Hi all,
Tomorrow Peter will talk at group meeting. See below for his title and
abstract.
All the best,
Ian
-----------------
Title: A digital quantum algorithm for simulating non-Markovian dynamics
Abstract: What role does quantum coherence play in the efficiency of
photosynthesis? How exactly will the superconducting qubits in a quantum
computer decohere? Such quantum systems interact significantly with their
environments. So, addressing these questions requires *open quantum system*
modeling. To make things more challenging, such systems evolve on time
scales that are comparable to the relaxation rates of their environments.
Hence, the environment remembers how it was previously altered by the
system, and affects the system accordingly. As the environment is not
memoryless, the dynamics are said to be “non-Markovian”. Properly solving
for non-Markovian dynamics generally requires significant computational
resources. One state of the art approach, known as the “hierarchically
coupled equations of motion” (HEOM) method, requires computational
resources which scale exponentially with the accuracy of the model.
Overcoming this inefficiency would enable simulations that could shed light
on the questions above. We propose a quantum algorithm inspired by HEOM for
simulating such non-Markovian dynamics, which requires just polynomial
scaling of resources in certain regimes.
Show replies by date