Lie Algebraic Analysis and Control of Quantum Dynamics

Details Lie Algebraic Analysis and Control of Quantum Dynamics Lie Algebraic Analysis and Control of Quantum Dynamics

2008-03-07

arxiv.org/abs/0803.1193v3

Physics

Quantum Physics

New version. It does not contain the application to quantum walks. This part in the previous version contained an error. It ha

Scientific paper

In this paper, we show how to use the analysis of the Lie algebra associated
with a quantum mechanical system to study its dynamics and facilitate the
design of controls. We give algorithms to decompose the dynamics and describe
their application to the control of two coupled spin 1/2's.

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