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arxiv: 0803.1193 · v3 · submitted 2008-03-07 · 🪐 quant-ph

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Lie Algebraic Analysis and Control of Quantum Dynamics

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classification 🪐 quant-ph
keywords dynamicsanalysiscontrolquantumalgebraalgebraicalgorithmsapplication
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Bridging Krylov Complexity and Universal Analog Quantum Simulator

    quant-ph 2026-05 unverdicted novelty 6.0

    Generalized Krylov complexity predicts the minimum time to realize target operations in analog quantum simulators such as Rydberg atom arrays.