Dynamical invariants for quantum control of four-level systems
arXiv:1205.3034 · doi:10.1103/PhysRevA.86.062312
Abstract
We present a Lie-algebraic classification and detailed construction of the dynamical invariants, also known as Lewis-Riesenfeld invariants, of the four-level systems including two-qubit systems which are most relevant and sufficiently general for quantum control and computation. These invariants not only solve the time-dependent Schrödinger equation of four-level systems exactly but also enable the control, and hence quantum computation based on which, of four-level systems fast and beyond adiabatic regimes.
11 pages, 5 tables
References in corpus (6)
- Shortcut to adiabatic passage in two and three level atoms
- Lewis-Riesenfeld invariants and transitionless tracking algorithm
- Fast atomic transport without vibrational heating
- Transient energy excitation in shortcuts to adiabaticity for the time dependent harmonic oscillator
- Geometric phases and Bloch sphere constructions for SU(N), with a complete description of SU(4)
- General Form of Magnetization Damping: Magnetization dynamics of a spin system evolving nonadiabatically and out of equilibrium