Simulation Problems

This lecture by Jeffrey Cohn was originally created for the 2022 Qiskit Global Summer School on Quantum Simulation.

Suggested reading

• Lec2 (password: RpsiC5yx)

• Andrew Childs lecture notes (chapters 25-27)

• Theory of Trotter Error with Commutator Scaling

• A random compiler for fast Hamiltonian simulation

• Concentration for random product formulas

• Optimal Hamiltonian Simulation by Quantum Signal Processing

• Learn Quantum Computation Using Qiskit:

  • 3.5 QFT

  • 3.6 QPE

  • 4.1.2 VQE

• Barren plateaus in quantum neural network training landscapes

• Quantum Subspace Methods (1)

• QEOM

• Quantum Subspace Methods (2):

  • https://arxiv.org/pdf/2103.08563.pdf

  • https://arxiv.org/abs/1911.05163

  • https://arxiv.org/abs/2109.06868

  • https://arxiv.org/abs/1909.08925

  • https://journals.aps.org/prxquantum/abstract/10.1103/PRXQuantum.2.040352

• Gibbs States:

  • QITE

  • https://arxiv.org/abs/0911.3635

  • https://www.nature.com/articles/s41534-019-0187-2

  • https://arxiv.org/abs/1609.07877