Hamiltonian Simulation and its Applications

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.

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.

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.

Hamiltonian simulation and Qubitization

Build a precise algorithm for simulation using qubitization and LCUs.

Quantum signal processing

Perform polynomial transformations on an encoded scalar.

QSVT for Hamiltonian Simulation

Use the Quantum Singular Value Transformation for Hamiltonian Simulation.