General formalism of Hamiltonians for realizing a prescribed evolution of a qubit
Quantum Physics
2009-11-10 v1
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.
Cite
@article{arxiv.quant-ph/0406185,
title = {General formalism of Hamiltonians for realizing a prescribed evolution of a qubit},
author = {D. M. Tong and Jing-Ling Chen and L. C. Kwek and C. H. Lai and C. H. Oh},
journal= {arXiv preprint arXiv:quant-ph/0406185},
year = {2009}
}
Comments
6 pages