Dynamical invariants for quantum control of four-level systems
Quantum Physics
2013-01-09 v3 Mathematical Physics
math.MP
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 Schr\"odinger 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.
Cite
@article{arxiv.1205.3034,
title = {Dynamical invariants for quantum control of four-level systems},
author = {Utkan Güngördü and Yidun Wan and Mohammad Ali Fasihi and Mikio Nakahara},
journal= {arXiv preprint arXiv:1205.3034},
year = {2013}
}
Comments
11 pages, 5 tables