RECORD
Superpositional Quantum Network Topologies
Neurons and Cognition · Submitted 12 Nov 2003
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim As a result, not only classical transition functions, but also topology becomes a subject of training.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
We introduce superposition-based quantum networks composed of (i) the classical perceptron model of multilayered, feedforward neural networks and (ii) the algebraic model of evolving reticular quantum structures as described in quantum gravity. The main feature of this model is moving from particular neural topologies to a quantum metastructure which embodies many differing topological patterns. Using quantum parallelism, training is possible on superpositions of different network topologies. As a result, not only classical transition functions, but also topology becomes a subject of training. The main feature of our model is that particular neural networks, with different topologies, are quantum states. We consider high-dimensional dissipative quantum structures as candidates for implementation of the model.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We introduce superposition-based quantum networks composed of (i) the classical perceptron model of multilayered, feedforward neural networks and (ii) the algebraic model of evolving reticular quantum structures as described in quantum gravity. | contribution 0.96 | 0.75 | 0.08 | asserted 0.99 |
| s1 | The main feature of this model is moving from particular neural topologies to a quantum metastructure which embodies many differing topological patterns. | contribution 0.81 | 0.46 | 0.23 | asserted 1.00 |
| s2 | Using quantum parallelism, training is possible on superpositions of different network topologies. | method 0.84 | 0.34 | 0.11 | hedged possibility 0.68 |
| s3 | As a result, not only classical transition functions, but also topology becomes a subject of training. | interpretation 0.38 | 0.51 | 0.21 | asserted 1.00 |
| s4 | The main feature of our model is that particular neural networks, with different topologies, are quantum states. | contribution 0.76 | 0.50 | 0.26 | asserted 1.00 |
| s5 | We consider high-dimensional dissipative quantum structures as candidates for implementation of the model. | future work 0.43 | 0.27 | 0.06 | hedged possibility 0.84 |
What was examined, and what was not
- arXiv listing abstract v3
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
We introduce superposition-based quantum networks composed of (i) the classical perceptron model of multilayered, feedforward neural networks and (ii) the algebraic model of evolving reticular quantum structures as described in quantum gravity. The main feature of this model is moving from particular neural topologies to a quantum metastructure which embodies many differing topological patterns. Using quantum parallelism, training is possible on superpositions of different network topologies. As a result, not only classical transition functions, but also topology becomes a subject of training. The main feature of our model is that particular neural networks, with different topologies, are quantum states. We consider high-dimensional dissipative quantum structures as candidates for implementation of the model.
Human review
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.