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April 20, 2026, 2:12 p.m.
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NOTE
SOURCE: Chapline G. Quantum Mechanics And Bayesian Machines 2023
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COVER
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MEDIAINFO
Textbook in PDF format
This compendium brings together the fields of Quantum Computing, Machine Learning, and Neuromorphic Computing. It provides an elementary introduction for students and researchers interested in quantum or neuromorphic computing to the basics of machine learning and the possibilities for using quantum devices for pattern recognition and Bayesian decision tree problems. The volume also highlights some possibly new insights into the meaning of quantum mechanics, for example, why a description of Nature requires probabilistic rather than deterministic methods.
Preface
About the Author
Acknowledgments
Introduction
Six Fundamental Discoveries
Bayes’s Probability Formula
The Wiener and Kalman–Bucy Filters
Bellman’s Dynamic Programming Approach to Optimal Control
Feynman’s Path Integral Approach to Quantum Mechanics
Quantum Solution of the Traveling Salesman Problem (TSP)
Ockham’s Razor
Bayesian Searches
A Tale of Two Costs
Hidden Factors and the Helmholtz Machine
Control Theory
The Hamilton–Jacobi–Bellman Equation
Pontryagin Maximum Principle
The Moon Lander problem
Lie–Poisson Dynamics
Rigid body attitude control
H∞ Control
Integrable Systems
RH Solution of the Airy Equation
The KdV Equation
Segal–Wilson Construction
The NLS Equation
Galois Remembered
Quantum Tools
Weyl Remembered
Helstrom’s Theorem and Universal Hilbert Spaces
Measurement-based Quantum Computation
Quantum Self-organization
Pontryagin Control and Quantum Criticality
Quantum Theory of Innovations
Quantum Helmholtz Machine
Ad Mammalian Intelligence
Holistic Computing
Quantum Mechanics and 3D Geometry
Cognitive Science and Quantum Physics
Appendices
Gaussian Processes
Wiener–Hopf Methods
Cauchy–Riemann equations
N/D factorization
The Gelfand–Levitan–Marčenko (GLM) equation
The Riemann–Hilbert problem
Inverse scattering transform
Wave propagation with flexible boundaries
Adaptive optics
Riemann Surfaces
The Eightfold Way
Quantum Theory of Brownian Motion
Quantum dynamics a la Feynman–Vernon Keldysh
Stochastic influence functions
References
Index
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