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From Pontryagin Maximum Principle to Time-Optimal Control of Quantum Gates
Mon, Aug 26, 2013 @ 02:00 PM - 03:00 PM
Ming Hsieh Department of Electrical and Computer Engineering
Conferences, Lectures, & Seminars
Speaker: Dr. Xiaoting Wang, U Mass Boston
Talk Title: From Pontryagin Maximum Principle to Time-Optimal Control of Quantum Gates
Abstract: Pontryagin maximum principle is the most fundamental tool to discuss time-optimal control problems. For quantum systems decoupled from the environment, the time-optimal solution for gate generation can be either a smooth trajectory or a bang-bang type of trajectory, depending on the physical assumption on the Hamiltonian. I will present a uniformed picture and show that both solutions can be derived from Pontryagin maximum principle. Moreover, for the smooth case, the time-optimal solutions coincide with the geodesics on the unitary space under some metric. These interpretations in principle will help us find more efficient time-optimal control algorithms than standard brute-force optimization routine.
Host: Todd Brun, tbrun@usc.edu, EEB 502, x03503
Location: Hughes Aircraft Electrical Engineering Center (EEB) - 539
Audiences: Everyone Is Invited
Contact: Gerrielyn Ramos
