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Control of non-controllable quantum systems: A quantum control algorithm based on Grover iteration

Chen-Bin Zhang·Dao-Yi Dong·Zong-Hai Chen
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Abstract

A new notion of controllability, eigenstate controllability, is defined for finite-dimensional bilinear quantum mechanical systems which are neither strongly completely controllably nor completely controllable. And a quantum control algorithm based on Grover iteration is designed to perform a quantum control task of steering a system, which is eigenstate controllable but may not be (strongly) completely controllable, from an arbitrary state to a target state.

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Chen-Bin Zhang, Dao-Yi Dong, Zong-Hai Chen. 2005-03-02. Control of non-controllable quantum systems: A quantum control algorithm based on Grover iteration. https://doi.org/10.1088/1464-4266/7/10/015

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