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An efficient computational method for the optimal control of higher dimensional quantum systems

机译:高维量子系统最优控制的一种有效计算方法

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The process of obtaining solutions to optimal control problems via mesh based techniques suffers from the well known problem of the curse of dimensionality. This issue is especially severe in quantum systems whose dimensions grow exponentially with the number of interacting elements (qubits) that they contain. In this article we develop a modification of recently introduced curse-of-dimensionality-free max-plus techniques, to the control of quantum systems. This method yields a more manageable growth that is related to the cardinality of the control set. Its efficacy is demonstrated by obtaining an approximate solution to a previously intractable problem on a 2 qubit system.
机译:通过基于网格的技术来获得最优控制问题的解决方案的过程遭受着维数诅咒的众所周知的问题。这个问题在量子系统中尤为严重,其尺寸随其所包含的相互作用元素(量子位)的数量呈指数增长。在本文中,我们将对最近引入的无维数诅咒的最大加法技术进行了改进,以控制量子系统。此方法产生与控件集的基数有关的更易于控制的增长。通过获得2量子位系统上先前棘手的问题的近似解决方案,可以证明其有效性。

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