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

Abstract

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.

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

References in corpus (7)

• Shortcut to adiabatic passage in two and three level atoms
• Lewis-Riesenfeld invariants and transitionless tracking algorithm
• Fast atomic transport without vibrational heating
• Optimal trajectories for efficient atomic transport without final excitation
• Transient energy excitation in shortcuts to adiabaticity for the time dependent harmonic oscillator
• Controllable coherent population transfers in superconducting qubits for quantum computing
• Dynamical invariants and nonadiabatic geometric phases in open quantum systems

Cited by in corpus (10)

• Shortcuts to adiabaticity
• Optimally robust shortcuts to population inversion in two-level quantum systems
• Fast population transfer engineering of three-level systems
• Driving at the quantum speed limit: Optimal control of a two-level system
• Analytical approach to swift nonleaky entangling gates in superconducting qubits
• Time-Optimal Adiabatic-Like Expansion of Bose-Einstein Condensates
• Spin-selective electron transfer in quantum dot array
• Time-independent approximations for time-dependent optical potentials
• Fast Frictionless Expansion of an Optical Lattice
• Dynamical invariant formalism of shortcuts to adiabaticity