Lie Algebraic Analysis and Control of Quantum Dynamics
Domenico D'Alessandro
TL;DR
This paper introduces a Lie algebra-based framework for analyzing and controlling quantum systems, providing algorithms for decomposition and demonstrating their application to coupled spin systems.
Contribution
It presents a novel Lie algebraic approach for quantum control design, including algorithms for dynamics decomposition and application to spin systems.
Findings
Algorithms for Lie algebra decomposition of quantum dynamics
Application to control of coupled spin-1/2 systems
Enhanced understanding of quantum control mechanisms
Abstract
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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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum Information and Cryptography · Algebraic structures and combinatorial models