Learning algebraic models of quantum entanglement

DOI10.1007/s11128-020-02785-4OpenAlexW3080619168MaRDI QIDQ2681640

Luke Oeding, Hamza Jaffali

Publication date: 3 February 2023

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.10247

zbMATH Keywords

classificationneural networksquantum entanglementalgebraic varietiesmachine learning

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Learning and adaptive systems in artificial intelligence (68T05) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (1)

Quantum circuits generating four-qubit maximally entangled states

Uses Software

• SeDiMO
• Keras

Cites Work

• The quest for a quantum neural network
• Grover's algorithm and the secant varieties
• Constructive approximate interpolation by neural networks
• Polar representations
• Some remarks on nilpotent orbits
• Correction to: Approximation by superpositions of a sigmoidal function
• \(0(n^{2.7799})\) complexity for \(n\times n\) approximate matrix multiplication
• Curvature based sampling of curves and surfaces
• Learning algebraic varieties from samples
• Singularities of hyperdeterminants
• Interpolation functions of feedforward neural networks
• Hyperdeterminants from the \(E_8\) discriminant
• Quantum entanglement involved in Grover's and Shor's algorithms: the four-qubit case
• Sampling points on regular parametric curves with control of their distribution
• On the Alexander-Hirschowitz theorem
• Geometric descriptions of entangled states by auxiliary varieties
• Entanglement of four-qubit systems: A geometric atlas with polynomial compass II (the tame world)
• Three-qutrit entanglement and simple singularities
• Algebraic invariants of five qubits
• Secant Dimensions of Minimal Orbits: Computations and Conjectures
• The hyperdeterminant and triangulations of the 4-cube
• Induction for secant varieties of Segre varieties
• Reconciling modern machine-learning practice and the classical bias–variance trade-off
• An Algorithm For Generic and Low-Rank Specific Identifiability of Complex Tensors
• All maximally entangled four-qubit states
• Four Lectures on Secant Varieties
• Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem
• Geometry and Complexity Theory
• Singularity of typeD₄arising from four-qubit systems
• Entanglement of four qubit systems: A geometric atlas with polynomial compass I (the finite world)
• ENTANGLEMENT MONOTONES AND MAXIMALLY ENTANGLED STATES IN MULTIPARTITE QUBIT SYSTEMS
• A Theory of Adaptive Pattern Classifiers
• A logical calculus of the ideas immanent in nervous activity
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