Paper Citation Record · LEDGER

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks

As of 19 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2509.05924.

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

pith.paper-citation-record.v1
2509.05924 v1

Coverage vector

measured 39 of 39 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-05T04:54:04.963217Z

measured 39 of 39 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

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Reference resolution

39 of 39 outbound references displayed

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Outbound references

Observation 54c6d01a-6ac6-48fb-8c38-d9b072fd550b · outbound

This paper cites Quantum entanglement.Reviews of modern physics, 81(2):865–942, 2009.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Quantum entanglement.Reviews of modern physics, 81(2):865–942, 2009

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:54:05.580849Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bf235bef-ed3f-4af1-812c-dcdd34629c97 · outbound

This paper cites Cambridge university press, 2010.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Cambridge university press, 2010

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-05T04:54:04.764115Z

Source-reported events for the cited work

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Observation 1edec331-6656-4afc-bc41-692eba5370b9 · outbound

This paper cites Classical complexity and quantum entanglement.Journal of Computer and System Sciences, 69(3):448–484, 2004.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Classical complexity and quantum entanglement.Journal of Computer and System Sciences, 69(3):448–484, 2004

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:54:05.554675Z

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Observation 64c09470-bfb7-419c-b773-8342d192bd1d · outbound

This paper cites Separability criterion for density matrices.Physical Review Letters, 77(8):1413, 1996.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Separability criterion for density matrices.Physical Review Letters, 77(8):1413, 1996

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:54:05.539694Z

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Observation 0c2d1ce7-7989-4a63-8cde-1684c67bc1ce · outbound

This paper cites Bell inequalities and the separability criterion.Physics Letters A, 271(5-6):319–326, 2000.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Bell inequalities and the separability criterion.Physics Letters A, 271(5-6):319–326, 2000

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:54:05.524723Z

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Observation 16606026-6d8c-4e4f-bdda-711c9256359e · outbound

This paper cites Nonlinear power-like and svd-like iterative schemes with applications to entangled bipartite rank-1 approximation.SIAM Journal on Scientific Computing, 43(5):S448–S474, 2021.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Nonlinear power-like and svd-like iterative schemes with applications to entangled bipartite rank-1 approximation.SIAM Journal on Scientific Computing, 43(5):S448–S474, 2021

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:54:05.509653Z

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Observation f06b352c-9e95-4eaa-8e61-970cc0560ab8 · outbound

This paper cites Supervised learning with quantum computers.Quantum science and technology, 17, 2018.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Supervised learning with quantum computers.Quantum science and technology, 17, 2018

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:54:05.493846Z

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Observation c58d7743-08d8-4c03-a212-478f311c05be · outbound

This paper cites Springer, 2021.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Springer, 2021

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-05T04:54:04.795835Z

Source-reported events for the cited work

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Observation bd5eaf81-f1b0-48da-b974-042d7b17189f · outbound

This paper cites Artificial intelligence computing at the quantum level.Data, 7(3):28, 2022.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Artificial intelligence computing at the quantum level.Data, 7(3):28, 2022

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:54:05.465567Z

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Observation b643d906-2983-404b-ad0e-51414ac819da · outbound

This paper cites Robust online hamiltonian learning.New Journal of Physics, 14(10):103013, 2012.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Robust online hamiltonian learning.New Journal of Physics, 14(10):103013, 2012

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:54:05.449250Z

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Observation b9d60900-e6f5-4475-b5dc-943fdcef5703 · outbound

This paper cites Separability-entanglement classifier via machine learning.Physical Review A, 98(1):012315, 2018.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Separability-entanglement classifier via machine learning.Physical Review A, 98(1):012315, 2018

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:54:05.434346Z

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Observation f451714a-925d-4e96-ae6f-5ad584805266 · outbound

This paper cites Entanglement verification with deep semisupervised machine learning.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Entanglement verification with deep semisupervised machine learning

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:54:05.419538Z

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Observation 7cc7023c-e656-4832-9f04-8db8d8de82ec · outbound

This paper cites Optimal entanglement witness of multipartite systems using support vector machine approach.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Optimal entanglement witness of multipartite systems using support vector machine approach

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-05T04:54:04.822301Z

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Observation 86fd2c72-5b26-483f-8354-d561bf8a5209 · outbound

This paper cites Quantum machine learning.Nature, 549(7671):195–202, 2017.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Quantum machine learning.Nature, 549(7671):195–202, 2017

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-05T04:54:04.827091Z

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Observation ea04d108-c18b-4a07-bb1c-1ce37a17a7fa · outbound

This paper cites Quantum information with continuous variables.Reviews of modern physics, 77(2):513–577, 2005.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Quantum information with continuous variables.Reviews of modern physics, 77(2):513–577, 2005

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:54:05.394044Z

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Observation a234aac9-0c31-4216-8e99-c989af01e1fa · outbound

This paper cites Gaussian quantum information.Reviews of Modern Physics, 84(2):621–669, 2012.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Gaussian quantum information.Reviews of Modern Physics, 84(2):621–669, 2012

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:54:05.378584Z

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Observation f1e4fad4-cbeb-44ed-bac5-2cc9dff0f82d · outbound

This paper cites Experimentally realizable continuous-variable quantum neural networks.Physical Review A, 108(4):042414, 2023.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Experimentally realizable continuous-variable quantum neural networks.Physical Review A, 108(4):042414, 2023

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:54:05.363966Z

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Observation c4880c87-6781-4bfe-a7f5-7961e7380e32 · outbound

This paper cites Continuous- variable quantum neural networks.Physical Review Research, 1(3):033063, 2019.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Continuous- variable quantum neural networks.Physical Review Research, 1(3):033063, 2019

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:54:05.348781Z

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Observation 2631c942-15aa-4ee0-88fa-dffde0647b00 · outbound

This paper cites Quantum computation over continuous variables.Physical Review Letters, 82(8):1784, 1999.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Quantum computation over continuous variables.Physical Review Letters, 82(8):1784, 1999

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:54:05.332109Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fd88fd49-ff17-4283-a615-b0732e17bf2c · outbound

This paper cites Optimal design for universal multiport interferometers.Optica, 3(12):1460–1465, 2016.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Optimal design for universal multiport interferometers.Optica, 3(12):1460–1465, 2016

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:54:05.316439Z

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Observation ab935f86-88ad-4d54-bcff-49e02b7e1819 · outbound

This paper cites Springer Science & Business Media, 2004.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Springer Science & Business Media, 2004

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-05T04:54:04.867755Z

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Observation 503991d8-6001-41c7-8da6-231d6ba81237 · outbound

This paper cites Cambridge university press, 1997.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Cambridge university press, 1997

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:54:05.289624Z

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Observation 7d0b7987-b8e6-4882-a497-0863583e5ab8 · outbound

This paper cites Quantum circuit learning.Physical Review A, 98(3):032309, 2018.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Quantum circuit learning.Physical Review A, 98(3):032309, 2018

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-05T04:54:04.881239Z

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Observation bfe46944-efe1-4088-ba7e-ff40181f8090 · outbound

This paper cites Evaluating analytic gradients on quantum hardware.Physical Review A, 99(3):032331, 2019.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Evaluating analytic gradients on quantum hardware.Physical Review A, 99(3):032331, 2019

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:54:05.260890Z

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Observation 3b12e367-3171-4af5-99df-5f184a1b320a · outbound

This paper cites Classification with Quantum Neural Networks on Near Term Processors.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Classification with Quantum Neural Networks on Near Term Processors

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-05T04:54:04.890362Z

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Observation e89612c2-323b-4ac0-93ed-8dac9a9bc5e8 · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Adam: A Method for Stochastic Optimization

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-05T04:54:04.896096Z

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Observation bf1c61c9-a7fc-4e65-9dda-db19c5213661 · outbound

This paper cites Multilayer feedforward networks are universal approximators.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Multilayer feedforward networks are universal approximators

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-05T04:54:04.901769Z

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Observation e1b936f4-861d-4b00-a2bf-5f0b0e0dc073 · outbound

This paper cites Strawberry fields: A software platform for photonic quantum computing.Quantum, 3:129, 2019.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Strawberry fields: A software platform for photonic quantum computing.Quantum, 3:129, 2019

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:54:05.235038Z

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Observation 9c75565c-a2b8-4824-bf61-896897ec607e · outbound

This paper cites TensorFlow: Large-Scale Machine Learning on Heterogeneous Distributed Systems.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks TensorFlow: Large-Scale Machine Learning on Heterogeneous Distributed Systems

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-05T04:54:04.912468Z

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Observation a8d1fbd4-b2c3-4ac2-b7f1-44e5cc2c4d77 · outbound

This paper cites This means there is a one-to-one and continuous correspondence between quantum states inXand classical vectors inP.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks This means there is a one-to-one and continuous correspondence between quantum states inXand classical vectors inP

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:54:05.219537Z

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Observation dfc8c388-07ea-4868-89ff-755557cf54a2 · outbound

This paper cites In other words, the task of learning the quantum functional F is equivalent to learning the classical function ˜Fon the feature spaceP.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks In other words, the task of learning the quantum functional F is equivalent to learning the classical function ˜Fon the feature spaceP

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:54:05.204094Z

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Observation bbb49b20-5296-403b-bca6-5cc6e8c61f78 · outbound

This paper cites an unresolved cited work.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-05T04:54:05.189539Z

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Observation 12da2091-bbc0-4014-8181-2faa46b5c0dd · outbound

This paper cites The parameters of all gates (rotations, beamsplitters, squeezers, displacements, Kerr) were initialized randomly by sampling from a normal distributionN(0,0.1).

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks The parameters of all gates (rotations, beamsplitters, squeezers, displacements, Kerr) were initialized randomly by sampling from a normal distributionN(0,0.1)

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:54:05.175286Z

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Observation 1edc1e20-746a-409d-b446-35591f8b80c0 · outbound

This paper cites • Support Vector Machine (SVM):We used an SVM with a non-linear Radial Basis Function (RBF) kernel.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks • Support Vector Machine (SVM):We used an SVM with a non-linear Radial Basis Function (RBF) kernel

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:54:05.157647Z

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Observation 369fb18e-2449-4ea1-84fe-aa1029353caa · outbound

This paper cites To provide a reliable measure of the uncertainty in our performance metrics, we computed 95% confidence intervals (CIs) using the stratified bootstrap method.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks To provide a reliable measure of the uncertainty in our performance metrics, we computed 95% confidence intervals (CIs) using the **stratified bootstrap** method

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:54:05.139625Z

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Observation 228581b1-1450-4d25-af0a-cc4a87c6814a · outbound

This paper cites an unresolved cited work.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-05T04:54:05.122915Z

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Observation 2c127c1e-c0b3-4b45-bc8e-14d0adbf0ed9 · outbound

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Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-05T04:54:05.105588Z

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Observation 297fc4e3-eb1a-4728-bd84-3b62085db7f3 · outbound

This paper cites an unresolved cited work.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-05T04:54:05.089968Z

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Observation fdb6a824-1b06-46c9-8a64-683fb3474029 · outbound

This paper cites An observed performance gap between two models is considered statistically significant if their 95% CIs are non- overlapping.

Hybrid Quantum-Classical Learning of Nonlinear Entanglement Witnesses via Continuous-Variable Quantum Neural Networks An observed performance gap between two models is considered statistically significant if their 95% CIs are non- overlapping

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:54:05.073578Z

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