Quantum AI 2025: 1M Qubits, 10^12x ML Speedup, $50B Market, Grover's 10^6x Search

1M QUBITS • 10^12X ML SPEEDUP • QUANTUM SVM 100X ACCURACY • $50B QUANTUM AI MARKET

❓ Quantum vs Classical ML Speed?

Quantum: O(√N) vs Classical O(N). Grover's algorithm 10^6x faster database search. QSVM trains 100M params in 10s vs 10 days GPU.

Quantum Machine Learning Algorithms

QSVM: Kernel Hilbert space 2^n dimensions vs classical n. Grover's search: √N queries vs N. VQE optimizes 10^6 param neural nets in 100s vs 10^7s classical. Quantum advantage at 50 logical qubits.

Algorithm	Classical	Quantum	Speedup
Grover Search	O(N)	O(√N)	10^6x
QSVM Training	10 days	10s	10^5x
QAOA Optimization	10^7s	100s	10^5x

Quantum AI powers drug discovery, materials design, financial modeling.

Quantum Neural Network Architecture

1M qubit QNN: 2^1M parameter space vs GPT-5 10T params. Quantum circuit depth 100 layers, 99.9% fidelity. HHL matrix inversion 10^12x faster than GPU clusters for linear regression.

Hybrid Quantum-Classical Systems

PennyLane/Qiskit: Classical optimizer + quantum circuit. 1000-qubit error mitigation via zero-noise extrapolation. AWS Braket: 50k shots/run, 1μs gate time. Scales to 1M qubits by 2028.

Platform	Qubits	Fidelity	ML Speedup
IBM Quantum	1,121	99.9%	10^6x
Google Sycamore	70	99.5%	10^9x
IonQ	32	99.9%	10^4x

Quantum AI Market Leaders 2025

Company	Qubits	Revenue	Applications
IBM	1,121	$15B	QSVM/Drug Discovery
Google Quantum AI	70	$12B	Quantum Supremacy
Xanadu	216	$8B	Quantum ML Platforms

Drug Discovery Acceleration

Quantum simulates protein folding: 10^15 states/second vs classical 10^6. Pfizer/IBM: 47x faster lead optimization. Quantum chemistry: CCSD(T) accuracy at 100x classical speed for 1000-atom molecules.