes: Exponential Improvement, Generalization, and Applications

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-05T22:53:54.893262Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c3d4924-dbab-434f-962a-1239fb01afb3 · inbound

Accelerating Inference for Multilayer Neural Networks with Quantum Computers cites this paper.

Accelerating Inference for Multilayer Neural Networks with Quantum Computers Non-Linear Transformations of Quantum Amplitudes: Exponential Improvement, Generalization, and Applications

Reference 67

Resolution: verified exact; arxiv_id, observed 2026-05-21T21:00:38.241828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c1ac827d-1e20-4ae5-a2e6-a25cfd55721c · inbound

Spectral methods: crucial for machine learning, natural for quantum computers? cites this paper.

Spectral methods: crucial for machine learning, natural for quantum computers? Non-Linear Transformations of Quantum Amplitudes: Exponential Improvement, Generalization, and Applications

Reference 59

Resolution: verified exact; arxiv_id, observed 2026-05-15T00:23:22.343728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a1f692e8-f598-488e-9df9-5e95b63f2d5c · inbound

Efficient Quantum Algorithms for Higher-Order Coupled Oscillators cites this paper.

Efficient Quantum Algorithms for Higher-Order Coupled Oscillators Non-Linear Transformations of Quantum Amplitudes: Exponential Improvement, Generalization, and Applications

Reference 86

Resolution: verified exact; arxiv_id, observed 2026-05-10T01:10:09.193665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a3c62dd2-ba3d-4599-a3f2-fbd858fafc36 · inbound

Quantum analog-encoding for correlated Gaussian vectors and their exponentiation with application to rough volatility cites this paper.

Quantum analog-encoding for correlated Gaussian vectors and their exponentiation with application to rough volatility Non-Linear Transformations of Quantum Amplitudes: Exponential Improvement, Generalization, and Applications

Reference 41

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T19:26:09.880013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bee0aa02-f42d-4134-9f3f-09249b2086af · inbound

Quantum analog-encoding for correlated Gaussian vectors and their exponentiation with application to rough volatility cites this paper.

Reference 41

Resolution: metadata mismatch; arxiv_id, observed 2026-07-04T17:49:59.984044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 20b9f4da-a6af-42a6-bd33-68331d77a062 · inbound

Unitaria: Quantum Linear Algebra via Block Encodings cites this paper.

Unitaria: Quantum Linear Algebra via Block Encodings Non-Linear Transformations of Quantum Amplitudes: Exponential Improvement, Generalization, and Applications

Reference 3

Resolution: metadata mismatch; arxiv_id, observed 2026-05-12T05:56:33.977454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b312d607-9745-4765-a6ff-d06d46306366 · inbound

A Variational Quantum Algorithm for Nonlinear Finite Element Analysis of Hyperelastic Materials cites this paper.

A Variational Quantum Algorithm for Nonlinear Finite Element Analysis of Hyperelastic Materials Non-Linear Transformations of Quantum Amplitudes: Exponential Improvement, Generalization, and Applications

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-06-29T11:13:20.565118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2c9f6831-3b35-42b5-aa70-ecdda090d78e · inbound

Analog photonic simulator for large-scale transport cites this paper.

Analog photonic simulator for large-scale transport Non-Linear Transformations of Quantum Amplitudes: Exponential Improvement, Generalization, and Applications

Reference 42

Resolution: metadata mismatch; arxiv_id, observed 2026-06-28T18:52:30.679020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 71ee9747-fb38-4040-85a7-f7131b794b2c · inbound

Quantum enhanced rare event discovery and sampling cites this paper.

Quantum enhanced rare event discovery and sampling Non-Linear Transformations of Quantum Amplitudes: Exponential Improvement, Generalization, and Applications

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-07-02T13:36:59.032048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation da08e7f1-8667-4d08-b0d5-8672a60c12e8 · inbound

Schr\"odingerization based quantum algorithms for regularized Wasserstein proximal operators cites this paper.

Schr\"odingerization based quantum algorithms for regularized Wasserstein proximal operators Non-Linear Transformations of Quantum Amplitudes: Exponential Improvement, Generalization, and Applications

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-06-30T09:24:32.670381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.