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Purpose

This purpose of this paper is to present a new approach of solving quantum control problem.

Design/methodology/approach

State‐transition‐matrix (STM) is used to solute quantum control problem.

Findings

The paper obtains the matrix representation for wave function, normalization, and some other quantum operators, and then gives the possible methods to establish the STM model and solve it.

Originality/value

Based on this, many tools of the widely used control theory can be adopted to denote or analyze the quantum system.

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