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General formalism of Hamiltonians for realizing a prescribed evolution of a qubit

D. M. Tong·Jing-Ling Chen·L. C. Kwek·C. H. Lai·C. H. Oh
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Abstract

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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D. M. Tong, Jing-Ling Chen, L. C. Kwek, C. H. Lai, C. H. Oh. 2004-06-25. General formalism of Hamiltonians for realizing a prescribed evolution of a qubit. https://doi.org/10.1103/physreva.68.062307

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