实现量子比特预定演化的哈密顿算符的一般形式
General formalism of Hamiltonians for realizing a prescribed evolution of a qubit
摘要：
我们研究了关于量子比特系统演化的逆问题，具体地说，我们考虑了如何建立量子比特在投影希尔伯特空间中沿着规定路径演化的哈密顿量。对于给定的路径，有无穷多个哈密顿算子可以实现相同的演化。一般形式的哈密顿构造，其中一个可以选择所需的一个实现规定的演变。该格式可以推广到高维系统。
英文摘要：
We investigate the inverse problem concerning the evolution of a qubit system, specifically we consider how one can establish the Hamiltonians that account for the evolution of a qubit along a prescribed path in the projected Hilbert space. For a given path, there are infinite Hamiltonians which can realize the same evolution. A general form of the Hamiltonians is constructed in which one may select the desired one for implementing a prescribed evolution. This scheme can be generalized to higher dimensional systems.
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