Many-Sorted Algebras for Deep Learning and Quantum Technology

Introduction to quantum many-sorted algebra
Basics of deep learning
Basic algebras underlying quantum and neural net
Quantum Hilbert spaces and their creation
Quantum and machine learning applications involving matrices
Quantum annealing and adiabatic quantum computing
Operators on Hilbert space
Spaces and algebras for quantum operators
Von Neumann algebra
Fiber bundles
Lie algebras and Lie groups
Fundamental and universal covering groups
Spectra for operators
Canonical commutation relations
Fock space
Underlying theory for quantum computing
Quantum computing applications
Machine learning and data mining
Reproducing kernel and other Hilbert spaces

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• Álgebra
• Aprendizagem mecânica
• Ciência da Computação
• Geometria algébrica
• Topologia algébrica

Banach Algebra; Convolutional Neural Networks; Quantum Computing; Deep Learning; Many-Sorted Algebras; Bosonic; Fermionic Fock Spaces; Fundamental Group; Universal Covering Group; Elliptic Curve Cryptography