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

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

2011-10-31

arxiv.org/abs/1110.6707v2

J. Phys. Soc. Jpn. 81 (2012) 024007

Physics

Quantum Physics

9 pages, 9 figures, version to appear in J. Phys. Soc. Jpn

Scientific paper

10.1143/JPSJ.81.024007

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.

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