Quantum Algorithms for Dynamics and Dynamical Observables - IPAM at UCLA

Explore quantum algorithms for dynamics and dynamical observables in this comprehensive lecture by Alexander Kemper from North Carolina State University. Delve into the fundamental aspects of response functions and their role in linking experimental observations to quantum many-body states. Discover a novel method for measuring response functions using a linear response framework, which integrates the experiment into quantum simulation. Learn about the frequency- and momentum-selective capabilities of this ancilla-free approach, and its applications in studying bosonic and fermionic Green's functions, as well as charge-density-wave materials. Examine recent advancements in using Lie algebraic methods for simulating dynamics on quantum computers, including techniques to overcome limitations of Trotter decomposition. Gain insights into synthesizing exact quantum circuit representations through Cartan decomposition and explore algorithms for compressing circuit elements in specific classes of Hamiltonians.