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General formalism of Hamiltonians for realizing a prescribed evolution of a qubit
Citation
Tong, D. M., Chen, J.-L., Kwek, L. C., Lai, C. H., & Oh, C. H. (2003). General formalism of Hamiltonians for realizing a prescribed evolution of a qubit. Physical Review A, 68(6), Article 062307. https://doi.org/10.1103/PhysRevA.68.062307
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.
Date Issued
2003
Publisher
American Physical Society
Journal
Physical Review A