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Simulating Hamiltonians
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Classroom Contents
Recent Advances in Quantum Simulation with Applications to Chemistry and Field Theory
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- 1 Intro
- 2 Overview
- 3 Time-Dependent Hamiltonians
- 4 Mathematics of Time-Dependent H
- 5 Problems
- 6 Linear Combinations of Unitaries / QDRIFT
- 7 Simplest Case: QDRIFT
- 8 What's the complexity?
- 9 Truncated Dyson Series Simulation
- 10 Complexity of simulation
- 11 Interaction Picture Simulation
- 12 Simulating Hamiltonians
- 13 Trotter Formulas
- 14 Main Result
- 15 Technique
- 16 Multi-Product Formulas
- 17 How does it work?
- 18 Performance
- 19 Simulation of Schwinger Model
- 20 Actual Gate Counts
- 21 Conclusion
