General formalism of Hamiltonians for realizing a prescribed evolution of a qubit
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.
 Publication:

Physical Review A
 Pub Date:
 December 2003
 DOI:
 10.1103/PhysRevA.68.062307
 arXiv:
 arXiv:quantph/0406185
 Bibcode:
 2003PhRvA..68f2307T
 Keywords:

 03.67.Hk;
 03.65.Yz;
 03.65.Vf;
 Quantum communication;
 Decoherence;
 open systems;
 quantum statistical methods;
 Phases: geometric;
 dynamic or topological;
 Quantum Physics
 EPrint:
 6 pages