Control of finite-dimensional quantum systems: Application to a spin-12 particle coupled with a finite quantum harmonic oscillator

DOI10.1063/1.1852701zbMath1076.81010OpenAlexW1987036616MaRDI QIDQ3024230

C. Rangan, Anthony M. Bloch

Publication date: 30 June 2005

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1852701

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99)

Related Items (4)

One Lyapunov control for quantum systems and its application to entanglement generation ⋮ THE TRAPPED-ION QUBIT: COHERENT CONTROL IN INFINITE-DIMENSIONAL QUANTUM SYSTEMS ⋮ Approximate controllability for a system of Schrödinger equations modeling a single trapped ion ⋮ Koopman wavefunctions and classical states in hybrid quantum-classical dynamics

Cites Work

• Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov.
• Complete controllability of finite-level quantum systems
• On the controllability of quantum-mechanical systems
• Controllability of quantum mechanical systems by root space decomposition of su(N)
• Lie Theory and Control Systems Defined on Spheres
• The optimal control problem on SO(4) and its applications to quantum control

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