🧠 Quantum Neural Networks

Merging quantum computing with machine learning

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🤖 The Quantum-Classical Convergence

Quantum Neural Networks (QNNs) combine quantum computing's exponential power with neural networks' learning capabilities. By encoding data in quantum states and using parameterized quantum circuits as trainable layers, QNNs can represent complex functions in exponentially smaller parameter spaces—potentially revolutionizing AI.

💡 Why Quantum Neural Networks?

Classical neural networks with N neurons can represent 2^N states, but need exponential parameters. Quantum networks encode N qubits in 2^N dimensional Hilbert space naturally—exponential representational capacity with linear resources. A 20-qubit QNN can represent patterns requiring 1 million classical neurons.

Classical NN (10 neurons):
~1000 parameters
Classical NN (1M neurons):
~1B parameters
QNN (10 qubits):
~30 parameters
QNN (20 qubits):
~60 parameters

🎯 What You'll Learn

⚛️
QNN Architectures
VQC, QCNN, QGAN, QRNN
🔄
Training Methods
Parameter-shift, gradient descent
🧬
Quantum Kernels
Feature maps, kernel methods
🚀
Real Applications
Classification, generation, prediction

📊 Classical vs Quantum Neural Networks

🧠Classical NN
State space:Linear in params
Training:Backpropagation
Data:Classical bits
⚛️Quantum NN
State space:Exponential in qubits
Training:Parameter-shift
Data:Quantum states

🔬 Key Insight: Quantum Advantage

QNNs excel at problems with quantum data (molecular dynamics, quantum sensors), high-dimensional patterns (feature interactions in exponential space), and structured data (graphs, sequences with entanglement). The advantage comes from representing correlations classical networks need exponential parameters to capture.