Many-Sorted Algebras for Deep Learning and Quantum Technology

ISBN-13: 9780443136979 / Miękka / 2024 / 350 str.

USA) Giardina CA Charles R. (Lucent Technologies

Spis treści

1. Introduction to a quantum many sorted algebra 2. Basics of deep learning 3. Basic algebras underlying quantum and NN 4. Quantum Hilbert spaces and their creation 5. Quantum and machine learning applications involving matrices 6. Quantum annealing and adiabatic quantum computing 7. Operators on Hilbert space 8. Spaces and algebras for quantum operations 9. Von-Neumann algebra 10. Fiber bundles 11. Lie algebras and lie groups 12. Fundamental and universal covering group 13. Spectra for operators 14. Canonicle commutational relations CCR 15. Fock space 16. Underlying theory for quantum computing 17. Quantum computing applications 18. Machine learning and data mining 19. Reproducing kernel and other Hilbert spacesAppendices