Non-adiabatic Fast Control of Mixed States Based on Lewis-Riesenfeld Invariant

作者：Fasihi, Mohammad-Ali^*; Wan, Yidun; Nakahara, Mikio

来源：Journal of the Physical Society of Japan, 2012, 81(2): 024007.

DOI：10.1143/JPSJ.81.024007

• Lewis-Riesenfeld invariant
• quantum control
• nonadiabatic control
• quantum computation
• NMR
• NMR quantum computer
• quantum cooling

We apply the inversely-engineered control method based on Lewis-Riesenfeld invariants to control mixed states of a two-level quantum system. We show that the inversely-engineered control passages of mixed states-and pure states as special cases-can be made significantly faster than the conventional adiabatic control passages, which renders the method applicable to quantum computation. We devise a new type of inversely-engineered control passages, to be coined the antedated control passages, which further speed up the control significantly. We also demonstrate that by carefully tuning the control parameters, the inversely-engineered control passages can be optimized in terms of speed and energy cost.

• 出版日期2012-2