Title:听One component quantum mechanics and leakage free path
Speaker: Prof. Lianao Wu,听Department of Physics, the Faculty of Science and Technology,听UPV-EHU in Leioa ()
Location:听HP 4351 (MacPhail Room)
Date: Friday, Sept 8, 2023听
Time: 3:30 鈥� 4:30 pm (Coffee starts at 3 pm in the adjacent board room)
Abstract:听 We use a 听Feshbach P-Q partitioning technique to derive a closed one- component integro-differential equation. The resultant equation听properly traces the footprint of the target state in quantum control theory. The physical significance of the derived dynamical equation is听illustrated by both general analysis and concrete examples. 听Leakage from an encoded subspace to the rest of the system space is a听particularly serious problem for which leakage elimination operators (LEOs) were introduced. By using the resultant dynamical equation, we听show that the effectiveness of LEOs depends on the integral of the pulse sequence in the time domain, which has been missing because of听the idealization of pulse sequences. Our results are applied to a three- level system for the nitrogen-vacancy centers under an external听magnetic field and are illustrated by the fidelity dynamics of LEO sequences, ranging from regular rectangular pulses, random pulses, and听even disordered (noisy) pulses.
Please contact Prof. Yiqiang Zhao (zhao@math.carleton.ca) if you would like to set up an individual meeting with the speaker.