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Open Quantum Systems Decoherence

Trajectory-constrained optimal local time-continuous waveform controls for state transitions in N-level quantum systems

arXiv

Authors: Ming Zhang, Jia-Hua Wei, Weiwei Zhou, Hong-Yi Dai, Zairong Xi, S. G. Schirmer

Year

2010

Paper ID

10863

Status

Preprint

Abstract Read

~2 min

Abstract Words

107

Citations

N/A

Abstract

Based on a parametrization of pure quantum states we explicitly construct a sequence of (at most) 4N-5 local time-continuous waveform controls to achieve a specified state transition for N-level quantum systems when sufficient controls of the Hamiltonian are available. The control magnitudes are further optimized in terms of a time-energy performance, which is a generalization of the time performance index. Trajectory-constrained optimal local time-continuous waveform controls, including both local sine-waveforms and n^{rm th}-order-polynomial waveform controls are obtained in terms of time-energy performance. It is demonstrated that constrained optimal local n^{rm th}-order-polynomial waveform controls approach constrained optimal bang-bang controls when n→infty.

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Based on a parametrization of pure quantum states we explicitly construct a sequence of (at most) 4N-5 local time-continuous waveform controls to achieve a specified state...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1010.2805 [2] arXiv https://arxiv.org/abs/1010.2805 [3] Publisher https://arxiv.org/abs/1010.2805

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