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Table of contents
Quantum Simulation
From foundational principles and historical milestones to algorithms, platforms, error mitigation, and frontier research
Read each section in order. Every title can be opened as a TheoryTrace document.
- Cover1
- Copyright2
- How to read this book3
- Introduction4
- Chapter 1: The Idea of Quantum Simulation5
- Chapter 2: Mathematical Foundations for Quantum Many-Body Systems6
- Chapter 3: Classical Simulation and Its Barriers7
- Chapter 4: Canonical Models in Quantum Simulation8
- Chapter 5: Complexity, Universality, and Quantum Advantage9
- Chapter 6: Analog Quantum Simulation10
- Chapter 7: Digital Quantum Simulation11
- Chapter 8: Advanced Hamiltonian Simulation Algorithms12
- Chapter 9: Fermions, Chemistry, and Materials13
- Chapter 10: Variational Quantum Simulation14
- Chapter 11: Quantum Phase Estimation and Spectral Methods15
- Chapter 12: Open Quantum Systems and Nonunitary Dynamics16
- Chapter 13: Lattice Gauge Theories and High-Energy Physics17
- Chapter 14: Quantum Simulation of Condensed Matter Phases18
- Chapter 15: Cold Atoms and Optical Lattices19
- Chapter 16: Trapped Ions, Superconducting Circuits, Photonics, and Other Platforms20
- Chapter 17: Verification, Validation, and Benchmarking21
- Chapter 18: Noise, Error Mitigation, and Fault Tolerance22
- Chapter 19: Current High-Impact Literature and Research Frontiers23
- Chapter 20: Designing a Quantum Simulation Study24
- Chapter 21: Case Studies from End to End25
- Chapter 22: The Road Ahead26
- Conclusion27