Utkan Güngördü, Yidun Wan, Mohammad Ali Fasihi, Mikio Nakahara
We, for the first time, present a full 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 give rise to exact solutions of time-dependent Schr\"odinger equation of four-level systems but also enables the control of four-level systems fast and beyond adiabatic regimes.
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http://arxiv.org/abs/1205.3034
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