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Learning Algebraic Models of Quantum Entanglement

Machine Learning 2020-12-29 v2 Emerging Technologies Algebraic Geometry Quantum Physics Machine Learning

Abstract

We review supervised learning and deep neural network design for learning membership on algebraic varieties. We demonstrate that these trained artificial neural networks can predict the entanglement type for quantum states. We give examples for detecting degenerate states, as well as border rank classification for up to 5 binary qubits and 3 qutrits (ternary qubits).

Keywords

Cite

@article{arxiv.1908.10247,
  title  = {Learning Algebraic Models of Quantum Entanglement},
  author = {Hamza Jaffali and Luke Oeding},
  journal= {arXiv preprint arXiv:1908.10247},
  year   = {2020}
}

Comments

22 pages. comments welcome

R2 v1 2026-06-23T10:58:03.235Z