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LANS Seminar
November 2, 2022 @ 10:30 - 11:30 CDT
Seminar Title: Deterministic and Robust Control Pulse Optimization for Quantum Systems
Speaker: Xinyu Fei, PhD Candidate, University of Michigan
Date/Time: November 2, 2022 / 10:30 AM – 11:30 AM
Location: See meeting URL on the cels-seminars website (requires Argonne login)
Host: Jeff Larson
Description: We study a binary optimal quantum control problem highly corresponding to diverse quantum algorithms. We develop a generic discrete-valued model and several extensions to handle additional side constraints and reduce switches. We propose an algorithmic framework combining modified popular gradient ascent pulse engineering (GRAPE) algorithm, a new alternating direction method of multipliers (ADMM) algorithm, rounding techniques, and a modified trust-region method to obtain high-quality control with less chattering. Furthermore, we develop new approaches to extract controller sequences from fractional discretized control solutions and propose a switching time optimization model with a given controller sequence, which improves the solutions as well as reduces the computation. Taking the uncertainty of controllers into account, we propose an extended chance-constrained model with a conditional value at risk (CVaR) function. We derive a closed formulation for the non-differentiable and non-convex objective function and solve the model based on our previous modified GRAPE algorithm. We demonstrate that our CVaR model improves the robustness of controls under uncertain circumstances.
Bio: Xinyu Fei is a Ph.D. Candidate at the Department of Industrial and Operations Engineering at the University of Michigan. Her research interest focuses on developing models and efficient algorithms for solving large-scale nonconvex optimization problems in complex networks. Her awards include the Michigan Institute for Computational Discovery and Engineering (MICDE) Student Fellowship (2021) and the Engineering Graduate Fellowship, UM 2019.
Please note that the meeting URL for this event can be seen on the cels-seminars website, which requires an Argonne login.