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Complete controllability of finite-level quantum systems

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abstract

Complete controllability is a fundamental issue in the field of control of quantum systems, not least because of its implications for dynamical realizability of the kinematical bounds on the optimization of observables. In this paper we investigate the question of complete controllability for finite-level quantum systems subject to a single control field, for which the interaction is of dipole form. Sufficient criteria for complete controllability of a wide range of finite-level quantum systems are established and the question of limits of complete controllability is addressed. Finally, the results are applied to give a classification of complete controllability for four-level systems.

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representative citing papers

Dipolar optimal control of entangled current states

cond-mat.quant-gas · 2025-07-30 · conditional · novelty 6.0

Dipolar quantum optimal control via time-dependent magnetic-field orientation prepares entangled current states in ring lattices, with fidelities matching symmetry-imposed upper bounds.

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  • Dipolar optimal control of entangled current states cond-mat.quant-gas · 2025-07-30 · conditional · none · ref 52 · internal anchor

    Dipolar quantum optimal control via time-dependent magnetic-field orientation prepares entangled current states in ring lattices, with fidelities matching symmetry-imposed upper bounds.