Hamiltonian Simulation and its Applications

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Master cutting-edge techniques for simulating physical systems in a quantum computer.

TE: Hamiltonian Time Evolution

Become familiar with how to simulate the time evolution of a quantum system subject to external interactions.

Simulating Nature

Use computers to simulate the laws of nature

Unitaries

Understand why quantum gates are unitary.

Hamiltonians

Predict the evolution of a system from its physics.

Simulating Nature

Use computers to simulate the laws of nature

Unitaries

Understand why quantum gates are unitary.

Hamiltonians

Predict the evolution of a system from its physics.

Energy in quantum systems

Understand the relation between Hamiltonians and energy.

Approximating exponentials

Simulate unitary evolution using circuits.

Learn cutting-edge techniques to simulate physical systems in quantum devices.

Product Formulas

Implement general product formulas to simulate Hamiltonian evolution

Block encoding LCUs

Begin implementing non-unitary operations using quantum circuits.

Qubitization and energy levels

Find the eigenvalues of a Hamiltonian using qubitization.