Quantum Neural Computation is a graduate-level monographic textbook. It presents a comprehensive introduction, both non-technical and technical, into modern quantum neural computation, the science behind the fiction movie Stealth. Classical computing systems perform classical computations (i.e., Boolean operations, such as AND, OR, NOT gates) using devices that can be described classically (e.g., MOSFETs). On the other hand, quantum computing systems perform classical computations using quantum devices (quantum dots), that is devices that can be described only using quantum mechanics. Any…mehr
Quantum Neural Computation is a graduate-level monographic textbook. It presents a comprehensive introduction, both non-technical and technical, into modern quantum neural computation, the science behind the fiction movie Stealth. Classical computing systems perform classical computations (i.e., Boolean operations, such as AND, OR, NOT gates) using devices that can be described classically (e.g., MOSFETs). On the other hand, quantum computing systems perform classical computations using quantum devices (quantum dots), that is devices that can be described only using quantum mechanics. Any information transfer between such computing systems involves a state measurement. This book describes this information transfer at the edge of classical and quantum chaos and turbulence, where mysterious quantum-mechanical linearity meets even more mysterious brain's nonlinear complexity, in order to perform a super-high-speed and error-free computations. This monograph describes a crossroadbetween quantum field theory, brain science and computational intelligence.
Produktdetails
Produktdetails
Intelligent Systems, Control and Automation: Science and Engineering 40
1 Introduction1.1 Neurodynamics1.2 Quantum Computation1.3 Discrete Quantum Computers1.4 Topological Quantum Computers1.5 Computation at the Edge of Chaos and Quantum Neural Networks1.6 Adaptive Path Integral: An 1-Dimensional QNN1.6.1 Computational Partition Function1.6.2 From Thermodynamics to Quantum Field Theory1.6.3 1-Dimensional QNNs1.7 Brain Topology vs. Small-World Topology1.8 Quantum Brain and Mind1.8.1 Connectionism, Control Theory and Brain Theory1.8.2 Neocortical Biophysics1.8.3 Quantum Neurodynamics1.8.4 Bi-Stable Perception and Consciousness1.9 Notational Conventions 2 Brain and Classical Neural Networks2.1 Human Brain2.1.1 Basics of Brain Physiology2.1.2 Modern 3D Brain Imaging2.2 Biological versus Artificial Neural Networks2.2.1 Common Discrete ANNs2.2.2 Common Continuous ANNs2.3 Synchronization in Neurodynamics2.3.1 Phase Synchronization in Coupled Chaotic Oscillators2.3.2 Oscillatory Phase Neurodynamics2.3.3 Kuramoto Synchronization Model2.3.4 Lyapunov Chaotic Synchronization2.4 Spike Neural Networks and Wavelet Resonance2.4.1 Ensemble Neuron Model2.4.2 Wavelet Neurodynamics2.4.3 Wavelets of Epileptic Spikes2.5 Human Motor Control and Learning2.5.1 Motor Control2.5.2 Human Memory2.5.3 Human Learning2.5.4 Spinal Musculo-Skeletal Control2.5.5 Cerebellum and Muscular Synergy 3 Quantum Theory Basics3.1 Basics of Non-Relativistic Quantum Mechanics3.1.1 Soft Introduction to Quantum Mechanics3.1.2 Quantum States and Operators3.1.3 The Tree Standard Quantum Pictures3.1.4 Dirac's Probability Amplitude and Perturbation3.1.5 State-Space for n Non-Relativistic Quantum Particles3.2 Introduction to Quantum Fields3.2.1 Amplitude, Relativistic Invariance and Causality3.2.2 Gauge Theories3.2.3 Free andInteracting Field Theories3.2.4 Dirac's Quantum Electrodynamics (QED)3.2.5 Abelian Higgs Model3.2.6 Topological Quantum Computation3.3 The Feynman Path Integral3.3.1 The Action-Amplitude Formalism3.3.2 Correlation Functions and Generating Functional3.3.3 Quantization of the Electromagnetic Field3.3.4 Wavelet-Based QFT3.4 The Path-Integral TQFT3.4.1 Schwarz-Type and Witten-Type Theories3.4.2 Hodge Decomposition Theorem3.4.3 Hodge Decomposition and Chern-Simons Theory3.5 Non-Abelian Gauge Theories3.5.1 Introduction to Non-Abelian Theories3.5.2 Yang-Mills Theory3.5.3 Quantization of Yang-Mills theory3.5.4 Basics of Conformal Field Theory (CFT) 4 Spatio-Temporal Chaos, Solitons and NLS4.1 Reaction-Diffusion Processes and Ricci Flow4.1.1 Bio-Reaction-Diffusion Systems4.1.2 Reactive Neurodynamics4.1.3 Dissipative Evolution Under the Ricci Flow4.2 Turbulence and Chaos in PDEs4.3 Quantum Chaos and Its Control4.3.1 Quantum Chaos vs. Classical Chaos4.3.2 Optimal Control of Quantum Chaos4.4 Solitions4.4.1 Short History of Solitons4.4.2 Lie-Poisson Bracket4.4.3 Solitons and Muscular Contraction4.5 Dispersive Wave Equations and Stability of Solitons4.5.1 KdV Solitons4.5.2 The Inverse Scattering Approach4.6 Nonlinear Schr¨odinger Equation (NLS)4.6.1 Cubic NLS4.6.2 Nonlinear Wave and Schr¨odinger Equations4.6.3 Physical NLS-Derivation4.6.4 A Compact Attractor for High-Dimensional NLS4.6.5 Finite-Difference Scheme for NLS4.6.6 Method of Lines for NLS 5 Quantum Brain and Cognition5.1 Biochemistry of Microtubules5.2 Kink Soliton Model of MT-Dynamics5.3 Macro- and Microscopic Neurodynamical Self-Similarity5.3.1 Open Liouville Equation5.4 Dissipative Quantum Brain Model5.5 QED Brain Model5.6
1 Introduction1.1 Neurodynamics1.2 Quantum Computation1.3 Discrete Quantum Computers1.4 Topological Quantum Computers1.5 Computation at the Edge of Chaos and Quantum Neural Networks1.6 Adaptive Path Integral: An 1-Dimensional QNN1.6.1 Computational Partition Function1.6.2 From Thermodynamics to Quantum Field Theory1.6.3 1-Dimensional QNNs1.7 Brain Topology vs. Small-World Topology1.8 Quantum Brain and Mind1.8.1 Connectionism, Control Theory and Brain Theory1.8.2 Neocortical Biophysics1.8.3 Quantum Neurodynamics1.8.4 Bi-Stable Perception and Consciousness1.9 Notational Conventions 2 Brain and Classical Neural Networks2.1 Human Brain2.1.1 Basics of Brain Physiology2.1.2 Modern 3D Brain Imaging2.2 Biological versus Artificial Neural Networks2.2.1 Common Discrete ANNs2.2.2 Common Continuous ANNs2.3 Synchronization in Neurodynamics2.3.1 Phase Synchronization in Coupled Chaotic Oscillators2.3.2 Oscillatory Phase Neurodynamics2.3.3 Kuramoto Synchronization Model2.3.4 Lyapunov Chaotic Synchronization2.4 Spike Neural Networks and Wavelet Resonance2.4.1 Ensemble Neuron Model2.4.2 Wavelet Neurodynamics2.4.3 Wavelets of Epileptic Spikes2.5 Human Motor Control and Learning2.5.1 Motor Control2.5.2 Human Memory2.5.3 Human Learning2.5.4 Spinal Musculo-Skeletal Control2.5.5 Cerebellum and Muscular Synergy 3 Quantum Theory Basics3.1 Basics of Non-Relativistic Quantum Mechanics3.1.1 Soft Introduction to Quantum Mechanics3.1.2 Quantum States and Operators3.1.3 The Tree Standard Quantum Pictures3.1.4 Dirac's Probability Amplitude and Perturbation3.1.5 State-Space for n Non-Relativistic Quantum Particles3.2 Introduction to Quantum Fields3.2.1 Amplitude, Relativistic Invariance and Causality3.2.2 Gauge Theories3.2.3 Free andInteracting Field Theories3.2.4 Dirac's Quantum Electrodynamics (QED)3.2.5 Abelian Higgs Model3.2.6 Topological Quantum Computation3.3 The Feynman Path Integral3.3.1 The Action-Amplitude Formalism3.3.2 Correlation Functions and Generating Functional3.3.3 Quantization of the Electromagnetic Field3.3.4 Wavelet-Based QFT3.4 The Path-Integral TQFT3.4.1 Schwarz-Type and Witten-Type Theories3.4.2 Hodge Decomposition Theorem3.4.3 Hodge Decomposition and Chern-Simons Theory3.5 Non-Abelian Gauge Theories3.5.1 Introduction to Non-Abelian Theories3.5.2 Yang-Mills Theory3.5.3 Quantization of Yang-Mills theory3.5.4 Basics of Conformal Field Theory (CFT) 4 Spatio-Temporal Chaos, Solitons and NLS4.1 Reaction-Diffusion Processes and Ricci Flow4.1.1 Bio-Reaction-Diffusion Systems4.1.2 Reactive Neurodynamics4.1.3 Dissipative Evolution Under the Ricci Flow4.2 Turbulence and Chaos in PDEs4.3 Quantum Chaos and Its Control4.3.1 Quantum Chaos vs. Classical Chaos4.3.2 Optimal Control of Quantum Chaos4.4 Solitions4.4.1 Short History of Solitons4.4.2 Lie-Poisson Bracket4.4.3 Solitons and Muscular Contraction4.5 Dispersive Wave Equations and Stability of Solitons4.5.1 KdV Solitons4.5.2 The Inverse Scattering Approach4.6 Nonlinear Schr¨odinger Equation (NLS)4.6.1 Cubic NLS4.6.2 Nonlinear Wave and Schr¨odinger Equations4.6.3 Physical NLS-Derivation4.6.4 A Compact Attractor for High-Dimensional NLS4.6.5 Finite-Difference Scheme for NLS4.6.6 Method of Lines for NLS 5 Quantum Brain and Cognition5.1 Biochemistry of Microtubules5.2 Kink Soliton Model of MT-Dynamics5.3 Macro- and Microscopic Neurodynamical Self-Similarity5.3.1 Open Liouville Equation5.4 Dissipative Quantum Brain Model5.5 QED Brain Model5.6
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