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.

• Cover
• Copyright
• How to read this book
• Introduction
• Chapter 1: The Idea of Quantum Simulation
• Chapter 2: Mathematical Foundations for Quantum Many-Body Systems
• Chapter 3: Classical Simulation and Its Barriers
• Chapter 4: Canonical Models in Quantum Simulation
• Chapter 5: Complexity, Universality, and Quantum Advantage
• Chapter 6: Analog Quantum Simulation
• Chapter 7: Digital Quantum Simulation
• Chapter 8: Advanced Hamiltonian Simulation Algorithms
• Chapter 9: Fermions, Chemistry, and Materials
• Chapter 10: Variational Quantum Simulation
• Chapter 11: Quantum Phase Estimation and Spectral Methods
• Chapter 12: Open Quantum Systems and Nonunitary Dynamics
• Chapter 13: Lattice Gauge Theories and High-Energy Physics
• Chapter 14: Quantum Simulation of Condensed Matter Phases
• Chapter 15: Cold Atoms and Optical Lattices
• Chapter 16: Trapped Ions, Superconducting Circuits, Photonics, and Other Platforms
• Chapter 17: Verification, Validation, and Benchmarking
• Chapter 18: Noise, Error Mitigation, and Fault Tolerance
• Chapter 19: Current High-Impact Literature and Research Frontiers
• Chapter 20: Designing a Quantum Simulation Study
• Chapter 21: Case Studies from End to End
• Chapter 22: The Road Ahead
• Conclusion