Hybrid Quantum Computing: Architectures, Algorithms, and Applications
A Comprehensive Educational Framework for the NISQ Era
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Application Domains
Finance, Chemistry, AI/ML, Materials Science, Cryptography, Logistics, Energy/Climate
Gate Reduction
AD-VQE achieves 15-30% fewer two-qubit gates through adaptive circuit depth
Fewer Operations
PO-QAOA delivers 40-60% reduction in entangling operations for photonic hardware
⚛️ Novel Algorithmic Contributions
AD-VQE (Adaptive Depth Variational Quantum Eigensolver)
Gradient-guided circuit depth growth with entanglement entropy analysis. Automatically avoids barren plateaus while maintaining chemical accuracy.
✓ 15-30% fewer two-qubit gatesPO-QAOA (Photonic-Optimised Quantum Approximate Optimization Algorithm)
Connectivity-aware mixer design using XY interactions matching beam splitter networks. Optimised for photonic hardware constraints.
✓ 40-60% fewer entangling operationsHCQ-EM (Hybrid Classical-Quantum Error Mitigation)
Structure-aware mitigation leveraging problem structure. Identifies high-contribution circuit components for selective heavy mitigation.
✓ 2-3× mitigation efficiency improvement📖 Table of Contents
- Ch 1: Introduction
- Ch 2: Background & Fundamentals
- Ch 3: Hybrid Architectures
- Ch 4: Algorithms & Software
- Ch 5: Experimental Results
- Ch 6: Applications
- Ch 7: Challenges & Future
- Ch 8: Conclusion
- Ch 9: Extended Paradigms & Quantonic Innovations
- Appendix A: Figures & Diagrams
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