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arXiv · 1205.3034

Dynamical invariants for quantum control of four-level systems

Utkan Güngördü·Yidun Wan·Mohammad Ali Fasihi·Mikio Nakahara
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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.

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Utkan Güngördü, Yidun Wan, Mohammad Ali Fasihi, Mikio Nakahara. 2013-01-08. Dynamical invariants for quantum control of four-level systems. https://doi.org/10.1103/physreva.86.062312

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